Correlation and Regression Assignment A sample of 10 adult men gave the following data on their heights and weights. Height (inches) X 62 62 63 65 66 67 68 68 70 72 Weight (pounds) Y 120 140 130 150 142 130 135 175 149 168 Generate the scatter plot of this data and graph the regression line in your plot. Include a picture of this graph and explain your impression of how well the line fits the data. State the equation of the regression line. Find r (correlation coefficient). Interpret the value of r in the context of this problem.
A sample of 10 adult men gave the following data on their heights and weights.
|
Height (inches) |
X |
62 |
62 |
63 |
65 |
66 |
67 |
68 |
68 |
70 |
72 |
|
Weight (pounds) |
Y |
120 |
140 |
130 |
150 |
142 |
130 |
135 |
175 |
149 |
168 |
- Generate the
scatter plot of this data and graph the regression line in your plot. Include a picture of this graph and explain your impression of how well the line fits the data. - State the equation of the regression line.
- Find r (
correlation coefficient ). Interpret the value of r in the context of
this problem.
- Find the coefficient of determination, r2. Explain what it means in the context of this problem.
- Provide examples of other lurking variables that may have an effect on weight besides height.
- Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test.
- Predict the weight of a man whose height is 60 inches.
(h) Find a 90% confidence interval for men of height 60 inches (use your answer from part g). Include your interpretation of the confidence interval. Show your formula for E with all important values included.
(i) Predict the height of a man whose weight is 160 pounds.
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A sample of 10 adult men gave the following data on their heights and weights.
|
Height (inches) |
X |
62 |
62 |
63 |
65 |
66 |
67 |
68 |
68 |
70 |
72 |
|
Weight (pounds) |
Y |
120 |
140 |
130 |
150 |
142 |
130 |
135 |
175 |
149 |
168 |
- Find the coefficient of determination, r2. Explain what it means in the context of this problem.
- Provide examples of other lurking variables that may have an effect on weight besides height.
- Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test.
- Predict the weight of a man whose height is 60 inches.
(h) Find a 90% confidence interval for men of height 60 inches (use your answer from part g). Include your interpretation of the confidence interval. Show your formula for E with all important values included.
(i) Predict the height of a man whose weight is 160 pounds.
by Bartleby ExpertA sample of 10 adult men gave the following data on their heights and weights
| 62 | 62 | 63 | 65 | 66 | 67 | 68 | 8 | 70 | 72 |
| 120 | 140 | 130 | 150 | 142 | 130 | 135 | 175 | 149 | 168 |
(d) Find the coefficient of determination, r2. Explain what it means in the context of this problem.
(e) Provide examples of other lurking variables that may have an effect on weight besides height.
(f) Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test.
(g) Predict the weight of a man whose height is 60 inches.
(h) Find a 90% confidence interval for men of height 60 inches (use your answer from part g). Include your interpretation of the confidence interval. Show your formula for E with all important values included.
(i) Predict the height of a man whose weight is 160 pounds.
by Bartleby Expert- Find the coefficient of determination, r2. Explain what it means in the context of this problem.
- Provide examples of other lurking variables that may have an effect on weight besides height.
- Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test.
- Predict the weight of a man whose height is 60 inches.
- Find a 90% confidence interval for men of height 60 inches (use your answer from part g). Include your interpretation of the confidence interval. Show your formula for E with all important values included.
- Predict the height of a man whose weight is 160 pounds.
by Bartleby ExpertA sample of 10 adult men gave the following data on their heights and weights.
|
Height (inches) |
X |
62 |
62 |
63 |
65 |
66 |
67 |
68 |
68 |
70 |
72 |
|
Weight (pounds) |
Y |
120 |
140 |
130 |
150 |
142 |
130 |
135 |
175 |
149 |
168 |
- Generate the
scatter plot of this data and graph the regression line in your plot. Include a picture of this graph and explain your impression of how well the line fits the data. - State the equation of the regression line.
- Find r (
correlation coefficient ). Interpret the value of r in the context of
this problem.
- Find the coefficient of determination, r2. Explain what it means in the context of this problem.
- Provide examples of other lurking variables that may have an effect on weight besides height.
- Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test.
- Predict the weight of a man whose height is 60 inches.
(h) Find a 90% confidence interval for men of height 60 inches (use your answer from part g). Include your interpretation of the confidence interval. Show your formula for E with all important values included.
(i) Predict the height of a man whose weight is 160 pounds
by Bartleby Expert
