Which of the assumptions of regression, if any, have been seriously violated? Select all that apply.

Context:

A magazine collected the ratings for food, decor, service and the cost per person for a sample of 30 restaurants. They combined the ratings to create a summated rating and used that to predict the cost of a restaurant meal. The data are modeled by a = - 29.5602 +1.2025Xi, where Xi is the summated ratings and is meal cost. Perform a residual analysis for these data. Evaluate whether the assumptions of regression have been seriously violated. E Click the icon to view the data table. Which of the assumptions of regression, if any, have been seriously violated? Select all that apply. I] A. The assumption of linearity has been violated because the data are clearly curvilinear. I] B. The assumption of normality has been violated because the normal probability plot does not appear to be a straight line. |:| C. The assumption of independence of errors has been violated because the errors are not independent of one another. I:I D. The assumption of equal variance has been violated because the variability of the residuals is not constant for all values of X. |:| E. The assumptions of linearity, independence, normality, and equal variance do not appear to have been seriously violated. D1 'l | 2' II A 1 Summatedran 2 1 59 44 3 2 52 34 4 3 57 25 5 4 73 73 6 5 57 43 7 6 57 41 8 7 64 54 9 3 65 66 10 9 62 35 11 10 68 60 12 11 56 35 13 12 60 54 14 13 64 40 15 14 64 35 16 15 55 26 17 16 65 48 18 17 59 47 L9 18 50 35 20 19 68 56 21 20 66 43 22 21 63 48 23 22 50 36 24 23 56 36 25 24 63 45 26 25 73 52 27 26 52 33 28 27 5-4 40 23 28 70 48 3D 29 56 35 31 30 68 48 3-. A B C D E F G H K L M N O P Q 1 SUMMARY OUTPUT N X Variable 1 Residual Plot X Variable 1 Line Fit Plot W Regression Statistics 20 4 Multiple R 0.721245 80 5 R Square 0.520195 60 Residuals 6 Adjusted R Square 0.503059 > 40 0 20 40 80 Y 7 Standard Error 7.793107 20 8 Observations 30 -20 0 Predicted Y X Variable 1 0 20 40 60 80 9 10 ANOVA X Variable 1 11 df SS MS F gnificance F 12 Regression 1 1843.656 1843.656 30.35698 6.9E-06 13 Residual 28 1700.511 60.73252 Normal Probability Plot 14 Total 29 3544.167 15 80 16 Coefficientsandard Err, t Stat P-value Lower 95%Upper 95%ower 95.09pper 95.0% 60 17 Intercept 29.5602 13.39651 -2.20656 0.035715 -57.0017 -2.11866 -57.0017 -2.11866 40 18 X Variable 1 1.202515 0.218254 5.509717 6.9E-06 0.755443 1.649587 0.755443 1.649587 20 19 0 20 40 60 80 100 120 20 21 Sample Percentile