Question

	The following data come from a regression of the Exam Grades on Hours Studying, self rated Anxiety, and A-Level Entry points (this is part of the British education system) for 20 students.
		Coefficients	Standard Error	t Stat	P-value
	Intercept	-11.823	8.806	-1.343	0.198
	Hours Studying	0.551	0.171	3.226	0.005
	Anxiety	0.104	0.058	1.796	0.091
	A-Level Entry Points	1.989	0.496	4.239	0.001
	What is the 95% confidence interval for Hours Studying?
A.	(0.189,0.913)
B.	(-0.019,0.226)
C.	(0.000,1.102)
D.	(0.326,0.778)

Answer 1

number of independent variables (k) = 3

total number of students (N) = 20

df (error) = (N-k-1) = (20-3-1) = 16

t critical value for df = 16, alpha = 0.05, both tailed test be:-

[ using t distribution table]

from the given output:-

the coefficient for Hours Studying=0.551

standard error of the coefficient = 0.171

the 95% confidence interval interval for Hours Studying is:-

(A)

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