The f statistic calculated from a multiple regression


Question #1: The F statistic calculated from a multiple regression analysis is equal to 6.89 and the p-value of the F statistic is 0.036.. If so, then options: I answered C. Is this correct?

a) all of the slope coefficients are significantly different from zero at the 95% confidence level.

b) The adjusted R2 value for this regression must be larger than its R2 value.

c) none of the slope coefficients is significantly different from zero at the 95% confidence level.

d) at least one of the slope coefficients is significantly different from zero at the 95% confidence level.

Question #2: Ordinary least squares is used to estimate a linear relationship between a firm's total revenue per week (in thousands of dollars) and the average percentage discount from list price allowed to customers by salespeople. The estimated slope coefficient on the average percentage discount independent variable is 1.31. The 95 percent confidence interval on the estimated slope coefficient is calculated from the regression output. The interval ranges from -0.89 to 1.78 Based on this result, the researcher

Options: I answered D. Is this correct?

a) can be 95 percent confident that the effect of a 1 percent increase in the average price discount will increase weekly total revenue by between $890 and $1,780.

b) can conclude that the slope is significantly different from zero at the 5 percent level of significance.

c) All of the possible answers are correct.

d) can NOT conclude that the slope is significantly different from zero at the 5 percent level of significance.

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Business Economics: The f statistic calculated from a multiple regression
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