In: Statistics and Probability
13. 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 a=0.05. