- Graduation Rates And What Influences Ther Have Become A Concern In Colleges And Universities The Predictor Variables Us 1 (75.88 KiB) Viewed 27 times
Thank you!
Graduation rates and what influences ther have become a concern in colleges and universities. The predictor variables used are student-to-faculty ratio, percentage of freshmer in the top 10% of their high school class, and percentage of applicants accepted. The multiple regression analysis was done for a sample of 48 schools. Complete parts (a) though (f) below. Click the icon to view the computer output. conclude that percentage of freshman in the top 10% of their high school classi useful for predicting graduation rate? Be precise in your conclusion. a. At the 10% significance level, do the data provide sufficient evidence What are the hypotheses for the test? O A. Ho: B2 and Hy: P = 0 OB. Ho: P2 = 0 and H,: B20 OC. Ho: = 0 and H 30 OD. Ho: B2 = 0 and H, B20 What is the test statistic? 1 = (Round to three decimal places as needed.) Identify the critical value(s). V (Round to three decimal places as needed.) Which of the following is the correct conclusion for the hypothesis test? O A Reject Hi the data provide sufficient evidence to conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate. OB. Do not reject Hoi the data provide sufficient evidence lo conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate. O c. Reject Hoi the data do not provide sufficient evidence to conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate. OD. Do not reject Ho the data do not provide sufficient evidence to conclude that percentage of freshman in the top 10% of their high school class is useful for predicting graduation rate. b. Repeat part (a) for each of the variables student-to-faculty ratio and percentage accepted.
b. Repeat part (a) for each of the variables student-to-faculty ratio and percentage accepted. At the 10% significance level, do the data provide sufficient evidence to conclude that student-to-faculty ratio is useful for predicting graduation rate? Be precise in your conclusion. Choose the correct hypotheses below. A. Ho: B4 = 0 and Ha: B7 > 0 = B. Ho: B1 #0 and Ha: B1 = 0 C. Ho: B1 = 0 and Ha: By <0 = D. Ho: B1 = 0 and Ha: B170 What is the test statistic? t= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) Which of the following is the correct conclusion for the hypothesis test? O A. Reject Ho; the data provide sufficient evidence to conclude that student-to-faculty ratio is useful for predicting graduation rate. B. Do not reject Ho; the data do not provide sufficient evidence to conclude that student-to-faculty ratio is useful for predicting graduation rate. C. Reject Ho; the data do not provide sufficient evidence to conclude that student-to-faculty ratio is useful for predicting graduation rate. D. Do not reject Ho; the data provide sufficient evidence to conclude that student-to-faculty ratio is useful for predicting graduation rate.
At the 10% significance level, do the data provide sufficient evidence to conclude that percentage of applicants accepted is useful for predicting graduation rate? Be precise in your conclusion. Choose the correct hypotheses below. O A. Ho: B3 = 0 and Ha: B3 < 0 . B. Ho: B3 70 and Ha: B3 = 0 = O C. Ho: B3 = 0 and Ha: B3 70 D. Ho: B3 = 0 and Ha: B3 > 0 = What is the test statistic? t= (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) Which of the following is the correct conclusion for the hypothesis test? O A. Reject Ho; the data provide sufficient evidence to conclude that percentage of applicants accepted is useful for predicting graduation rate. B. Do not reject Ho; the data do not provide sufficient evidence to conclude that percentage of applicants accepted is useful for predicting graduation rate. OC. Do not reject Ho; the data provide sufficient evidence to conclude that percentage of applicants accepted is useful for predicting graduation rate. OD. Reject Ho; the data do not provide sufficient evidence to conclude that percentage of applicants accepted is useful for predicting graduation rate.
c. Is another regression analysis called for? If so, which predictor variable(s) should be included? Explain your answer. O A. No, the current regression analysis appears to be sufficient. B. Yes, a regression analysis using only the variable STD/FAC appears to be called for. C. Yes, a regression analysis using only the variable TOP10%HS appears to be called for. D. Yes, a regression analysis using only the variable ACCEPTED appears to be called for. d. Find a 90% confidence interval for the coefficient B2 of the predictor variable x2 (percentage of freshmen in the top 10% of their high school class). < |=B2= (Round to three decimal places as needed.) e. Interpret the result from part (d) in words. A. One can be 90% confident that the regression coefficient, B2, is somewhere within the interval as found in part (d). B. One can be 90% confident that the regression coefficient, B2, is not somewhere within the interval as found in part (d). O C. One can be 90% confident that the regression coefficient, B2, is one of the values found in part (d). f. Repeat part (d) for the coefficient B1 of the predictor variable x1 (student-to-faculty ratio). sp, so (Round to three decimal places as needed.)
The regression equation is GRADRATE = 97.9 -0.231 STD/FAC + 0.0143 TOP10%HS - 0.293 ACCEPTED% Predictor Coef SE Coef T Р Constant 97.9 17.70 0.000 5.530 0.2033 STD/FAC -0.2128 - 1.05 0.301 0.05727 0.25 0.804 TOP10%HS ACCEPTED 0.01429 -0.29255 0.05199 -5.63 0.000 S= 5.138 R-Sq = 63.8% R-Sq(adj) = 61.3% Analysis of Variance DF SS F P MS 681.93 3 25.83 0.000 Source Regression Residual Error Total 44 2045.79 1161.46 3207.25 26.40 47