Question

The data below shows height? (in inches) and pulse rates? (in beats per? minute) of a...

The data below shows height? (in inches) and pulse rates? (in beats per? minute) of a random sample of women. Construct a? scatterplot, find the value of the linear correlation coefficient? r, and find the? P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between height and pulse? rate?

height_(x)   pulse_rate_(y)
65.8   78
66.6   74
63.9   86
64.5   63
60.3   74
65.7   65
61.6   81
65.4   62
67.9   70
63.1   69
67.6   80
66.1   76
58.9   69
59.8   64
59.6   68
60.8   67
66.7   84
58.2   74
65.6   76
63.4   80

Answer the following question with the info above.

what is The linear correlation coefficient r ?

what is The test statistic t ?

what is The? P-value ?

Is there sufficient evidence to conclude that there is a linear correlation between the two? variables?

A.Yes?, because the? P-value is lessthan the significance level.

B.No, because the? P-value is greater than the significance level.

C.Yes?, because the? P-value is greater than the significance level.

D.No?, because the? P-value is less than the significance level.

Homework Answers

Answer #1

a) The Correlation Coefficient

The value of linear corrrelation coefficient r = 0.2405

b) Hypothesis Testing

Null Hypothesis

Alternative Hypothesis

Under H0, the test statistic is

Degrees of freedom = n-2=20-2=18

c) The P-Value is 0.3072

d) Answer: B.No, because the? P-value is greater than the significance level. Fail to Reject H0. hence thereis no linear correlation between X and Y.

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