MATH 221 Week 7 Homework: Statistics for Decision-Making (Collection)

 (MATH 221 Week 7 Homework)

MATH 221 Week 7 Homework: Statistics for Decision-Making (May 2021)

1. Question: Two variables have a negative non-linear correlation. Does the dependent variable increase or decrease as the independent variable increases?
2. Question: What does the variable r2 represent?
3. Question: A golfer wants to determine if the type of driver she uses each year can … to predict the amount of improvement in her game. Which variable would … the response variable?
4. Question: What would … the notation for an estimate of y for a specific value of x?
5. Question: Which of the following graphs displays the regression equation of ŷ=-0.30x + 6.25
6. Question: Find the regression equation for the following data set
7. Question: A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to predict the value of y when x=70.
8. Question: A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=119.
9. Question: A data set whose original x values ranged from 137 through 150 was used to generate a regression equation of ŷ=-4.5x +
10. Use the regression equation to predict the value of y when x=139.
11. Question: If the linear correlation coefficient is -0.654, what is the value of the coefficient of determination?
12. Question: If the coefficient of determination is 0.184, what percentage of the variation in the data about the regression line is … ?
13. Question: If the coefficient of determination is 0.738, what percentage of the variation in the data about the regression line is … ?
14. Question: If the independent variables explained less than 50% of the variation in the dependent variables, which of the following would … true? The equation used to predict how tall a dog will … as an adult is ŷ=4.5 + 0.7×1 + 0.55×2, where x1 is the height of the mother and x2 is the height of the Use this equation to predict the height of a puppy whose mother is 41.3 inches tall and whose father is 44.9 inches tall.
15. Question: The equation … to predict how long a cold will last is ŷ=-1.8 + 0.09×1 + 3.2×2 – 1.9×3, where x1 is person’s temperature on the first day, x2 is number of people seen each day, and x3 is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 101.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.

MATH 221 Week 7 Homework: Statistics for Decision-Making (v1)

1. Question: Two variables have a positive linear correlation. Does the dependent variable increase or decrease as the independent variable increases?
2. Question: What does the variable ρ represent?
3. Question: A golfer wants to determine if the type of driver she … the amount of improvement in her game. Which variable would … the response variable?
4. Question: Two variables have a negative linear correlation. Where would the y-intercept of the regression line … located on the y-axis?
5. Question: A value of the dependent variable that corresponds to the value of x would … given the notation of:
6. Question: What would … the notation for an estimate of y for a specific value of x?
7. Question: Which of the following graphs displays the regression equation ŷ=-0.91x + 11.97
8. Question: Find the regression equation for the following data set
9. Question: A data set whose original x values ranged from 41 through 78 was … to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to predict the value of y when x=70.
10. Question: A data set whose original x values ranged from 120 through 351 was … to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=110.
11. Question: Find the regression equation for the following data set
12. Question: A data set whose original x values ranged from 137 through 150 was … to generate a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=150.
13. Question: If the linear correlation coefficient is 0.681, what is the value of the coefficient of determination?
14. Question: If the linear correlation coefficient is -0.368, what is the value of the coefficient of determination?
15. Question: If the coefficient of determination is 0.184, what percentage of the data about the regression line is … ?
16. Question: If the coefficient of determination is 0.298, what percentage of the data about the regression line is … ?
17. Question: If the independent variables explained less than 50% of the variation in the dependent variables, which of the following would … true?
18. Question: The equation … how tall a dog will … as an adult is ŷ=4.5 + 0.7x + 0.55x, where x is the height of the mother and x is the height of the father. Use this equation to predict the height of a puppy whose mother is 41.3 inches tall and whose father is 44.9 inches tall.
19. Question: The equation … how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x₁ + 0.85x₂ days, where x₁ is the distance to travel and x₂ is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 249 miles away and weighs 2.1 pounds.
20. Question: The equation … how long a cold will last is ŷ=-1.8 + 0.09x₁ + 3.2x₂ – 1.9x₃, where x₁ is person’s temperature on the first day, x₂ is number of people seen each day, and x₃ is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 6 people seen each day, and 4 hours of sleep.
    

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MATH-221 Week 7 Homework: Statistics for Decision-Making (v2)

1. Question: Two variables have a negative linear correlation. Does the dependent variable increase or decrease as the independent variable increases?
2. Question: What does the variable µ represent?
3. Question: A golfer wants to determine if the type of driver she … the amount of improvement in her game. Which variable would … the response variable?
4. Question: Two variables have a positive linear correlation. Is the slope of the regression line between these two variables positive or negative?
5. Question: A value of the slope of the regression line would … given the notation of:
6. Question: If there is a ˆ, or hat, above a variable, what does that mean?
7. Question: Which of the following graphs displays the regression line of ŷ=0.75x + 3.34?
8. Question: Find the regression equation for the following data set
9. Question: A data set whose original x values ranged from 41 through 78 was … to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to predict the value of y when x=45.
10. Question: A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=115.
11. Question: Find the regression equation for the following data set
12. Question: A data set whose original x values ranged from 137 through 150 was used to generate a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=145.
13. Question: If the linear correlation coefficient is 0.681, what is the value of the coefficient of determination?
14. Question: If the linear correlation coefficient is -0.654, what is the value of the coefficient of determination?
15. Question: If the coefficient of determination is 0.184, what percentage of the data about the regression line is explained?
16. Question: If the coefficient of determination is 0.298, what percentage of the data about the regression line is unexplained?
17. Question: If the independent variables explained less than 50% of the variation in the dependent variables, which of the following would … true?
18. Question: The equation used to predict how tall a dog will … as an adult is ŷ=4.5 + 0.7x + 0.55x, where x is the height of the mother and x is the height of the father. Use this equation to predict the height of a puppy whose mother is 41.3 inches tall and whose father is 44.9 inches tall.
19. Question: The equation used to predict how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x₁ + 0.85x₂ days, where x₁ is the distance to travel and x₂ is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 249 miles away and weighs 2.1 pounds.
20. Question: The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09x₁ + 3.2x₂ – 1.9x₃, where x₁ is person’s temperature on the first day, x₂ is number of people … each day, and x₃ is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.8 degrees, an average of 3 people seen each day, and 6 hours of sleep.
    

