Consider the relationship between the number of bids an item on eBay received and the item's selling...

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Consider therelationship between the number of bids an item on eBay receivedand the item's selling price. The following is a sample of 5 itemssold through an auction.

Price in Dollars109109132139194
Number of Bids1313151920

A. Calculate the sum of squared errors (SSE). Use the valuesb0=4.5256b0=4.5256 and b1=0.0840b1=0.0840 for the calculations.Round your answer to three decimal places.\

B. Calculate the estimated variance of errors, s2e. Round youranswer to three decimal places.

C. Calculate the estimated variance of slope, s2b1. Round youranswer to three decimal places.

D. Construct the 90%confidence interval for the slope. Roundyour answers to three decimal places. Lower endpoint: ____ Upperendpoint: ________

E. Construct the 95%confidence interval for the slope. Roundyour answers to three decimal places. Lower endpoint: ____ Upperendpoint: ________

Answer & Explanation Solved by verified expert
4.4 Ratings (541 Votes)

using excel>data>data analysis>Regression

we have

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.88148
R Square 0.777006
Adjusted R Square 0.702675
Standard Error 1.808474
Observations 5
ANOVA
df SS MS F Significance F
Regression 1 34.18827 34.18827 10.45328 0.0481
Residual 3 9.811731 3.270577
Total 4 44
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 90.0% Upper 90.0%
Intercept 4.52551 3.639997 1.243273 0.302075 -7.05858 16.1096 -4.04073 13.09175
price in dollars 0.084001 0.025981 3.233154 0.0481 0.001317 0.166684 0.022858 0.145143

A. the sum of squared errors (SSE) is 9.812

B. the estimated variance of errors, s2e is 1.808*1.808 =3.269

C. the estimated variance of slope, s2b1 is 0.026*0.026 = 0.000676

D. the 90%confidence interval for the slope

. Lower endpoint: 0.023 Upper endpoint: 0.145

E. the 95%confidence interval for the slope.

. Lower endpoint: 0.001 Upper endpoint: 0.167


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