Data on 13 randomly selected athletes was obtained concerning their cardiovascul

Question

Data on 13 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 = 87 -2.2*Treadmill

intercept |87=est|.87=std. error

Treadmill|-2.2 = est|2.895=std. error

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

a) The test statistic is___? -.7599

b)The p-value is between ____ and ____?

Data on 13 randomly selected athletes was obtained concerning their cardiovascular fitpess (measured by time to exhaustion ruaning on a treadmill) and performance in a 20-km ski race. Both variables were measured in minutes and a regression analysis was performed ski-87-2.2*Treadmill oefficients Estiimate Std. Erro Interuepl) readmill 0.87 89 Ts there sufficient evidence to conclude tha there is a lincar relstionship between crdiular fiesand ski re perlimnce? Ibe test statistic is 759 Preview' The p-value is between Atthe 5% significance evel. we do not o , wi emall hypothesis and conc ude t there is nun en , vendence to conclude that t e els n near relations ip ber een c d ovas unr tries and skin cepere mance. andi

Explanation / Answer

For the test statistic of -0.7599, the p-value would be +/-0.462501. For n-1=12 degrees of freedom we get the p-value to be +/-0.462501. Hence, this is greater than the alpha level of 0.05 and hence we cannot reject the null hypothesis. Thus, there is insufficient evidence to conclude that there is a linear relationship between two variables.

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