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MATH 221 Week 7 Homework: Statistics for Decision-Making (v3)

1. Question: Two variables have a negative linear correlation. Does the dependent variable increase or decrease as the independent variable increases?
2. Question: What does the variable r² represent?
3. Question: A baseball player wants to determine if the type of bat he uses each year can … the amount of improvement in his game. Which variable would … the response variable?
4. Question: Two variables have a negative linear correlation. Is the slope of the regression line between these two variables positive or negative?
5. Question: A value of the y-intercept of the regression line would … given the notation of:
6. Question: What would … the notation for the mean of the y values?
7. Question: Which of the following graphs displays the regression equation ŷ=-0.91x + 11.97?
8. Question: Find the regression equation for the following data set
9. Question: A data set whose original x values ranged from 41 through 78 was … to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to predict the value of y when x=56.
10. Question: A data set whose original x values ranged from 120 through 351 was … to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=110.
11. Question: Find the regression equation for the following data set
12. Question: A data set whose original x values ranged from 137 through 150 was … to generate a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=141.
13. Question: If the linear correlation coefficient is 0.546, what is the value of the coefficient of determination?
14. Question: If the linear correlation coefficient is -0.156, what is the value of the coefficient of determination?
15. Question: If the coefficient of determination is 0.492, what percentage of the data about the regression line is explained?
16. Question: If the coefficient of determination is 0.394, what percentage of the data about the regression line is unexplained?
17. Question: A regression equation can have more than one ____________ .
18. Question: The equation … how tall a dog will … as an adult is ŷ=4.5 + 0.7x₁ + 0.55x₂, where x₁ is the height of the mother and x₂ is the height of the father. Use this equation to predict the height of a puppy whose mother is 45.2 inches tall and whose father is 41.6 inches tall.
19. Question: The equation … how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x₁ + 0.85x₂ days, where x₁ is the distance to travel and x₂ is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 145 miles away and weighs 3.8 pounds.
20. Question: The equation … how long a cold will last is ŷ=-1.8 + 0.09x₁ + 3.2x₂ – 1.9x₃, where x₁ is person’s temperature on the first day, x₂ is number of people … each day, and x₃ is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 6 people seen each day, and 4 hours of sleep
    

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MATH-221 Week 7 Homework: Statistics for Decision-Making (Extra Version)

1. Question: Two variables have a negative linear correlation. Does the dependent variable increase or decrease as the independent variable increases?
2. Question: What does the variable r²represent?
3. Question: A baseball player wants to determine if the type of bat he uses each year can … to predict the amount of improvement in his game. Which variable would … the response variable?
4. Question: Two variables have a negative linear correlation. Where would the y-intercept of the regression line … located on the y-axis?
5. Question: A value of the y-intercept of the regression line would … given the notation of:
6. Question: What would … the notation for the mean of the y values?
7. Question: Which of the following graphs displays the regression equation of =-0.30x + 6.25
8. Question: Find the regression equation for the following data set
9. Question: A data set whose original x values ranged from 41 through 78 was … to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to predict the value of y when x=56.
10. Question: A data set whose original x values ranged from 120 through 351 was … to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=110.
11. Question: Find the regression equation for the following data set
12. Question: A data set whose original x values ranged from 137 through 150 was … to general a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=141.
13. Question: If the linear correlation coefficient is 0.482, what is the value of the coefficient of determination?
14. Question: If the linear correlation coefficient is -0.156, what is the value of the coefficient of determination?
15. Question: If the coefficient of determination is 0.497, what percentage of the data about the regression line is explained?
16. Question: If the coefficient of determination is 0.394, what percentage of the data about the regression line is unexplained?
17. Question: If the independent variables explained more than 50% of the variation in the dependent variables, which of the following would … true?
18. Question: The equation … to predict how tall a dog will … as an adult is ŷ=4.5 + 0.7x₁+ 0.55x₂, where x₁ is the height of the mother and x₂ is the height of the father. Use this equation to predict the height of a puppy whose mother is 40.3 inches tall and whose father is 45.9 inches tall.
19. Question: The equation … to predict how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x₁+ 0.85x₂
    days, where x₁ is the distance to travel and x₂ is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 85 miles away and weighs 6.7 pounds.
20. Question: The equation … to predict how long a cold will last is ŷ=-1.8 + 0.09x₁+ 3.2x₂ – 1.9x₃, where x₁
    is person’s temperature on the first day, x₂ is … each day, and x₃ is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.