It is commonly believed that age is related to Internet usage among college stud
ID: 3152677 • 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 + . We compute that the coefficient of determination R2 for this regression equation is 0.84. Which of the following statement is correct?
Age (x)
Internet usage hours/week (y)
18
20
18
19
19
17
20
16
20
15
21
8
Explanation / Answer
The regression equation is
The ffitted Regression is
y= 78.23 -3.23(age)
Co efficient of determination R2 =0.841
Hence we conclude that 84% of variation in y explained by x
SUMMARY OUTPUT Regression Statistics Multiple R 0.916988217 R Square 0.840867389 Adjusted R Square 0.801084237 Standard Error 1.900956697 Observations 6 ANOVA df SS MS F Significance F Regression 1 76.37878788 76.37879 21.13627 0.01005 Residual 4 14.45454545 3.613636 Total 5 90.83333333 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 78.22727273 13.59368321 5.754678 0.004522 40.48516 115.9694 Age (x) -3.227272727 0.701974782 -4.59742 0.01005 -5.17627 -1.27828Related Questions
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