Let x be per capita income in thousands of dollars. Let y be the number of medical doctors per 10,000 residents. Six small cities in Oregon gave the following information about x and y.
x | 8.2 | 9.2 | 10.2 | 8.0 | 8.3 | 8.7 |
y | 9.9 | 18.2 | 21.0 | 10.2 | 11.4 | 13.1 |
Complete parts (a) through (e), given Σx = 52.6, Σy = 83.8, Σx^{2} = 464.5, Σy^{2} = 1275.86, Σxy = 753.01, and r ≈ 0.974.
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Σx = | |
Σy = | |
Σx^{2} = | |
Σy^{2} = | |
Σxy = | |
r = |
x | = | |
y | = | |
= | + x |
r^{2} = | |
explained | % |
unexplained | % |
Hi, since the problem posted by you contains multiple sub-parts, we are answering the first three subparts. If you need any specific sub-part to be answered, please submit that particular sub-pat or specify the subpart number in the message box.
Part (a):
The scatter diagram, along with the best fitted line (least-squares regression line) for the data is as follows:
Part (b):
Here, x, x2, y, y2, and xy are the sums of X, X2 Y, Y2, and XY, respectively.
Using calculator, it is verified that:
x = (8.2 + 9.2 + 10.2 + 8 + 8.3 + 8.7) = 52.6.
x2 = (8.22 + 9.22 + 10.22 + 82 + 8.32 + 8.72) = 464.5.
y = (9.9+ 18.2 + 21.0 + 10.2 + 11.4 + 13.1) = 241.
y2 = (9.92 + 18.22 + 212 + 10.22 + 11.42 + 13.12) = 753.01.
xy = (8.2×9.9) + (9.2×18.2) + (10.2×21) + (8×10.2) + (8.3&ti...
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