Question

The table below gives the list price and the number of bids received for five randomly selected items sold through online auctions. Using this data, consider the equation of the regression line, yˆ=b0+b1xy, for predicting the number of bids an item will receive based on the list price. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Price in Dollars	23	25	27	31	37
Number of Bids	1	3	4	5	8

Step 1 of 6: Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places.

Step 3 of 6: Find the estimated value of y when x=31. Round your answer to three decimal places.

Step 4 of 6: Determine the value of the dependent variable yˆy^ at x=0x=0.

answer choice: (a) b0 (b) b1 (c) x (d) y

Step 5 of 6: Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

Step 6 of 6: Find the value of the coefficient of determination. Round your answer to THREE decimal places.

Answer 1

The statistical software output for this problem is :

Solution :

From the regression output ,

Step - 1) Slope = 0.458

Step - 2) Y-intercept = -8.893

Step - 3) estimated value = 5.299

Step - 4) b1

Step - 5)  false

Step - 6) the coefficient of determination = 0.963