Question 1. True (T) or False (F)? (a) The added variable plot can indicates whe

Question

Question 1. True (T) or False (F)? (a) The added variable plot can indicates whether or not any nonlinearity is present in the relationship between the response variable and the predictor variable. (b) The weighted least squares (WLS) obtain the parameter estimates by minimizing a weighted sum of squares of the response variable. (c) The logarithmic transformation is particularly useful when the variable has a large standard deviation compared to its mean. may cause instability in the estimated coefficients.

Explanation / Answer

(a)

False

The partial residual (components plus residual) plot picks up a certain form of nonlinearity between Y and X.
The added variable (partial regression) plot is used to identify influential cases in multiple linear regression.

(b)

False

The weighted least squares (WLS) obtain the parameter estimates by minimizing the weighted sum of squared residuals.

(c)

False

Log transformation works for data where the residuals are large.

(d)

True

Multicollinearity may bias the estimates of the independent variable. So, Multicollinearity may cause instability in the estimated coefficients.

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