Question

Formally assess whether usage is a significant predictor of mean interruptions, providing numerical justification (test statistic and
P-value) for your conclusion. Carefully interpret what the estimated model tells you about how
the expected number of interruptions changes as the daily usage changes.

DATA four;
INPUT interruptions usage;
cards;
0 104.2
2 124.6
5 176.3
6 169.3
1 104.6
2 115.8
3 127.8
6 179.4
8 210.5
4 126.7
0 100.5
1 119.5
1 123.8
0 106.4
4 156.7
3 148.2
5 156.2
6 167.3
8 198.2
2 124.6
3 145.9
4 156.2
;
run;

Answer 1

Dear detailed calculation is given as images.

Testing

Ho : regression coefficient of usage = 0

H1 : regression coefficient of usage is not zero

Since from the below table we have the t Statistic as

t = 14.9056

P value < 0.00001

Since p value is very small , the test is significant. So we Reject null hypothesis.

We conclude that usage is a significant predictor of mean interruptions.

Model : Mean interruptions = 101.58362 + 12.26838 * usage

Interpretation : If a unit change in usage results in 12.26838 changes to Mean interruptions

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