It is commonly believed that age is related to Internet usage among college stud
ID: 3152679 • Letter: I
Question
It is commonly believed that age is related to Internet usage among college students. Here are data from a sample of six college students:
Age (x)
Internet usage hours/week (y)
18
20
18
19
19
17
20
16
20
15
21
8
The goal is to perform the bivariate regression of age on Internet usage hours per week. Ultimately you’ll have to compute the values for a and b in this equation: y = a+bx + . If the t-score for the null hypothesis that b=0 is 4.6 and the degrees of freedom is 4, what do we conclude regarding the null hypothesis b=0 at =0.05 significance level?
Age (x)
Internet usage hours/week (y)
18
20
18
19
19
17
20
16
20
15
21
8
Explanation / Answer
H0: slope(b) =0
H1: slope (b) not equals to 0
alpha:5%
Test statistic:
From Excel
Test statistic:
t= -3.23 / 0.7019 = -4.5974
Conclusion:
P value=0.01 < 0.05
we reject the null hypothesis.
Heence We conclude that there is enough evidence to reject the null hypothesis that b=0.
Coefficients Standard Error t Stat P-value Intercept 78.22727273 13.59368321 5.754678 0.004522 Age (x) -3.227272727 0.701974782 -4.59742 0.01005Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.