QuestionQuestion

Say whether the following statements about residual analysis for simple linear regression are true or false and explain your answers.
(a) If the sample mean of the residuals is zero, then this supports the linearity condition for the model.
(b) An ideal residual plot for a valid model will display residuals with a strong positive or negative linear trend.
(c) An ideal residual plot for a valid model will display residuals with similar variation no matter the value on the horizontal axis.
(d) We should only assess the linearity and equal variance conditions after first confirming the normality condition using a normal probability plot.
(e) A residual plot that has a predictor variable excluded from the model on the horizontal axis provides no useful information about the adequacy of the model.
(f) We can accept the validity of our model if at least one of the four LINE conditions is supported.
(g) We should question the validity of our model only if all four LINE conditions seem in doubt.
(h) Residual analysis is entirely objective so that every assumption about the regression errors can be unambiguously determined.

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Say whether the following statements about residual analysis for simple linear regression are true or false and explain your answers.

(a) If the sample mean of the residuals is zero, then this supports the linearity condition for the model.
True because as per the assumption of residual is that residuals should be normally distributed with mean 0.

(b) An ideal residual plot for a valid model will display residuals with a strong positive or negative linear trend.
False, because for a valid model, residual plot should have no correlation....

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