Suppose a computerized multiple regression output indicates an adjusted multiple

Question

Suppose a computerized multiple regression output indicates an adjusted multiple coefficient of determination r_a^2 = 0.8856, 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 statistically significant at alpha = 0.05 b. The independent variables are all statistically 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 2 Rule since r^2 = 0.8856

Explanation / Answer

Sol:

NO level of significance specified

so alpha=0.05

p value=0.049

p<0.06

model is statistically significant

Choice A true

Choice B is false because indpendent variable t and p values are not given to conclude whether signifcant or not.

Choice C is tue

because coefficient of determinatiion 0.8856=88.56% variation in y is explaoined by model

rest statements are false

Answers A,C are true

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