The following information was calculated for a least squares regression analysis
ID: 3180697 • Letter: T
Question
The following information was calculated for a least squares regression analysis: n = 24, S_xy = 30, S_xx = 16, S_yy = 45, b_1 = 1.875, b_0 = 3.12, and SSE = 22. Preform a hypothesis test to see if X contributes information to Y using alpha = 0.05. a) What is the value of your test statistic? b) What critical value from the t-table will be used in the rejection region? Multiple Choice: Which of the following is the correct interpretation of the coefficient of determination r^2 = 0.67? a) There is a strong negative linear relationship between X and Y. b) 33% of the variation in the Y-values is being explained by the model. c) 67% of the variation in the Y-values is explained by having X in the model. d) There is a weak linear relationship between X and Y. Using the following information: n = 7, S_xx = 15, S_xy = 30, S_yy = 80, SSE = 20, b_1 = 2, and s^2 = 4, find the value of the coefficient of determination. () Multiple Choice: What is the correct interpretation of the coefficient of correlation r = 0.94? a) There is a strong negative linear relationship between X and Y. b) 94% of the variation in the Y-values is explained by the model. c) There is a weak positive linear relationship between X and Y. d) There is a strong positive linear relationship between X and Y.Explanation / Answer
Question 6 : Here coefficient of determination r2 = 0.67 has interpretation is " 67% of variation in the Y - values Explained by having X in the model " so option c is correct.
Question 8 : Here coefficient of correlation r = 0.94 can be interpreted as "There is strong positive relationship between X and Y " because r is closer to 1 and r has positive sign.
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