SUMMARY OUTPUT
Regression Statistics
Multiple R 0.421773345
R Square 0.177892754
Adjusted R Square 0.167616414
Standard Error 15.20840585
Observations 82
Standard
Lower Upper
Coefficients Error t Stat P-value
95% 95%
Intercept 50.00871552 8.021612 6.234248 2.016-08 34.0452 65.97223
MT 1 0.406164392 0.097621 4.160638 7.93E-05 0.211893 0.600436
Above is the regression output to see if there is a linear relationship between midterm 1 scores and midterm 2
scores for both of my Fall 2022 BUS 90 sections. The scores were entered as percents, not proportions.
12. What is the equation of the line describing the relationship between Midterm 1 and Midterm 2 scores?
a. 50.01 +0.41
b. 50.01+0.41 MT1
c. MT 2-50.01 +0.41 (MT 1)
d. MT 1-50.01 +0.41(MT 2)
e. None of the above
13. What is the p-value for the slope of the line?
a. 0.212
b. 0,0000000201
c. 0.0000793
d. 0.600
e. None of the above
14. What are the null and alternative hypotheses this p-value is based on?
a. Ho: 0; Ha: B-0
b. Ho: ẞ=0; Ha: β≠0
c. Ho: B-0.41; Ha: B 0.41
d. Ho: ẞ-0; Ha: β-0.41
e. None of the above
15. Can we say that there is a statistically significant linear relationship between average of midterm scores
and the final exam score?
a. No, because p-value 0.0000793 <0.05
b. No, because p-value 0.0000000201 <0.05
c. Yes, because the p-value 0.0000000201 <0.05
d. Yes, because the p-value 0.0000793 <0.05
e. None of the above
16. Approximately what percent of the variation in the response variable is explained by the line?
a. 42.2%
b. 17.8%
c. 40.6%
d. 50.01%
e. None of the above
17. The 95% confidence interval for the slope of the line is
a. 0.212
b. (0.212, 0.600)
c. (34.04, 0.212)
d. (65.97, 0.600)
e. None of the above
18. A valid interpretation of the 95% confidence interval for the slope is:
a. There is a 95% chance that the true slope lies within the 95% confidence interval.
b. 95% of the time when we calculate the 95% confidence interval for the slope, the confidence
interval calculated will contain the true slope.
c. There is a 5% chance that the true slope lies outside the 95% confidence interval.
d. All of the above
e. None of the above
19. How many students took both exams?
a. 82
b. 50
c. 45
d. Cannot tell with the information given
e. None of the above
20. What is the approximate average midterm 2 score for students who got 90 on midterm 1?
a. 95
b. 97
c. 85
d. 87
e. None of the above
