The picture displays the fitted 3-predictor multiple regression model

Subject: Mathematics / Statistics
Question
1. The picture displays the fitted 3-predictor multiple regression model that was chosen using all three stepwise approaches. It is unnecessary to add interaction variables into the model displayed in the picture because:

A: an influemce analysis indicated that there were no observations that undult influenced the fitted model.

B: the dummy variable type food Asian significant contributed to it

C: the dummy variable type food Asian did not significantly contribute to it

2. In the model displayed in the picture, there is no concern about colinearity because:

A: each pvalue is 0.000

B: each vif is less the 5

C: the sample size for the model exceeds 30

3. In the model displayed in the picture, the yintercept is:

A: a meaningful, relevant value because the dependant response variable is in $

B: not a meaningful value in the model and just the base or starting because the dependant or response variable is natural logs

C: not a meaningful value in the model and just the base or starting because the rating scales begin at 1 so 0 values for any of the predictors are outside the respective relevant ranges

4. In the model displayed in the picture, interpret the meaning of the slope for the variable: food rating. Two sentences short answer:

5. In the model displayed in the picture, the _________ represents the proportion of the variation in the natural log cost per meal based on the model built, taking into account the number of predictors and the sample size.

A: coefficient of determination

B: adjusted coefficient of determination

C: standard error estimate

6. In the model displayed in the picture, the standard error of the estimate, given by 0.0897631 indicates:

A: The average scatter around the fitted regression line is approximately 9 cents

B: the average scatter around the fitted regression surface, measured in natural logs, is nearly 0.0898

C: The spread is quite large

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