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: ΣΧΥ137832 ΣΧ* 14964 632 ΣΧ ΣΥ 1650 Next, you run the following regression: marks-3₁ +3₂studyhours 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) For the residuals derived from the above regression model, skewness =-0.9779 and kurtosis = 2.2552. Conduct the Jarque-Bera test of normality at a = 5. Ho Residuals are normally distributed. H₁ Residuals are not normally distributed. The JB test-statistic is given by b) They statistic is given by c) Since the JB statistic is (greater/smaller) Ho (can/cannot) than the x² statistic, be rejected. Therefore the (null/alternative) hypothesis is assumed. The residuals (are/are not) normally distributed.
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: ΣΧΥ137832 ΣΧ* 14964 632 ΣΧ ΣΥ 1650 Next, you run the following regression: marks-3₁ +3₂studyhours 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) For the residuals derived from the above regression model, skewness =-0.9779 and kurtosis = 2.2552. Conduct the Jarque-Bera test of normality at a = 5. Ho Residuals are normally distributed. H₁ Residuals are not normally distributed. The JB test-statistic is given by b) They statistic is given by c) Since the JB statistic is (greater/smaller) Ho (can/cannot) than the x² statistic, be rejected. Therefore the (null/alternative) hypothesis is assumed. The residuals (are/are not) normally distributed.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
Round off to 4 decimal places.
This is 1 question that has 3 sub-parts, please answer all from a-c
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
ΣΥ
ΣΥ 1650
632
Next, you run the following regression:
marks = 3₁ +3₂studyhours
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)
For the residuals derived from the above regression model, skewness =-0.9779 and kurtosis =
2.2552. Conduct the Jarque-Bera test of normality at a = 5.
Ho Residuals are normally distributed.
H₁
Residuals are not normally distributed.
The JB test-statistic is given by
=
=
b)
They statistic is given by
c)
Since the JB statistic is (greater/smaller)
Ho (can/cannot)
than the x² statistic,
be rejected. Therefore the (null/alternative)
hypothesis is assumed. The residuals (are/are not)
normally distributed.
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