20. A business analyst believes that December holiday sales in 2016 are a good predictor of December holiday sales in 2017. A random sample of 8 toys stores produced the following datawhere x is the amount of December holiday sales in 2016 and y is the amount of December sales in 2017, in dollars.

x y

10257 11689

6556 6438

7224 8662

9987 9454

11568 12004

8453 8021

4235 6048

5576 4850

(a) Find an equation of the least squares regression line. Round the slope and y-interceptvalue to two decimal places. Describe method for obtaining results.

(b) Based on the equation from part (a), what is the predicted 2017 December holidaysales if the 2016 December holiday sales is 6,000 dollars? Show all work and justify youranswer.

(c) Based on the equation from part (a), what is the predicted 2017 December holidaysales if the 2016 December holiday sales is 20,000 dollars? Show all work and justifyyour answer.

(d) Which predicted 2017 holiday sales that you calculated for (b) and (c) do you think iscloser to the true predicted 2017 holiday sales and why?