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

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 alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between height and pulse rate? The linear correlation coefficient r is 0.142. (Round to three decimal places as needed.) The test statistic is 0.609. (Round to three decimal places as needed.) The P - value is (Round to three decimal places as needed.)

Explanation / Answer

a) r =0.142036

b) n = 20

TS = r=(n-2)/sqrt(1 -r^2) = 0.142036 *sqrt( (20-2))/sqrt(1-0.142036^2) =

=0.60877

c)

df =n-2 = 18

p-value = 2 P(t > 0.60877)

=2*0.2751= 0.5502

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SUMMARY OUTPUT Regression Statistics Multiple R 0.142036 R Square 0.020174 Adjusted R Square -0.03426 Standard Error 6.936098 Observations 20 ANOVA df SS MS F Significance F Regression 1 17.82991 17.82991 0.370611 0.550278 Residual 18 865.9701 48.10945 Total 19 883.8 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 56.47992 27.34472 2.065478 0.053584 -0.9692 113.929 -0.9692 113.929 height 0.262436 0.431086 0.608779 0.550278 -0.64324 1.168115 -0.64324 1.168115

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