MATH 225N Week 8 Assignment Performing Linear Regressions with Technology Excel

MATH 225N Week 8 Assignment: Performing Linear Regressions with Technology Excel

1. Question: The table below shows data on annual expenditure, x (in dollars) on recreation and annual income, y, of 20 families. use Excel to find the best fit linear regression equation round the slope and intercept to the nearest integer
2. Question: The table below represents the number of young people in certain city and rolled in the Academics sport and enrich me program of youth services. hair X represent the number of months from January 2011 and Y represents the number of young people and rolled use Excel to find the best fit linear regression equation around the slope and intercept to two decimal places
3. Question: Energy economics studying the growth and decay of both the coal and Natural Gas Industries wanted to leverage that are collected by environmental scientist. particularly The Economist wanted to study the link between the total yearly carbon emissions from both energy sources the look at 30 years of total yearly carbon emissions for a particular Nation for both forms of energy that data is provided below use Excel the calculate the correlation Coefficient R between the two data sets round your answer to two decimal places.
4. Question: An economy studying the link between the total value of a country’s exports and that country’s gross Domestic Product or GDP The Economist recorded the GDP and export value in millions for 30 Nations for the same fiscal year the sample data is provided below?
5. Question: An owner of a large car Loat believe that fuel prices are going to rise significantly and Wonders how this rise might affect demand for the high performance vehicles. Specifically, the owner is investigating a link between how fast a car can go from 0 to 60 mph measured in seconds and the cars economy as measured in miles traveled per gallon used. fast cars which are normally high in demand are associated with higher mpg than there will be much less demand if gas prices rise as predicted. The owner gathered data on 20 vehicles the data is provided below use Excel to calculate the correlation Coefficient r between the two data sets
6. Question: A team of climatologist civil engineers and automobile engineers are gathering for a conference on climate science where their team is to deliver a keynote address on whether there is a link between fuel efficiency and carbon emissions. fuel efficiency is measured in miles per gallon or mpg and carbon emissions are measured by grams of carbon released into the atmosphere per Mile traveled the data they gathered from 20 different vehicles can be found below use Excel to calculate the correlation Coefficient R between the two data sets round your answer to two decimal places
7. Question: in the following table the age in years of the respondents is given by the X value and the earnings in thousands of dollars of the respondents are given as the Y value use Excel to find the best fit linear regression equation in thousands of dollars around the slope and intercept to 3 decimal places.
8. Question: The Heights in inches and weights in pounds of 25 baseball players are given below use Excel to find the best fit linear regression equation where height is the explanatory variable. round the slope and intercept to two decimal places
   

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MATH 225N Week 8 Assignment: Performing Linear Regressions with Technology Excel

1. Question: An economist is studying the link between the total value of a country’s exports and that country’s gross domestic product, or The economist recorded the GDP and Export value (in millions of $’s) for 30 nations for the same fiscal year. This sample data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
2. Question: The table below shows data on annual expenditure, x(in dollars), on recreation and annual income, y (in dollars), of 20 families. Use Excel to find the best fit linear regression equation. Round the slope and intercept to the nearest
3. Question: Jorge is an economist trying to understand whether there is a strong link between CEO compensation and corporate revenue. He gathered data including the CEO compensation for 30randomly selected corporations for a particular year as well as the corporate revenue of those corporations for the same The data Jorge gathered are provided in the accompanying data table. Use Excel to calculate the correlation coefficient between the two data sets. Round your answer to two decimal places.
4. Question: In the following table, the age (in years) of the respondents is given as the x value, and the earnings (in thousands of dollars) of the respondents are given as the y value. Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
5. Question: The heights (in inches) and weights (in pounds) of 25 baseball players are given below. Use Excel to find the best fit linear regression equation, where height is the explanatory variable. Round the slope and intercept to two decimal places.
6. Question: The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.
7. Question: An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the absolute magnitude or M_V and stellar mass or M for 30 stars. The absolute magnitude of a star is the intensity of light that would be observed from the star at a distance of 10 parsecs from the star. This is measured in terms of a particular band of the light spectrum, indicated by the subscript letter, which in this case is V for the visual light spectrum. The scale is logarithmic and an M_V that is 1 less than another comes from a star that is 10 times more luminous than the other. The stellar mass of a star is how many times the sun’s mass it has. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.
8. Question: An economist is trying to understand whether there is a strong link between CEO pay ratio and corporate revenue. The economist gathered data including the CEO pay ratio and corporate revenue for 30 companies for a particular year. The pay ratio data is reported by the companies and represents the ratio of CEO compensation to the median employee The data are provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
9. Question: An energy economist studying the growth and decay of both the coal and natural gas industries wanted to leverage data collected by environmental scientists. Particularly, the economist wanted to study the link between the total yearly carbon emissions from both energy sources. They looked at 30 years of total yearly carbon emissions for a particular nation (measured in million metric tons of carbon dioxide) for both forms of energy. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
10. Question: An owner of a large car lot believes that fuel prices are going to rise significantly and wonders how this rise might affect demand for the high performance vehicles. Specifically, the owner is investigating a link between how fast a car can go from 0 to 60 miles per hour (measured in seconds) and the car’s economy as measured in miles traveled per gallon used (mpg). If fast cars, which are normally high in demand, are associated with higher mpg then there will be much less demand if gas prices rise as predicted. The owner gathers data on 20vehicles. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
    

