Question

Violet has recorded the age and odometer readings for a sample of 8 vehicles. XX(Age in...

Violet has recorded the age and odometer readings for a sample of 8 vehicles.

XX(Age in years) 2 5 7 8 9 10 12 15
YY(Odometer in km) 25 000 68 900 46 000 112 800 115 000 162 500 137 700 248 000


Compute the observed value of the test statistic for determining whether there is a linear relationship using the slope of the regression line. Choose the closest answer. You may use the following facts about the data:

s2x≈16.2857,   s2y≈5 064 212 679,   sxy≈266 592.8571

Math   Statistics-And-Probability   
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Answer #1

correlation coefficient r= Sxy/(√Sxx*Syy) = 0.9292
Observed value of test statistics t= r*(√(n-2)/(1-r2))= 6.159
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