Part of the ANOVA summary table for using alcohol % ( X1) and chlorides ( X2) to predict wine quality is shown to the right. The results also state that SSR(X1) = 21.7554 and SSR(X2) = 10.4228. Complete parts (a) and (b) below.

Source	Degrees of Freedom			Sum of Squares
Regression		2			28.2573
Error		47			37.8955
Total		49			66.1528

a. At the 0.05 level of significance, determine whether each independent variable makes a significant contribution to the regression model. On the basis of these results, indicate the most appropriate regression model for this set of data. Write the hypotheses for the contribution of the variable alcohol %.

H0: The variable __(Chloride, alcohol % or wine quality)__ does not significantly improve the model after the variable __(Chloride, alcohol %, wine quality)__ has been included.

H1: The variable __(Chloride, alcohol %, wine quality)__ significantly improves the model after the variable __(Chloride, alcohol %, wine quality)__ has been included.

Calculate the test statistic. FSTAT =__

(Round to two decimal places as needed.)

Determine the p-value.

p-value =__

(Round to three decimal places as needed.)

State the conclusion for the variable alcohol %.

__(Rejects or do not reject) H0. The variable __(Chloride, alcohol %, wine quality)__ (makes or dont make) a significant contribution to the regression model that already contains the variable __(Chloride, alcohol %, wine quality)__ because the p-value is __(Less than,greater than, or equal to) the level of significance 0.05.

Write the hypotheses for the contribution of the variable chlorides.

H0: The variable __(Chloride, alcohol %, wine quality)__ does not significantly improve the model after the variable __(Chloride, alcohol %, wine quality)__ has been included.

H1: The variable __(Chloride, alcohol %, wine quality)__ significantly improves the model after the variable __(Chloride, alcohol %, wine quality)__ has been included.

Calculate the test statistic.

FSTAT = __

(Round to two decimal places as needed.)

Determine the p-value.

p-value = __

(Round to three decimal places as needed.)

State the conclusion for the variable chlorides.

H0. The variable __(Chloride, alcohol %, wine quality)__ (makes or dont make) a significant contribution to the regression model that already contains the variable __(Chloride, alcohol %, wine quality)__ because the p-value is __(less than, greater than, equals to)__ the level of significance 0.05.

Which variables should be included in the model?

A.The model should include both the variable alcohol % and the variable chlorides.

B.The model should include the variable chlorides but not the variable alcohol %.

C.The model should include the variable alcohol % but not the variable chlorides.

b. Compute the coefficients of partial determination, r2Y1.2 and r2Y2.1, and interpret their meaning.

The variable __(Chloride, alcohol %, wine quality)__ explains approximately r2Y1.2 = __ of the variation in the variable when the variable __(Chloride, alcohol %, wine quality)__ is held constant.

(Round to two decimal places as needed.)

The variable __(Chloride, alcohol %, wine quality)__ explains approximately r2Y2.1 =__% of the variation in the variable __(Chloride, alcohol %, wine quality)__when the variable __(Chloride, alcohol %, wine quality)__ is held constant.

(Round to two decimal places as needed.)