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MATH 225N Week 8 Assignment: Performing Linear Regressions with Technology Excel

1. Question: The table below shows data on annual expenditure, x(in dollars), on recreation and annual income, y (in dollars), of 20 Use Excel to find the best fit linear regression equation. Round the slope and intercept to the nearest integer.
2. Question: An economist is studying the link between the total value of a country’s exports and that country’s gross domestic product, or GDP. The economist recorded the GDP and Export value (in millions of $’s) for 30nations for the same fiscal year. This sample data is provided below. 
3. Question: An economist is trying to understand whether there is a strong link between CEO pay ratio and corporate revenue. The economist gathered data including the CEO pay ratio and corporate revenue for30 companies for a particular year. The pay ratio data is reported by the companies and represents the ratio of CEO compensation to the median employee salary. The data are provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
4. Question: The table below gives the average weight (in kilograms) of certain people ages1–20. Use Excel to find the best fit linear regression equation, where age is the explanatory variable. Round the slope and intercept to two decimal places.
5. Question: In the following table, the age (in years) of is given as thex value, and the earnings (in thousands of dollars) of the respondents the respondents are given as the y  Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
6. Question: The heights (in inches) and weights (in pounds) of25 baseball players are given below. Use Excel to find the best fit linear regression equation, where height is the explanatory variable. Round the slope and intercept to two decimal places.
7. Question: A market researcher looked at the quarterly sales revenue for a large e-commerce store and for a large brick-and-mortar retailer over the same period. The researcher recorded the revenue in millions of dollars for30  The data are provided below. Use Excel to calculate the correlation coefficient rbetween the two data sets. Round your answer to two decimal places.
8. Question: An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the absolute magnitude orMV and stellar mass or M⊙ for 30  The absolute magnitude of a star is the intensity of light that would be observed from the star at a distance of 10 parsecs from the star. This is measured in terms of a particular band of the light spectrum, indicated by the subscript letter, which in this case is V for the visual light spectrum. The scale is logarithmic and an MV that is 1 less than another comes from a star that is 10 times more luminous than the other. The stellar mass of a star is how many times the sun’s mass it has. The data is provided below. Use Excel to calculate the correlation coefficient rbetween the two data sets, rounding to two decimal places.
9. Question: An owner of a large car lot believes that fuel prices are going to rise significantly and wonders how this rise might affect demand for the high performance vehicles. Specifically, the owner is investigating a link between how fast a car can go from0 to 60 miles per hour (measured in seconds) and the car’s economy as measured in miles traveled per gallon used (mpg). If fast cars, which are normally high in demand, are associated with higher mpg then there will be much less demand if gas prices rise as predicted. The owner gathers data on 20  The data is provided below. Use Excel to calculate the correlation coefficient rbetween the two data sets. Round your answer to two decimal places.
10. Question: A researcher is interested in whether the variation in the size of human beings is proportional throughout each part of the human. To partly answer this question they looked at the correlation between the foot length (in millimeters) and height (in centimeters) of30 randomly selected adult males. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
    

