You developed a multiple regression model to predict wine quality for red wines. Now, you wish to determine whether there is an effect on wine quality due to whether the wine is white (0) or red (1). These data are organized and stored in RedandWhite. Develop a multiple regression model to predict wine quality based on the percentage of alcohol and they type of wine.

a) State the multiple regression equation that predicts wine quality based on the percentage of alcohol and the type of wine.

b) Interpret the regression coefficients in (a).

c) Predict the mean quality for a red wine that has 10% alcohol. Construct a 95% confidence interval estimate and a 95% prediction interval.

d) Perform a residual analysis on the results and determine whether the regression assumptions are valid.

e) Is there significant relationship between wine quality and the two independent variables (percentage of alcohol and the type of wine) at the 0.05 level of significance?

f) At the 0.05 level of significance, determine whether each independent variable makes a contribution to the regression model. Indicate the most appropriate regression model for this set of data.