After running a multiple regression on sample of 124 students in a university, following results are generated. log(Y) = 0.01 + 0.3 X1 – 0.11 log(X2) + 0.03 log (X3) + ɛ (0.06) se = (0.2) (0.001) t (2.4) R2 = 0.65 Where; Y = Students CGPA X1 = family income in 1,000 X2 = Number of subjects enrolled X3 = hours spent on studying Required: (а) Which of independent variables are statistically significant at 0.05? (b) Would you reject the null hypothesis that number of subjects enrolled has no effect or whatsoever on students CGPA? (с) What is the overall significance of the regression at the 5 percent level? State the hypotheses and show the necessary calculations. What can you conclude?
After running a multiple regression on sample of 124 students in a university, following results are generated. log(Y) = 0.01 + 0.3 X1 – 0.11 log(X2) + 0.03 log (X3) + ɛ (0.06) se = (0.2) (0.001) t (2.4) R2 = 0.65 Where; Y = Students CGPA X1 = family income in 1,000 X2 = Number of subjects enrolled X3 = hours spent on studying Required: (а) Which of independent variables are statistically significant at 0.05? (b) Would you reject the null hypothesis that number of subjects enrolled has no effect or whatsoever on students CGPA? (с) What is the overall significance of the regression at the 5 percent level? State the hypotheses and show the necessary calculations. What can you conclude?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Transcribed Image Text:After running a multiple regression on sample of 124 students in a university, following
results are generated.
log(Y) = 0.01 + 0.3 X1 – 0.11 log(X2) + 0.03 log (X3) + ɛ
(0.06)
( )
(2.4)
se =
(0.2)
(0.001)
R2 = 0.65
Where;
Y = Students CGPA
Xi = family income in 1,000
X2 = Number of subjects enrolled
X3 = hours spent on studying
Required:
(a)
Which of independent variables are statistically significant at 0.05?
(b) Would you reject the null hypothesis that number of subjects enrolled has no effect
or whatsoever on students CGPA?
(c)
What is the overall significance of the regression at the 5 percent level? State the
hypotheses and show the necessary calculations. What can you conclude?
(d) Can you interpret the coefficients of X1 and X2 as elasticity coefficients? Why or why
not?
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