Data on 12 randomly selected athletes was obtained concerning their cardiovascul

Question

Data on 12 randomly selected athletes was obtained concerning their cardiovascular fitness (measured by time to exhaustion running on a treadmill) and performance in a 20-km ski race. Both variables were measured in minutes and a regression analysis was performed.

Ski = 86 -1.7*Treadmill

Is there sufficient evidence to conclude that there is a linear relationship between cardiovascular fitness and ski race performance?

The p-value is between _______________________

Please show your work in finding the p-value and do not just use software or excel to find it. Thanks!

Explanation / Answer

Here T statistic formula = Estimate of b1 / standad error of b1

Calculations

T = -1.7 / 2.267 = 0.75

p value = 2*p [T < -0.75] = 0.4689

here p value < 0.05, do not reject Null hypothesis

we conclude that there is no sufficient evidence to conclude that there is a linear relationship between cardiovascular fitness and ski race performance

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