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It is commonly believed that age is related to Internet usage among college stud

ID: 3152681 • 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 a=78.23, b=-3.23, and the standard error for b is 0.70, what is the t-score for the null hypothesis that b=0? Report the absolute value for the t-score.

Age (x)

Internet usage hours/week (y)

18

20

18

19

19

17

20

16

20

15

21

8

Explanation / Answer

From excel

t cal =4.6

hence t is between 4.5 and 5.5

Coefficients Standard Error t Stat P-value Intercept 78.22727273 13.59368321 5.754678 0.004522 Age (x) -3.227272727 0.701974782 -4.59742 0.01005
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