How well do exams given during the semester predict performance on the final?a)

Question

How well do exams given during the semester predict performance on the final?a) Write the equation of the regression model One class had 3 tests during the semester. Computer output of the regression is given below. Let x1, x2, and x3 be the predictor variables for test 1, test 2, and test 3 respectively. Let y be the predicted final exam score. What is the regression equation Dependent variable is Final s-13.46 R-sq-77.7% R-Sq(adj)-74.1 Predictor Coef SE(Coef) Intercept 6.78 15.00 Test1 0.2570 0.2274 Test2 0.3917 0.2194 Test3 0.9015 0.2083 P-val 0.6581 0.2733 0.0903 0.0903 y6.78 0.2570 x1 + 0.3917 x2 - 0.45 1.13 1.79 4.33 + 0.9015X3 (Use integers or decimals for any numbers in the expression.) b) Explain in context what the coefficient of test 3 (X3) scores means Analysis of Variance (ANOVA) Source Regression DF 3 11960.7 19 3441.7 22 15402.4 O A. After allowing the effects of test 1 and test 2, each point on test 3 is associated with an average decrease of 6.78 points on the final B. After allowing the effects of test 1 and test 2, each point on test 3 is associated with an average increase of 0.9015 points on the final C. After allowing the effects of test 1 and test 2, each point on test 3 is associated with an average increase of 0.2194 points on the final D. After allowing the effects of test 1 and test 2, each point on test 3 is associated with an average increase of 0.3917 points on the final MS 3986.9 181.1 700.1 va 22.01

Explanation / Answer

Here coeficient of x3 is + ve .

so increase in x3 then final score will be increase and it increase by coefficient of x3 which is 0.9015

so answer is

B) After allowing effect of test1 and test2 each point on test 3 is associated with an avarage increase of 0.9015 points on the final.

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