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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 data where 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-intercept value to two decimal places. Describe method for obtaining results.
(b) Based on the equation from part (a), what is the predicted 2017 December holiday sales if the 2016 December holiday sales is 6,000 dollars? Show all work and justify your answer.
(c) Based on the equation from part (a), what is the predicted 2017 December holiday sales if the 2016 December holiday sales is 20,000 dollars? Show all work and justify your answer.
(d) Which predicted 2017 holiday sales that you calculated for (b) and (c) do you think is closer to the true predicted 2017 holiday sales and why?
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