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. Round off to 4 demimal places. a) The value for the intercept parameter is? b) If the standard error for the slope parameter estimate is 0.439617, construct a 95% confidence interval for the parameter. Pr SB₂ ≤ )=95% c) If the standard error for the slope parameter estimate is 0.439617, construct a 95% confidence interval for the parameter. Pr

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

This is 1 question that has 3 sub-parts. Please answer all from a-c.

I
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:
| ΣΧΥ | 37832
ΣΧ’ | 14964
632
ΣΥ
ΣΥ | 1650
Next, you run the following regression:
marks=₁+₂studyhours
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.
Round off to 4 demimal places.
a) The value for the intercept parameter is?
b)
If the standard error for the slope parameter estimate is 0.439617, construct a 95% confidence
interval for the parameter.
Pr
SB₂ ≤
)=95%
c)
If the standard error for the slope parameter estimate is 0.439617, construct a 95% confidence
interval for the parameter.
Pr
<B₂ ≤
)=95%
Transcribed Image Text:I 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: | ΣΧΥ | 37832 ΣΧ’ | 14964 632 ΣΥ ΣΥ | 1650 Next, you run the following regression: marks=₁+₂studyhours 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. Round off to 4 demimal places. a) The value for the intercept parameter is? b) If the standard error for the slope parameter estimate is 0.439617, construct a 95% confidence interval for the parameter. Pr SB₂ ≤ )=95% c) If the standard error for the slope parameter estimate is 0.439617, construct a 95% confidence interval for the parameter. Pr <B₂ ≤ )=95%
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman