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-Based on your hypotheses test for the full model, what is your conclusion? -Dis

ID: 3245856 • Letter: #

Question

-Based on your hypotheses test for the full model, what is your conclusion?

-Discuss whether you can continue with the regression model. If yes, find the Coefficient of Determination and discuss your findings. How much of the variation in the DV is explained by the regression model?

-Finally, is either regression model of practical value to the client? Defend your position.

The results of your data collection efforts. Conduct a thorough analysis of the data. Use a 90% CL.

Temp

Humidity

MPG

27.0

18

8.4

28.0

68

10.7

32.5

59

12.4

39.0

69

12.8

45.9

35

9.4

57.8

10

9.9

58.1

33

10.8

62.5

74

12.5

88.5

34

14.4

49.0

57

10.8

45.9

18

9.4

17.0

46

8.4

48.0

55

11.7

32.5

68

11.4

Temp

Humidity

MPG

27.0

18

8.4

28.0

68

10.7

32.5

59

12.4

39.0

69

12.8

45.9

35

9.4

57.8

10

9.9

58.1

33

10.8

62.5

74

12.5

88.5

34

14.4

49.0

57

10.8

45.9

18

9.4

17.0

46

8.4

48.0

55

11.7

32.5

68

11.4

Explanation / Answer

Model is significant at 90 % confidence level.

as significance F = 0.000272 < 0.10

Coefficient of Determination = R^2 = 0.775214

variation in the DV is explained by the regression model = 77.52%

SUMMARY OUTPUT Regression Statistics Multiple R 0.880462405 R Square 0.775214047 Adjusted R Square 0.734343874 Standard Error 0.899669155 Observations 14 ANOVA df SS MS F Significance F Regression 2 30.705121 15.35256 18.96772 0.000272 Residual 11 8.90345048 0.809405 Total 13 39.6085714 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 5.252562909 0.95247333 5.514656 0.000182 3.156183 7.348943 3.156183 7.348943 Temp 0.070874975 0.01402915 5.051979 0.000371 0.039997 0.101753 0.039997 0.101753 Humidity 0.053870182 0.01193447 4.513832 0.000881 0.027603 0.080138 0.027603 0.080138