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: | 2XY|37832| ΣΧ14964 ΣΧ| 632 ΣΥ | 1650 Next, you run the following regression: marks=₁+3,studyhours 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 decimal places. a) If the standard error for the intercept parameter estimate is 9.818331, construct a 95% confidence interval for the parameter. Pr( SBIS )=95% b) Assuming all else is held constant, the estimated slope coefficient above can be considered and 'effect size' for 'hours studied' on 'marks'. That is, for every additional hour per week studied, on average, the final mark changes by 32. You conduct a hypothesis test to see whether the estimated effect that 'study hours' has on marks is statistically significant (make use of the standard errors given above). You start out with the following null and alternative hypotheses: Ho 20 H₁: 3₂0 What is the calculated test statistic for this test? c) Next you need to find the critical value. You decide on a = 0.05. What is the critical value for this test?
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: | 2XY|37832| ΣΧ14964 ΣΧ| 632 ΣΥ | 1650 Next, you run the following regression: marks=₁+3,studyhours 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 decimal places. a) If the standard error for the intercept parameter estimate is 9.818331, construct a 95% confidence interval for the parameter. Pr( SBIS )=95% b) Assuming all else is held constant, the estimated slope coefficient above can be considered and 'effect size' for 'hours studied' on 'marks'. That is, for every additional hour per week studied, on average, the final mark changes by 32. You conduct a hypothesis test to see whether the estimated effect that 'study hours' has on marks is statistically significant (make use of the standard errors given above). You start out with the following null and alternative hypotheses: Ho 20 H₁: 3₂0 What is the calculated test statistic for this test? c) Next you need to find the critical value. You decide on a = 0.05. What is the critical value for this test?
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 all answers 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:
|EXY|37832|
ΙΣΧ" |14964
ΣΧ 632
1650
ΣΥ
Next, you run the following regression:
marks = 8₁ +8,studyhours
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 decimal places.
a)
If the standard error for the intercept parameter estimate is 9.818331, construct a 95%
confidence interval for the parameter. Pr(
<B1 ≤
)=95%
b)
Assuming all else is held constant, the estimated slope coefficient above can be considered an
'effect size' for 'hours studied' on 'marks'. That is, for every additional hour per week studied, on
average, the final mark changes by 32. You conduct a hypothesis test t see whether the
estimated effect that 'study hours' has on marks is statistically significant (make use of the
standard errors given above). You start out with the following null and alternative hypotheses:
Ho: 320
H₁: 320
What is the calculated test statistic for this test?
c)
Next you need to find the critical value. You decide on a = 0.05. What is the critical value for
this test?
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