Given the model y = beta_0 + beta_1X_1 + beta_2X_2 + beta_3X_3 + epsilon. We wis

Question

Given the model y = beta_0 + beta_1X_1 + beta_2X_2 + beta_3X_3 + epsilon. We wish to check if the normality assumption is satisfied. Look at the normal probability plot that is in your handout, what can we conclude from this? small circle normality is satisfied small circle normality is seriously violated small circle constant variance is violated small circle constant variance is satisfied Given the model y = beta_0 + beta_1X_1 + beta_2X_2 + beta_3X_1^2 + beta_4X_2^2 + epsilon. and n = 25, what is the null hypothesis for testing if the model is useful? small circleH_o: beta_3 = 0 small circle H_o: at least one beta not equal to zero small circle H_o: beta_3 = beta_4 = 0 small circle H_o: beta_1 = beta_2 = beta_3 = beta_4 = 0

Explanation / Answer

13. The graph is not displayed. But to check for equal variance assumption, see if there is any 'fan' shape or other tendency for the variation to grow or shrink in one part of the scatter plot. For normality plot, check if there are any outliers.

14. For the given multipl eregression model, the null hypothesis is D), that is model itself contributes nothing useful and all slope coefficients are zero.

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