MATH 221 Week 7 Homework Results (Fall 2018)

MATH 221 Week 7 Homework (Attempt 3)

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 µ represent?
3. Question: A golfer wants to determine if the type of driver she uses each year can … improvement in her game. Which variable would … the explanatory 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 independent variable that corresponds to the value of y_iwould … given the notation of:
6. Question: What would … the notation for the mean of the x values?
7. Question: Which of the following graphs displays the regression equation of
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 used to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to … the value of y when x=81.
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=110.
11. Question: Find the regression equation for the following data set
    x           7           8           5           9           4           3           9           6           7           8
    y           4           2           8           3           7           9           3           5           6           9
12. Question: A data set whose original x values ranged from 137 … 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 0.681, what is the value of the coefficient of determination?
14. Question: If the linear correlation coefficient is -0.471, 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 … ?
16. Question: If the coefficient of determination is 0.822, what percentage of the data about the regression line is … ?
17. Question: A regression equation can have more than one ____________ .
18. Question: The equation used 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 45.2 inches tall and whose father is 41.6 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 85 miles away and weighs 6.7 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 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 (Attempt 4)

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 … used to predict the amount of improvement in his game. Which variable would be the response variable?
4. Question: Two variables have a negative linear correlation. Where would the y-intercept of the regression line be located on the y-axis?
5. Question: A value of the y-intercept of the regression line would be given the notation of:
6. Question: What would be the notation for the mean of the y values?
7. Question: … displays the regression equation of =-0.30x + 6.25
8. Question: Find the regression equation for the following data set
   x            123         146        127        161        122        174        134       155
   y              80           51          59          41          44          59          51         63
9. 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=56.
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=110.
11. Question: Find the regression equation for the following data set
    x       7           8           5           9           4         10          9           6           7           8
    y       4           2           8           3           7           9          3           5           6           3
12. Question: A data set whose original x values ranged from 137 through 150 … 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: … -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 … ?
16. Question: … 0.394, what percentage of the data about the regression line is … ?
17. Question: If the independent variables explained more than 50% of the variation in the dependent variables. Which of the following would be true?
18. Question: The equation used to predict how tall a dog will be 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 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 85 miles away and weighs 6.7 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 100.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.