Question

Assume X (Miles per hour) is going to be used to predict stopping distance (y) X            ...

Assume X (Miles per hour) is going to be used to predict stopping distance (y)

X                                           Y

                       10                                 30

                       20                                 40

40                                 60

56                                 86

60                                 90

65                                 110

                                     

  1. Find the CORRELATION between T and Y
Math   Statistics-And-Probability   
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Answer #1

Solution :

X Y XY X^2 Y^2
10 30 300 100 900
20 40 800 400 1600
40 60 2400 1600 3600
56 86 4816 3136 7396
60 90 5400 3600 8100
65 110 7150 4225 12100
n 6
sum(XY) 20866.00
sum(X) 251.00
sum(Y) 416.00
sum(X^2) 13061.00
sum(Y^2) 33696.00
Numerator 20780.00
Denominator 21152.51
r 0.9824
r square 0.9651
Xbar(mean) 41.8333
Ybar(mean) 69.3333
SD(X) 20.6593
SD(Y) 28.4410
b 1.3524
a 12.7569

r = 0.9824

The CORRELATION between X and Y is 0.9824

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