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In: Statistics and Probability

The following output was obtained from a regression analysis of the dependent variable Rating and an...

  1. The following output was obtained from a regression analysis of the dependent variable Rating and an independent variable Price. (10 points)

ANOVA

df

SS

MS

F

Regression

1

372.707

372.707

42.927

Residual

15

130.234

8.682

Total

16

502.941

Coefficients

Standard Error

t Stat

P-value

Intercept

45.623

3.630

12.569

0.000

Price

0.107

0.016

6.552

0.000

  1. Use the critical value approach to perform an F test for the significance of the linear relationship between Rating and Price at the 0.05 level of significance.
  2. Calculate the coefficient of determination.
  3. What percentage of the variability of Rating can be explained by its linear relationship with Price? What is the sample correlation coefficient?
  4. What is the estimated regression equation?
  5. Use the p-value approach to perform a t test for the significance of the linear relationship between Price and Rating at the 0.05 level of significance.

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PART B The following output was obtained from a regression analysis of the dependent variable Rating and an independent variable Price. (10 points) ANOVA df                          SS                      MS               F Regression             1                      372.707              372.707      42.927 Residual                15                     130.234                8.682 Total                        16                     502.941 Coefficients       Standard Error          t Stat        P-value Intercept             45.623                   3.630                 12.569        0.000 Price                    0.107                    0.016                  6.552         0.000 Use the critical value approach to perform an F test for the significance of the linear relationship between Rating and Price at the 0.05...
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