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In what follows use any of the following tests/procedures: Regression, multiple regression, confidence intervals, one sided...

In what follows use any of the following tests/procedures: Regression, multiple regression, confidence intervals, one sided T-test or two sided T-test. All the procedures should be done with 5% P-value or 95% confidence interval.Some answers are approximated, choose the most appropriate answer. SETUP: Is it reasonable to claim that cars with higher city MPG have also higher Highway MPG? Given the data your job is to help answer this question.

I. What test/procedure did you perform? (6.66 points)

  • a. One sided T-test
  • b. Two sided T-test
  • c. Regression
  • d. Confidence interval

II. Statistical interpretation? (6.66 points)

  • a. Since P-value is small we are confident that the slope is not zero.
  • b. Since P-value is small we are confident that the averages are different.
  • c. Since P-value is too large the test is inconclusive.
  • d. None of these.

III. Conclusion? (6.66 points)

  • a. Yes, we confirm that this was a reasonable claim.
  • b. No, we cannot confirm that this was a reasonable claim.
CityMPG HighwayMPG
28 34
28 34
26 37
26 37
26 37
29 36
29 36
26 33
27 36
26 33
26 33
32 38
36 44
32 38
29 33
29 33
29 33
26 34
26 34
26 34
23 30
26 33
25 32
24 32
24 32
24 32
28 37
28 35
28 35
24 33
26 35
26 35
26 35
26 35
26 35
32 38
25 31
25 31
24 31
22 30
32 40
32 40
32 40
35 43
33 39
35 43
20 30
21 32
24 34
22 30
21 32
22 29
22 29
22 30
21 28
21 29
21 28
21 28
21 28
20 27
19 26
26 34
26 34
32 37
26 30
46 51
60 66
19 27
19 27
20 27
24 32
20 27
25 34
21 26
23 28
24 32
20 29
20 30
24 33
20 28
22 28
21 28
20 27
24 33
21 29
24 33
20 29
59 51
24 31
24 31
38 46
24 31
24 31
22 29
22 31
20 29
20 29
20 30
18 28
20 30
18 28
23 32
18 28
18 27
21 29
19 27
21 27
22 30
18 27
17 25
17 25
21 30
21 30
17 26
17 26
18 26
18 26
18 26
22 30
19 26
17 25
17 25
19 26
18 25
18 26
21 26
20 28
20 28
20 29
20 30
21 28
20 27
19 26
21 29
21 29
20 29
21 30
24 30
22 31
22 29
20 28
23 30
20 28
17 26
18 25
20 27
18 25
20 29
19 27
19 27
20 30
20 30
20 29
19 28
20 29
20 29
18 25
18 27
21 28
17 25
18 26
19 26
18 25
20 29
18 25
18 24
20 26
20 26
20 25
19 25
19 26
20 26
17 25
17 23
20 28
20 28
21 29
21 29
19 26
21 29
19 26
18 25
20 27
20 28
18 25
20 28
20 27
18 24
18 24
20 27
18 25
18 25
17 24
17 24
14 20
19 28
20 30
18 26
18 26
18 26
18 28
18 26
18 26
18 26
17 23
17 23
18 26
18 28
17 24
18 28
18 28
17 24
18 25
18 23
18 25
17 24
17 24
17 25
17 25
17 25
16 21
16 24
13 19
20 26
17 22
19 27
16 20
18 26
16 24
21 29
21 30
21 28
20 26
19 26

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