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1. Question: An economist is studying the link between the total value of a country’s exports and that country’s gross domestic product, or GDP. The economist recorded the GDP and Export value (in millions of $’s) for 30 nations for the same fiscal year. This sample data is provided below. 
2. Question: An economist is trying to understand whether there is a strong link between CEO pay ratio and corporate revenue. The economist gathered data including the CEO pay ratio and corporate revenue for 30 companies for a particular year. The pay ratio data is reported by the companies and represents the ratio of CEO compensation to the median employee salary. The data are … Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
3. Question: The table below shows data on annual expenditure, x (in dollars), on recreation and annual income, y (in dollars), of 20 Use Excel to find the best fit linear regression equation. Round the slope and intercept to the nearest integer.
4. Question: The table below gives the average weight (in kilograms) of certain people ages 1–20. Use Excel to find the best fit linear regression equation, where age is the explanatory variable. Round the slope and intercept to two decimal places.
5. Question: In the following table, the age (in years) of the respondents is … as the x value, and the earnings (in thousands of dollars) of the respondents are … as the y Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
6. Question: The heights (in inches) and weights (in pounds) of 25 baseball players are … Use Excel to … the best fit linear regression equation, where height is the explanatory variable. Round the slope and intercept to two decimal places
7. Question: A market researcher looked at the quarterly sales revenue for a large e-commerce store and for a large brick-and-mortar retailer over the same period. The researcher recorded the revenue in millions of dollars for 30 The data are provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
8. Question: An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the absolute magnitude or MVand stellar mass or M⊙ for 30 The absolute magnitude of a star is the intensity of light that would be observed from the star at a distance of 10 parsecs from the star. This is measured in terms of a particular band of the light spectrum, indicated by the subscript letter, which in this case is V for the visual light spectrum. The scale is logarithmic and an MV that is 1 less than another comes from a star that is 10 times more luminous than the other. The stellar mass of a star is how many times the sun’s mass it has. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.
   

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Calculate the Correlation Coefficient Using Technology Excel

1. Question: A political scientist wants to establish a link between the approval rating for a certain state governor’s office and the state’s unemployment rate. Below is data listing both the approval rating and the unemployment rate over 30 years. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
2. Question: In the … table, the age (in years) of the respondents is … as the x value, and the earnings (in thousands of dollars) of the respondents are … as the y value. Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
3. Question: A market researcher looked at the quarterly sales revenue for a large e-commerce store and for a large brick-and-mortar retailer over the same period. The researcher recorded the revenue in millions of dollars for 30 quarters. The data are provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
4. Question: The table below shows primary school enrollment for a certain country. Here, x represents the number of years after 1820, and y represents the enrollment percentage. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.
5. Question: The table below contains the geographic latitudes, x, and average January temperatures, y, of 20 cities. Use Excel to find the best fit linear regression equation. Round the slope and intercept to two decimal places.
6. Question: A government lobby that supports government regulation of the snack industry is looking into snack foods. Looking at a sample of 20 unhealthy snacks (e.g., sweets) they recorded the typical portion size in ounces and the calories per ounce of each snack. This data has been … Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
7. Question: An economist is studying the link between the total value of a country’s exports and that country’s gross domestic product, or GDP. The economist recorded the GDP and Export value (in millions of $’s) for 30 nations for the same fiscal year. This sample data is provided below. Answer Explanation
   

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MATH 225N Week 8 Assignment: Performing Linear Regressions with Technology Excel

