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  • From Mathematics: Statistics
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  • Due on Oct. 03, 2011
  • Asked on Oct 02, 2011 at 7:11:01PM
Asked by :
notar1
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Q:

The following Excel output (see SUMMARY OUTPUT next page) represents regression results from Excel of weekly Crude Oil Prices ($/BBL) on the Gasoline Price (Branded Retail ex all taxes) for California from January 1, 2002 to July 14, 2008.

 

1-4.Comment specifically on at least 4 of the numbers shown anywhere below.

 

 

 

 

 

 

 

5. Also, is this a good fit? Why or why not?   

 

 

6. How much of the variation does this model explain?

 

 

7. What’s the correlation coefficient, including its sign?

 

 

8. Lately the price of crude oil has decreased from over $145 to less than $90. What decrease in gasoline prices (less taxes) would you expect for every $10 drop in crude oil price given this model?

 

 

SummaryOutput

 

 

 

 

 

 

 

Regression Statistics

 

 

 

 

 

 

Multiple R

0.9466

 

 

 

 

 

 

R Square

0.8960

 

 

 

 

 

 

AdjustedR Square

0.8957

 

 

 

 

 

 

Standard Error

0.2122

 

 

 

 

 

 

Observations

341

 

 

 

 

 

 

ANOVA

 

 

 

 

 

 

 

 

df

SS

MS

F

Significance F

 

 

Regression

1

131.6144

131.6144

2921.8432

1.0463E-168

 

 

Residual

339

15.2702

0.0450

 

 

 

 

Total

340

146.8846

 

 

 

 

 

 

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

 

Intercept

0.6330

0.0259

24.4268

9.93E-77

0.5820

0.6840

 

Crude Oil Cost $/Bbl

0.0238

0.0004

54.0541

1.05E-168

0.0230

0.0247

 

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