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

ID: 3319645 • Letter: T

Question

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 = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between height and pulse rate? Full data set 67.5 69 66.1 60.2 67 59.2 82 62.3 62.9 65 60.2 81 65.2 61.4 65.4 72 64.2 60.1 75 58.9 73 60.3 height ( pulse rate (v) 63.1 79 62.9 67.4 82 62.5 64 60.6 71 58.2 73 height (x Ise rate 0 Construct a scatterplot. Choose the correct graph below OA. OC. 64 80 64 80 64 64 80 The linear correlation coefficient r is 0.074 (Round to three decimal places as needed.) The test statistic t is 0.315 (Round to three decimal places as needed.) The P-value is (Round to three decimal places as needed.)

Explanation / Answer

Degree of freedom = 20-2 = 18

For P value

Using excel function

P value = P(t<-0.315)+P(t>0.315)

P value = 2*(1-T.DIST(0.315,18,TRUE) =0.756

So, answer is 0.756

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