1. Question: An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the absolute magnitude or MV and stellar mass or M for 30 The absolute magnitude of a star is the intensity of light that would be observed from the star at a distance of 10 parsecs from the star. This is measured in terms of a particular band of the light spectrum, indicated by the subscript letter, which in this case is V for the visual light spectrum. The scale is logarithmic and an MV that is 1 less than another comes from a star that is 10 times more luminous than the other. The stellar mass of a star is how many times the sun’s mass it has. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.
2. Question: A researcher is interested in whether the variation in the size of human beings is proportional throughout each part of the human. To partly answer this question they looked at the correlation between the foot length (in millimeters) and height (in centimeters) of 30randomly selected adult males. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets. Round your answer to two decimal places.
3. Question: In the following table, the age (in years) of the respondents is given as the xvalue, and the earnings (in thousands of dollars) of the respondents are given as the y Use Excel to find the best fit linear regression equation in thousands of dollars. Round the slope and intercept to three decimal places.
4. Question: The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2. Assume the line of best fit is significant and there is a strong linear relationship between the variables. Studying (Minutes) 507090110 Reading (Minutes) 44485054
5. Question: The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2. Studying (Minutes) 507090110 Reading (Minutes) 44485054
6. Question: Erin is studying the relationship between the average number of minutes spent reading per day and math test scores and has collected the data … in the table. The line of best fit for the data is yˆ=0.8x+51.2. According to the line of best fit, what would be the predicted test score for someone who spent 70minutes reading? Is it reasonable to use this line of best fit to make this prediction? Minutes 3035404550 Test Score 7578858890
7. Question: Data is collected on the relationship between the average number of minutes spent exercising per day and math test scores. The data is … in the table and the line of best fit for the data is yˆ=0.42x+64.6. Minutes 25303540 Test Score 75778081
8. Question: Data is collected on the relationship between the average daily temperature and time spent watching television. The data is … in the table and the line of best fit for the data is y^=−0.81x+96.7. Temperature (Degrees) 30405060 Minutes Watching Television 73635748
9. Question: Homer is studying the relationship between the average daily temperature and time spent watching television and has collected the data … in the table. The line of best fit for the data is yˆ=−0.6x+94.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables. Temperature (Degrees) 40506070 Minutes Watching Television 70655952
10. Question: Homer is studying the relationship between the average daily temperature and time spent watching television and has collected the data … in the table. The line of best fit for the data is yˆ=−0.6x+94.5.  Temperature (Degrees) 40506070 Minutes Watching Television 70655952
11. Question: Daniel owns a business consulting service. For each consultation, he charges $95plus $70 per hour of work. A linear equation that expresses the total amount of money Daniel earns per consultation is y=70x+95. What are the independent and dependent variables? What is the y-intercept and the slope?
12. Question: Given the following line, find the value of ywhen x=2.   y=−4x−12
13. Question: Evaluate the linear equation, y=4x−7, at the value x=2.
14. Question: Evan owns a house cleaning service. For each house visit, he charges $55plus $30 per hour of work. A linear equation that expresses the total amount of money Evan earns per visit is y=55+30x. What are the independent and dependent variables? What is the y-intercept and the slope?
15. Question: Using a calculator or statistical software, find the linear regression line for the data in the table below. Enter your answer in the form y=mx+b, with mand b both rounded to two decimal places.
16. Question: Using a calculator or statistical software, find the linear regression line for the data in the table below. Enter your answer in the form y=mx+b, with mand b both rounded to two decimal places.
17. Question: A least squares regression line (best-fit line) has the equation, yˆ=2.87x−43.5. What is the slope of this linear regression equation?
18. Question: Researchers want to find the relationship between age and average weight in female children. Using a calculator or statistical software, find the linear regression line for the 2012 CDC data below for average weights of female children by age.
19. Question: Given that n=31data points are collected when studying the relationship between average daily temperature and time spent sleeping, use the critical values table below to determine if a calculated value of r=−0.324 is significant or not.
20. Question: In studying the relationship between age and eating fast food, suppose you computed r=0.133using n=19 data points. Using the critical values table below, determine if the value of r is significant or not.
21. Question Data is collected on the relationship between the time spent doing homework per day and the time spent taking notes per day. The data is … in the table and the line of best fit for the data is yˆ=0.175x+31.0. Assume the line of best fit is significant and there is a strong linear relationship between the variables.
22. Question: Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data … in the table. The line of best fit for the data is yˆ=−0.79x+98.8. Assume the line of best fit is significant and there is a strong linear relationship between the variables. Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852
23. Question: Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data … in the table. The line of best fit for the data is yˆ=−0.79x+98.8…..Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852
24. Question: The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is yˆ=−0.24x+71.7. Assume the line of best fit is significant and there is a strong linear relationship between the variables. Video Games (Minutes) 45607590 Time with Family (Minutes) 61575450
25. Question: The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is yˆ=−0.24x+71.7. …. Video Games (Minutes) 45607590 Time with Family (Minutes) 61575450
26. 26.  Question: A scientific study on calorie intake gives the following data table. Using technology, it was determined that the total sum of squares (SST) was 76, the sum of squares regression (SSR)was 54.850, and the sum of squares due to error (SSE) was 21.150. Calculate R2 and determine its meaning. Round your answer to four decimal places?
27. Question: A non-profit finds that donations decrease when the economy measured by GDP decreases.  Identify the relation between donations and GDP.
28. Question: Which of the following data sets or plots could have a regression line with a negative slope.
29. Question: What percent of aluminum in the soil must there be for the daffodils to grow only by 5centimeters? 
30. Question: A gym teacher finds that the distance students run in miles per week in gym class, D, is dependent on the time students warm-up beforehand in minutes per week, x, and can be modeled by the function
31. Question: A random sample of 11 university students produced the following data where x is the minutes spent studying per day, and y is the first exam score (out a maximum of 100 points). What is the value of the intercept of the regression line, b rounded to one decimal place.
32. Question: Which of the following data sets or plots could have a regression line with a negative y-intercept?
    

