B) 3.46% of the total var ablity in percenta S C) 2% of the total variability in
ID: 3065518 • Letter: B
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B) 3.46% of the total var ablity in percenta S C) 2% of the total variability in score received can be explained by percentage D) 2% of the total variability in percentage attendance can be explained by score received (Questions 17-19) It is believed that GPA (grade point average, based on a four point scale) should have a positive linear relationship with ACT scores. Given bellow is the Excel output from regressing GPA on ACT scores using 8 randomly chosen students Regression Statistics Multiple R R Square Observations 0.7598 0.5774 F Significance F 0.0286 ANOVA MS 0,5940 0.5940 8.1986 0.4347 0.0724 1.0287 Total Standard Error Coefficients 0.5681 0.1021 t Stat P-value 0.9284 0.6119 0.5630 0.0356 2.8633 0.0286 Intercept ACT 17. Referring to the output, the value of the measured test statistic to test the significa of the slope at the 0 01 significance level (i.e. whether there is any linear relationship between GPA and ACT) is A) 0.0356. B) 0.2021. C) 0.7598. D) 2.868. tb/Sb 0.1021/0.0356 18 Refering to the output what is the predicted average value of GPA when ACT -20 A) 2.61 B)2.66 C) 2.80D) 3.12 19. Referring to the output, what are the decision and conclusion on testing the significance of the slope ( e whether there is any linear relationship at 1% level of significance between GPA and ACT scores)? Econ3090 Exam 2, Page 3 of 6Explanation / Answer
17) from above output test statistic for slope ACT =2.868
option D is correct
18)
predicted value =0.5681+20*0.1021=2.61
option A is correct
19)
as p value is more than 1% level of signifiance we can not rejeect null hypothesis
we do not have evidence to conclude that slope is significant,or linear relationship is significant.
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