| The following data were collected during a study of consumer buying patterns: |
| Observation | x | y | Observation | x | y |
| 1 | 11 | 77 | 8 | 23 | 78 |
| 2 | 30 | 77 | 9 | 10 | 69 |
| 3 | 44 | 82 | 10 | 19 | 70 |
| 4 | 34 | 84 | 11 | 23 | 87 |
| 5 | 47 | 92 | 12 | 19 | 90 |
| 6 | 42 | 93 | 13 | 32 | 91 |
| 7 | 32 | 79 | |||
| a. |
Obtain a linear regression line for the data.(Round your intermediate calculations and final answers to 3 decimal places.) |
| y = + x |
| b. |
What percentage of the variation is explained by the regression line? (Do not round intermediate calculations. Round your answer to the nearest whole percent. Omit the “%” sign in your response.) |
| c. | Approximately % of the variation in the dependent variable is explained by the independent variable. |
| d. |
Use the equation determined in part b to predict the expected value of y for x = 43. (Round your intermediate calculations and final answers to 3 decimal places.) |
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