1.Wine Spectator magazine contains articles and reviews on every aspect of the wine industry, including ratings of wine from around the world. In a recent issue they reviewed and scored 475 wines from the Piedmont region of Italy using a 100-point scale (Wine Spectator, April 30, 2011). The data shows how the Wine Spectator score each wine received is used to rate each wine as being classic, outstanding, very good, mediocre, or not recommended.

A key question for most consumers is whether paying more for a bottle of wine will result in a better wine. To investigate this question for wines from the Piedmont region we selected a random sample of 100 of the 475 wines that Wine Spectator reviewed. The data, contained in the file names WineRatings shows the price ($), the Wine Spectator score, and the rating for each wine.

a.Develop a scatter diagram for the data treating Price ($) as the independent variable and Wine Spectator score as the dependent variable. Does a simple linear regression model appear to be appropriate?

b.Use a simple linear regression model to develop an estimated regression equation to predict the Wine Spectator score on price. Construct a standardized residual plot. Based upon the standardized residual plot, does a simple linear regression model appear to be appropriate?

c.Using a second-order model, develop an estimated regression equation to predict the Wine Spectator score on price.

d.Do you prefer the estimated regression equation developed in part (b) or part (c)? Explain which one is a better fit to the regression assumptions.

(If you have minitab please use if not will study material either way)

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