Question

Vehicle   Horsepower   Gas Mileage A 310 10 B 285   13 C 127   29 D 194   21...

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=

Homework Answers

Answer #1

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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