Vehicle Horsepower Gas Mileage
A 310 10
B 285 13
C 127 29
D 194 21
E 205 20
F 190 15
G 210 23
H 170 22
Find the correlation between horsepower and miles per gallon. equals r=
Solution:
Given that,
X | Y | XY | X^2 | Y^2 |
310 | 10 | 3100 | 96100 | 100 |
285 | 13 | 3705 | 81225 | 169 |
127 | 29 | 3683 | 16129 | 841 |
194 | 21 | 4074 | 37636 | 441 |
205 | 20 | 4100 | 42025 | 400 |
190 | 15 | 2850 | 36100 | 225 |
210 | 23 | 4830 | 44100 | 529 |
170 | 22 | 3740 | 28900 | 484 |
n | 8 |
sum(XY) | 30082.00 |
sum(X) | 1691.00 |
sum(Y) | 153.00 |
sum(X^2) | 382215.00 |
sum(Y^2) | 3189.00 |
Numerator | -18067.00 |
Denominator | 20418.05 |
r | -0.8849 |
r square | 0.7830 |
Xbar(mean) | 211.3750 |
Ybar(mean) | 19.1250 |
SD(X) | 61.5921 |
SD(Y) | 6.2183 |
b | -0.0911 |
a | 38.3892 |
Correlation coefficient r = -0.8849
The correlation between horsepower and miles per gallon. r = -8849.
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