It is commonly believed that age is related to Internet usage among college stud
ID: 3222694 • 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 + . In this case, internet usage is called the _________.
Ultimately you’ll have to compute the values for a and b in this equation: y = a+bx + . In this case, age is called the _________.
both c and d are correct.
Ultimately you’ll have to compute the values for a and b in this equation: y = a+bx + . In this kind of regression equation setting, is called ________.
both c and d are correct.
Ultimately you’ll have to compute the values for a and b in this equation: y = a+bx + . What is the value of b?
more than -1.00
Ultimately you’ll have to compute the values for a and b in this equation: y = a+bx + . If the value of b is -3.23, which of the following statements is correct?
Every year of age increase is associated with either 3.23 hour less or 3.23 hours more Internet use per week, on average, depending on the actual age of the respondent.
Ultimately you’ll have to compute the values for a and b in this equation: y = a+bx + . What is the value of a?
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 predicted value of Internet usage for the person who is 18 years old?
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)?
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.
Ultimately you’ll have to compute the values for a and b in this equation: y = a+bx + . The t-score for the null hypothesis that b=0 is 4.6, what is the degrees of freedom for this test?
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?
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
internet usage is called the dependent variable
age is called the independent variable
both c and d are correct.
b is between -4.00 and -3.00
Every year of age increase is associated with 3.23 hour less Internet use per week, on average.
a is between 75 and 85
predicted age is between 19 and 21
residual less than 0.15
t score =between 4.5 and 5.5
degree of freedom =4
We conclude that there is enough evidence to reject the null hypothesis that b=0
Age explains 84% of the variance in internet usage.
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