QUESTION 2 The Collegue of Business and Economics wants to find the relationship between the final examination (V) with the prelim examination (x1) and midterm examination (X2). A random sample of 25 students are taken and the data is analyzed using Minitab. The output is as follows: VIF Coefficients Term Coel Constant 1352 X1 0.433 x2 1 399 SE Coef T-Value 8.17 165 0.159 2.72 0.184 7.61 P.Value 0.112 0.012 0 3.49 3.49 Model Summary S R4 Req(adj) Reglpred) 556777 93.56% $1.35% F-Value P Value Analysis of Variance Source DF Adj SS Regression 10864 X1 1 229.8 X2 1 17974 Error 22 682 Total 24 11546 Adj MS 5432 229.84 1797 36 7.41 5798 0.012 0 Normal Probability Plot Versus Fits சாடி OBE Percent Nei ... 1. Find the regression equation fwrite the letter of the right answer (2.6.c.d)) a. Final examination - 13.52 0433PrelimExamination + 1.399Midtermination b. Final examination - 8.17.0.15PrelimExamination +0.159MidtermExamination c. Final examination = 1.65 2.72PrelimExamination + 2.72MidtermExamination Final examination 0.112 +0.012PrelimExamination +0.000MidtermExamination
(write the letter of the right answer 2. Interpret the regression coefficient for the variable MidtermExamination (a,b,c,d)) a. For every additional point in the final examination the average mark in the midterm examination increases by 0.433 holding the prelim examination mark constant. b. For every additional point in the midterm examination the average mark in the final examination increases by 1 399 holding the prelim examination mark constant. c. For every additional point in the final examination the average mark in the micherm examination increases by 1.390 holding the preim examination mark constant d. For every additional point in the midterm examination the average mark in the final examination increases by 0.433 holding the prelim examination mark constant. 3. Calculate and interpret the coefficient of determination (R-sal (write the letter of the right sentence (a,b,c,d,e,')) a As the coefficient of determination equals 94.09. then 94.09% of the variability in the explanatory variables is explained by the response variable d. As the coefficient of determination equals 91.35, then, 91.35% of the variability in the explanatory variables is explained by the response variable c. As the coefficient of determination equals 91.35, then. 91.35% of the variability in the response variable is explained by the independent variables. d. As the coefficient of determination equais $4.09, then, 94,09% of the variabilty in the explanatory varable is explained by the independent variables As the coefficient of determination equals 94.09, then. 94.09% of the variability in the responte variable is explained by the Independere variables t. As the coefficient of determination equals 91.35 then, 9135% of the variability in the explanatory variable is explained by the independent variables 4. Complete the ANOVA table: Provide the degrees of freedom in the regression, the F-Value and the MSE letter of the right answer (a,b,c,d,e,f) (write the a. 2 & 186.50 & 29.23 6.2 & 175.23 & 31 c. 4 & 186.50 & 39.23 d. 48 175.23 & 31 - 2 & 404.12 & 10.23 1 2 & 186.50 & 19.23
5. Test for the significance of the regression model (write the letter of the right answer (a,b,c,d)) a. Since the p-value is very largo, we can reject HO and conclude that the score in the prelim and midterm examinations jointly have significant effect on the final mark b. Since the p-value is very small, we can accept HD and conclude that the score in the preum and midterm examinations jointly do not have significant effect on the final mark Since the p-value is very small, we can reject HO and conclude that the score in the preim and midterm examinations jointly have significant effect on the final mark d. Since the p-value is very large, we can accept Ho and conclude that the score in the prelim and midterm examinations jointly do not have significant effect on the final mark 6. Are the assumptions roughly fulfilled? (write the letter of the right answer (a,b)) a. Yes b. No 7. Predict the final examination score for a student with 95 and 91 in the prelim and midterm examinations, respectively (write the letter of the right answer (a,b,c)) 182,082 b. 167.981 c. 182,031 d. 181.96 7 points She Answer Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save Al Answers Save and Submit
QUESTION 2 The Collegue of Business and Economics wants to find the relationship between the final examination (V) with
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QUESTION 2 The Collegue of Business and Economics wants to find the relationship between the final examination (V) with
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