Question

Use the following for questions 26-33 The following output is a multiple linear regression analysis used to model a general respanse variable with several explanatory variables (n 104) Scatterplot Matrix response 26. Which statement is FALSE from the scatterplot x.1 matrix? x.2 o There is a strong linear relationship between x.2 and x.3. x.3 o The variable x.3 is categorical variable. O There is strong negative association between x.2 and the response. O There are three explanatory variables. 27.What percent of variation in the response is not explained by the explanatory variables in the Estimate std. Error t value Prltl ) 0.832 (Intercept) -9.7234 х.1 х.2 х.3 45.7937 0.212 0.9375 12.024 <2e-16 0.2820-13.870<2e-16 * 4.431 2.41e-05 11.2729 3.9109 19.5701 4.4167 model? o.001 0.01 0.05 0.1 signif, codes: 0 o 72.7% Residual standard error: 20.71 on 100 degrees of freedon Multiple R-squared: 0.7272, Adjusted R-squared: 0.719 F-statistic: 88.86 on 3 and 100 DF, p-value:<2.2e-16 O 27.3% O 20.7% O 71.9% P-0 is 28.The test statistic O 20.71 O 4.431 O 2.2 for the null hypothesis of Ho: B-P2 O 88.86 29.The margin of error for the 95 % Confidence Interval for the coefficient of x.3, B, is O 4.167 O 8.763 O 41.09 O 19.57 30.Using the regression equation when x.1 80, x.2 =50, x3 -1 the predicted response is O 2405 O 260.62 O 716.13 696.56

last year paper , solve

Answer 1

26. The variable x3 is a categorical variable

27. (100-72.72)% = 27.3%

28. 88.86

29. 4.167

30. y= -9.7234+(11.2729* 80)+(-3.9109* 50)+(19.5701* 1) = 716.1337