The following table contains the advertising cost and average daily sales for a random sample of ten months at a local fruit stand.
Month | Monthly Advertising ($) | Avg. Daily Sales ($) | x² | y² | xy |
---|---|---|---|---|---|
1 | 120.58 | 231.69 | 14539.5364 | 53680.2561 | 27937.1802 |
2 | 143.00 | 291.78 | 20449 | 85135.5684 | 41724.54 |
3 | 108.91 | 240.70 | 11861.3881 | 57936.49 | 26214.637 |
4 | 130.41 | 264.80 | 17006.7681 | 70119.04 | 34532.568 |
5 | 115.14 | 264.16 | 13257.2196 | 69780.5056 | 30415.3824 |
6 | 107.54 | 224.35 | 11564.8516 | 50332.9225 | 24126.599 |
7 | 132.81 | 275.14 | 17638.4961 | 75702.0196 | 36541.3434 |
8 | 118.95 | 252.53 | 14149.1025 | 63771.4009 | 30038.4435 |
9 | 128.33 | 260.73 | 16468.5889 | 67980.1329 | 33459.4809 |
10 | 138.85 | 268.63 | 19279.3225 | 72162.0769 | 37299.2755 |
Σ | 1244.52 | 2574.51 | 156214.2738 | 666600.4129 | 322289.4499 |
A) Give the equation of the least squares regression line. (Round to three decimal places)
B) Compute the sample mean and standard deviation for
the Average Daily Sales variable (Round to two decimal
places)
C) Find and interpret the value of r². (Round to three decimal places)
D) If the fruit stand spends $129 on advertising in one month,
what is the expected average daily sales for that month? (Round
to two decimal places)
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