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MATH 225N Week 8 Assignment: Performing Linear Regressions with Technology Excel

1. Question: An amateur astronomer is researching statistical properties of known stars using a variety of databases. They collect the absolute magnitude or MV and stellar mass or M⊙ for 30 stars. The absolute magnitude of a star is the intensity of light that would … observed from the star at a distance of 10 parsecs from the star. This is measured in terms of a particular band of the light spectrum, indicated by the subscript letter, which in this case is V for the visual light spectrum. The scale is logarithmic and an MV that is 1 less than another comes from a star that is 10 times more luminous than the other. The stellar mass of a star is how many times the sun’s mass it has. The data is provided below. Use Excel to calculate the correlation coefficient r between the two data sets, rounding to two decimal places.
2. Question: The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2. Assume the line of best fit is significant and there is a strong linear relationship between the variabl……Studying (Minutes) 507090110 Reading (Minutes) 44485054…… (a) According to the line of best fit, what would … the predicted number of minutes spent reading for someone who spent 67 minutes studying? Round your answer to two decimal places.   
3. Question: The table shows data collected on the relationship between the time spent studying per day and the time spent reading per day. The line of best fit for the data is yˆ=0.16x+36.2…… Studying (Minutes) 507090110 Reading (Minutes) 44485054…… (a) According to the line of best fit, the predicted number of minutes spent reading for someone who spent 67minutes studying is 46.92…… (b) Is it reasonable to use this line of best fit to make the above prediction?
4. Question: Data is collected on the relationship between the average daily temperature and time spent watching television. The data is … in the table and the line of best fit for the data is y^=−0.81x+96.7. Assume the line of best fit is significant and there is a strong linear relationship between the variables……. Temperature (Degrees) 30405060 Minutes Watching Television 73635748……. (a) According to the line of best fit, what would be the predicted number of minutes spent watching television for an average daily temperature of 45 degrees? Round your answer to two decimal places.
5. Question: Data is collected on the relationship between the average daily temperature and time spent watching television. The data is … in the table and the line of best fit for the data is y^=−0.81x+96.7…… Temperature (Degrees) 30405060 Minutes Watching Television 73635748……. (a) According to the line of best fit, the predicted number of minutes spent watching television for an average daily temperature of 45 degrees is 25…….  (b) Is it reasonable to use this line of best fit to make the above prediction?
6. Question: Homer is studying the relationship between the average daily temperature and time spent watching television and has collected the data … in the table. The line of best fit for the data is yˆ=−0.6x+94.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables……. Temperature (Degrees) 40506070 Minutes Watching Television 70655952….. According to the line of best fit, what would … the predicted number of minutes spent watching television for an average daily temperature of 39 degrees? Round your answer to two decimal places, as needed.
7. Question: Homer is studying the relationship between the average daily temperature and time spent watching television and has collected the data … in the table. The line of best fit for the data is yˆ=−0.6x+94.5……. Temperature (Degrees) 40506070 Minutes Watching Television 70655952……. (a) According to the line of best fit, the predicted number of minutes spent watching television for an average daily temperature of  39 degrees is 1. …….  (b) Is it reasonable to use this line of best fit to make the above prediction?
8. Question: Daniel owns a business consulting service. For each consultation, he charges $95plus $70 per hour of work. A linear equation that expresses the total amount of money Daniel earns per consultation is y=70x+95. What are the independent and dependent variables? What is the y-intercept and the slope?
9. Question: Given the following line, find the value of y when x=2. ……. y=−4x−12
10. Question: Evaluate the linear equation, y=4x−7, at the value x=2.
11. Question: Evan owns a house cleaning service. For each house visit, he charges $55plus $30 per hour of work. A linear equation that expresses the total amount of money Evan earns per visit is y=55+30x…….. What are the independent and dependent variables? What is the y-intercept and the slope?
