Question

1. The manager of a small concession stand kept track of the number of hamburgers that she sold for each of eight hours, along with the number of hot dogs that she sold during those same hours. The results are given in the table below.

   Concession Stand Sales Data

Hour	Number of Hamburgers Sold (X)	Number of Hot Dogs Sold (Y)
1	3	2
2	5	5
3	6	3
4	2	6
5	4	6
6	3	5
7	7	4
8	2	4

Construct the scatterplot of these data pairs, and place the least-squares linear regression line of best fit on the graph. Label the graph axes , line and data pairs clearly and thoroughly. Round the regression line coefficients to two decimal places.

Answer 1

X Y XY XX YY 3 2 6 9 4 5 5 25 25 25 6 3 18 36 9 2 6 12 4 36 4 6 24 16 36 3 5 15 9 25 7 4 28 49 16 2 4 8 4 16 ΣΧ = 32.0, ΣΥ = 35.0 ΣΧΥ = 136.0,ΣΧΧ = 152.0, ΣΥΥ = 167.0


+ L Number of hot dogs sold (y) y=-5:0417-0-166-7-x- 10 12 14 number of hamburgers sold (x)


= α+ br " ΣΥ * ΣXX – ΣΧ* ΣΧΥ ηΣ Χ2 – (ΣΧ)2 35.0 * 152.0 – 32.0 * 136.0 - 5.0417 " 8 και 152.0 – 32.0 και 32.0 , ηΣΧΥ - ΣΧ *ΣΥ ο = - η Σx2 – (ΣΧ)2 8 και 136.0 – 32.0 * 35.0 b = 8 ή 152. 2, -0.1667 δ * 152.0 – 320 και = 5.04 - 0.17

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