Chapter 10 -- Lecture Notes
Correlation and Regression
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Triola 10.2 #16
and 10.3 #16 |
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x |
y |
x^2 |
y^2 |
xy |
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data |
3175 |
27 |
10080625 |
729 |
85725 |
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3450 |
29 |
11902500 |
841 |
100050 |
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3225 |
27 |
10400625 |
729 |
87075 |
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3985 |
24 |
15880225 |
576 |
95640 |
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2440 |
37 |
5953600 |
1369 |
90280 |
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2500 |
34 |
6250000 |
1156 |
85000 |
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2290 |
37 |
5244100 |
1369 |
84730 |
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sums |
Σx |
Σy |
Σx^2 |
Σy^2 |
Σxy |
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21065 |
215 |
65711675 |
6769 |
628500 |
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n |
7 |
7 |
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x-bar, y-bar |
3009.285714 |
30.71429 |
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Sxx |
n*Σx^2-(Σx)^2 |
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16247500 |
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Syy |
n*Σy^2-(Σy)^2 |
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1158 |
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Sxy |
n*Σxy-(Σx)(Σy) |
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-129475 |
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r |
Sxy/sqrt(SxxSyy) |
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-0.94393 |
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CV, α=.05 |
pos or neg 0.754 |
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Reject Ho |
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slope, b1 |
Sxy / Sxx |
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-0.00797 |
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intercept b0 |
y-bar - b1 x-bar |
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54.69504 |
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equation |
y = b0 +b1 x |
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y = 54.7 -.00797x |
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