12. Question: Using a calculator or statistical software, find the linear regression line for the data in the table below.……. Enter your answer in the form y=mx+b, with mand bboth rounded to two decimal places.
13. Question: Using a calculator or statistical software, find the linear regression line for the data in the table below.……. Enter your answer in the form y=mx+b, with mand bboth rounded to two decimal places.
14. Question: A least squares regression line (best-fit line) has the equation, yˆ=2.87x−43.5. What is the slope of this linear regression equation?
15. Question: Researchers want to find the relationship between age and average weight in female children. Using a calculator or statistical software, find the linear regression line for the 2012 CDC data below for average weights of female children by age.
16. Question: Given that n=31data points are collected when studying the relationship between average daily temperature and time spent sleeping, use the critical values table below to determine if a calculated value of r=−0.324is significant or not.
17. Question: In studying the relationship between age and eating fast food, suppose you computed r=0.133using n=19data points. Using the critical values table below, determine if the value of r is significant or not.
18. Question: Data is collected on the relationship between the time spent doing homework per day and the time spent taking notes per day. The data is …in the table and the line of best fit for the data is yˆ=0.175x+31.0. Assume the line of best fit is significant and there is a strong linear relationship between the variables…….. (a) According to the line of best fit, what would … the predicted number of minutes spent taking notes for someone who spent 137minutes doing homework? Round your answer to two decimal places, as needed.
19. Question: Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has … the data … in the table. The line of best fit for the data is yˆ=−0.79x+98.8. Assume the line of best fit is significant and there is a strong linear relationship between the variables….. Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852……. (a) According to the line of best fit, what would be the predicted number of minutes spent reading for a person who works 27hours (per week)? Round your answer to two decimal places, as needed.
20. Question: Michelle is studying the relationship between the hours worked (per week) and time spent reading (per day) and has collected the data … in the table. The line of best fit for the data is yˆ=−0.79x+98.8……. Hours Worked (per week) 30405060 Minutes Reading (per day) 75685852……. (a) According to the line of best fit, the predicted number of minutes spent reading for a person who works 27hours (per week) is 77.47……..  (b) Is it reasonable to use this line of best fit to make the above prediction?
21. Question: The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is yˆ=−0.24x+71.7. Assume the line of best fit is significant and there is a strong linear relationship between the variables…… Video Games (Minutes) 45607590 Time with Family (Minutes) 61575450……. (a) According to the line of best fit, what would … number of minutes spent with family for someone who spent 87minutes playing video games? Round your answer to two decimal places.
22. Question: The table shows data collected on the relationship between time spent playing video games and time spent with family. The line of best fit for the data is yˆ=−0.24x+71.7……. Video Games (Minutes) 45607590 Time with Family (Minutes) 61575450…… (a) According to the line of best fit, the predicted number of minutes spent with family for someone who spent 87 minutes playing video games is 50.82……..  (b) Is it reasonable to use this line of best fit to make the above prediction?
23. Question: A scientific study on calorie intake gives the following data table…….. Using technology, it was … that the total sum of squares (SST)was 76, the sum of squares regression (SSR)was 54.850, and the sum of squares due to error (SSE)was 21.150. Calculate R2 and determine its meaning. Round your answer to four decimal places?
24. Question: A non-profit finds that donations decrease when the economy measured by GDP decreases……..  Identify the relation between donations and GDP.
25. Question: Which of the following data sets or plots could have a regression line with a negative slope.
26. Question: A gym teacher finds that the distance students run in miles per week in gym class, D, is dependent on the time students warm-up beforehand in minutes per week, x, and can … modeled by the function……. D(x)=2+0.5x…….. Draw the graph of the distance function by plotting its D-intercept and another point.
27. Question: Which of the following data sets or plots could have a regression line with a negative y-intercept?