acer 4- A bow soft drink is being market tested, A sample of 400 individuals participated in the test and 80 indicated they like the taste. At a $"4 significance level. test to determine if in look 236 of the population will like the new soft drink. [8 Marks] 4- A sample of 30 houses that were sold in the last year was taken. The value of the house () was estimated. The independent variables included in the analysis were the number of rooms ( ) the sire of the lot ($3). the number of bathrooms (x;], and a dummy variable (x.). which equals I if the house has a garage and equals 0 if the house does not have a garage. The following results were obtained: ANOVA Regression 204.242.88 51,060.72 Error 205,890.00 8,235.60 Coefficients Standard Error Intercept 15.232.5 8,462.5 2.178.4 778.0 7.8 2.2 2,675.2 1,157.8 2,229.3 463.1 a. Write out the estimated regression equation. [2 Marks] b. C. Interpret the coefficient on the number of rooms (x1). [3 Marks] d. Interpret the coefficient on the dummy variable (x.). [2 Marks] What are the degrees of freedom for the sum of squares explained by the regression (SSR) and e. the sum of squares due to error (SSE)? [3 Marks] Test whether or not there is a significant relationship between the value of a house and the independent variables. Use a .05 level of significance. Be sure to state the null and alternative f. hypotheses. [3 Marks] Test the significance of B, at the 5% level. Be sure to state the null and alternative hypotheses. [2 Marks] Compute the coefficient of determination and interpret its meaning. [2 Marks] Estimate the value of a house that has 9 rooms, a lot with an area of 7,500, 2 bathrooms, and a garage. [3 Marks]