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Question
Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel to develop a scatter diagram and to compute the least squares estimated regression equation and the coefficient of determination.| x | y |
| 2 | 12 |
| 3 | 9 |
| 6 | 8 |
| 7 | 7 |
| 8 | 6 |
| 7 | 5 |
| 9 | 2 |
Shown below is a portion of a computer output for a regression analysis relating y (dependent variable) and x (independent variable).
| ANOVA | |||
| df | SS | ||
| Regression | 1 | 50.58 | |
| Residual | 13 | 55.42 | |
| Total | 14 | 106.00 | |
| Coefficients | Standard Error | t Stat | |
| Intercept | 16.156 | 1.42 | |
| Variable x | -0.903 | 0.26 |
= 0.05.b. Compute the coefficient of determination and fully interpret the meaning. Be very specific.
Answer
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