It is argued that more time spent studying will result in improved course marks among ECO242 students. To te: whether this is the case you collect data from 30 students on their final marks (Y) and number of hours studie per week during the semester (X). You make the following calculations: |EXY|37832 ΣΧ |14964 ΣΧ 632 ΣΥ | 1650 Next, you run the following regression: marks =B₁ + B₂studyhours where 'marks' is the final mark for the course in percentage points, and 'studyhours' is the number of hours studied per week during the course semester. Answer the remaining questions based on your results.

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It is argued that more time spent studying will result in improved course marks among ECO242 students. To te:
whether this is the case you collect data from 30 students on their final marks (Y) and number of hours studie
per week during the semester (X). You make the following calculations:
ΙΣΧΥ | 37832 |
ΣΧ14964
ΣΧ
ΣΥ
Next, you run the following regression:
marks =B₁ + B₂studyhours
632
1650
where 'marks' is the final mark for the course in percentage points, and 'studyhours' is the number of hours.
studied per week during the course semester. Answer the remaining questions based on your results.
a)
b)
If the total sum of squares is 14648, the residual sum of squares is 8928. What is the value of
2₁
How would you interpret your result above (the value determined for 7.²?
A. The variation in weekly study hours explains close to 40% of the variation in marks.
OB. The variation in weekly study hours explains almost none of the variation in final
marks for the course.
O C. The variation in weekly study hours does not explain any of the variation in final
marks.
c)
O D. Variation in weekly study hours explains a significant proportion of the variation in
study time.
Given your answers above, you conclude that...
OA. The null is not rejected since the test statistic is smaller than the critical value and lies
within the acceptance region of the sampling distribution.
OB. The null is not rejected since the test statistic is larger than the critical value and lies
within the rejection region of the sampling distribution. Thus we conclude that more hours
per week spent studying has, on average, a positive effect on the final mark for the course.
OC. The null is rejected since the test statistic is larger than the critical value and lies
within the rejection region of the sampling distribution. Thus we conclude that more hours
per week spent studying has, on average, a positive effect on the final mark for the course.
OD. The null is accepted since the test statistic is larger than the critical value and lies
within the acceptance region of the sampling distribution. Thus we conclude that more
hours per week spent studying has, on average, a positive effect on the final mark for the
course.
O E. We reject the null hypothesis because the estimated coefficient is a positive value.
Thus we conclude that more hours per week spent studying has, on average, a positive
effect on the final mark for the course.
Transcribed Image Text:It is argued that more time spent studying will result in improved course marks among ECO242 students. To te: whether this is the case you collect data from 30 students on their final marks (Y) and number of hours studie per week during the semester (X). You make the following calculations: ΙΣΧΥ | 37832 | ΣΧ14964 ΣΧ ΣΥ Next, you run the following regression: marks =B₁ + B₂studyhours 632 1650 where 'marks' is the final mark for the course in percentage points, and 'studyhours' is the number of hours. studied per week during the course semester. Answer the remaining questions based on your results. a) b) If the total sum of squares is 14648, the residual sum of squares is 8928. What is the value of 2₁ How would you interpret your result above (the value determined for 7.²? A. The variation in weekly study hours explains close to 40% of the variation in marks. OB. The variation in weekly study hours explains almost none of the variation in final marks for the course. O C. The variation in weekly study hours does not explain any of the variation in final marks. c) O D. Variation in weekly study hours explains a significant proportion of the variation in study time. Given your answers above, you conclude that... OA. The null is not rejected since the test statistic is smaller than the critical value and lies within the acceptance region of the sampling distribution. OB. The null is not rejected since the test statistic is larger than the critical value and lies within the rejection region of the sampling distribution. Thus we conclude that more hours per week spent studying has, on average, a positive effect on the final mark for the course. OC. The null is rejected since the test statistic is larger than the critical value and lies within the rejection region of the sampling distribution. Thus we conclude that more hours per week spent studying has, on average, a positive effect on the final mark for the course. OD. The null is accepted since the test statistic is larger than the critical value and lies within the acceptance region of the sampling distribution. Thus we conclude that more hours per week spent studying has, on average, a positive effect on the final mark for the course. O E. We reject the null hypothesis because the estimated coefficient is a positive value. Thus we conclude that more hours per week spent studying has, on average, a positive effect on the final mark for the course.
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