Question

The data below shows the high temperatures and the times​ (in minutes) runners who won a...

The data below shows the high temperatures and the times​ (in minutes) runners who won a marathon. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value using alphaα=0.05. Is there sufficient evidence to conclude that there is a linear correlation between temperature and winning​ times?

Temperature​ (x)

58

61

49

64

74

72

53

55

Time​ (y)

144.451

145.597

144.749

145.157

144.152

144.458

147.258

147.946

The linear correlation coefficient r is?

T stat?

P value?

Because the p-value is greater or lesser than the 0.05 significance level there is or isn't sufficient evidence?

Math   Statistics-And-Probability   
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Answer #1

Scatter plot is, using Ms-Excel-

Decision:- Here p value is greater than the given level of significance alpha=0.05. hence we accept the null hypothesis. since, There is insufficient evidence to conclude that there is a significant linear relationship between x and y because the correlation coefficient is NOT significantly different from zero.

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