In: Statistics and Probability
Consider the relationship between the number of bids an item on eBay received and the item's selling price. The following is a sample of 55 items sold through an auction.
Price in Dollars | 22 | 24 | 33 | 36 | 46 |
---|---|---|---|---|---|
Number of Bids | 4 | 7 | 7 | 9 | 10 |
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values b0=0.5961 and b1=0.2113 for the calculations. Round your answer to three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s2e. Round your answer to three decimal places.
Step 3 of 5:
Calculate the estimated variance of slope, s2b1. Round your answer to three decimal places.
Step 4 of 5:
Construct the 80% confidence interval for the slope. Round your answers to three decimal places.
...lower endpoint...upper endpoint
Step 5 of 5:
Construct the 98% confidence interval for the slope. Round your answers to three decimal places.
...lower endpoint...upper endpoint
The statistical software output for this problem is:
Hence,
Step - 1: SSE = 4.384
Step - 2: Estimated variance of errors = MSE = 1.461
Step - 3: estimated variance of slope, s2b1 = (0.062277834)2 = 0.004
Step - 4: 80% confidence interval:
Lower endpoint = 0.109
Upper endpoint = 0.313
Step - 5: 98% confidence interval:
Lower endpoint = -0.072
Upper endpoint = 0.494