Limited access

A sample of $10\text{ students}$ were randomly selected and observed for a week to determine how many hours they spent on the Internet in a given week.

Student Internet Usage GPA
1 20 2.2
2 12 3.2
3 18 2.6
4 16 2.7
5 8 3.8
6 22 2.5
7 14 2.8
8 5 3.9
9 19 2.4
10 10 3.4

The observations were recorded along with each student’s GPA in the table above. The below is a computer output based on the data:

Coefficients Standard Error t-Stat
Intercept 4.423894437 0.154493021 28.6349145
Internet Usage -0.10235378 0.010069447 -10.164786

What is the equation for a $95\%$ confidence interval on the true slope?

A

$4.4238\pm(1.86) \cdot 0.15449$

B

$-0.10235\pm(1.86) \cdot 0.01007$

C

$-10.1647\pm(2.101) \cdot 0.0100694$

D

$4.4238\pm(2.306) \cdot 0.15449$

E

$-0.10235\pm(2.306) \cdot 0.01007$

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