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Estimate a simple linear regression model predicting Oil Usage from Degree Days.

ID: 3310667 • Letter: E

Question

Estimate a simple linear regression model predicting Oil Usage from Degree Days. Is this model statistically significant? O No O Yes QUESTION 2 2] How much of the variation in Oil Usage is explained by the variation in Degree Days? O 54.3% 29.4% O 150.36% O 0.29% QUESTION 3 3] Based on the simple regression model, for each one unit increase in Degree Days, Oil Usage increases by O 29.4% 58.80 3.98 0.25 units QUESTION 4 [4] The Y-intercept of the simple regression model predicting Oil Usage from Degree Days is significantly different from 0 in the population No Yes

Explanation / Answer

from above below is output:

1)

Yes

2)

from abvoe R2 =29.4%

3)

oil usage increase by 0.25

4) as p value is high ; therefore No

please revert for any clarification

Regression Statistics Multiple R 0.542663 R Square 0.294484 Adjusted R Square 0.275917 Standard Error 150.3603 Observations 40 ANOVA df SS MS F Significance F Regression 1 358595.1 358595.1 15.86126 0.000297 Residual 38 859112.8 22608.23 Total 39 1217708 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 58.80354 46.51918 1.264071 0.213904 -35.3696 152.9767 Degree 0.251425 0.063131 3.98262 0.000297 0.123624 0.379226
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