It is commonly believed that age is related to Internet usage among college stud
ID: 3152682 • 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 and b=-3.23, what is the residual for the person who is 18 years old who reported 20 hours of Internet usage (first observation)?
Age (x)
Internet usage hours/week (y)
18
20
18
19
19
17
20
16
20
15
21
8
Explanation / Answer
RESIDUAL = OBSERVED VALUE -PREDICTED VALUE
NOW Y = A+BX
THEREFORE FOR X = 20
Y = 78.23 -3.23*18 = 20.09
HENCE RESIDUAL = 20.09 - 20 = 0.09
HENCE LESS THEN 0.015 THEREFORE OPTION A IS CORRECT
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