Suppose a computerized multiple regression output indicates a multiple coefficie

Question

Suppose a computerized multiple regression output indicates a multiple coefficient of determination R^2 = 0.8856 and a standard error of estimate s = 7.6 and the ANOVA test statistic F = 12.37 with associated p-value = 0.049. Which of the following are true? Circle all which are correct. a. The regression model is statistical significant at alpha = 0.05 b. The independent variables are all statistical significant at alpha = 0.05 c. The estimated multiple linear regression equation is a strong fit d. The typical error in estimation using y is 0.8856 e. The regression model is statistically significant at alpha = 0.01 f. The residuals satisfy the plusminus Rule since R^2 = 0.8856

Explanation / Answer

The p-value = 0.049. This shows model is significant at 0.05 but not at 0.01. The R^2 = 0.8856 shows that estimated regression equation is a strong fit. Therefore, the correct options are a, c.

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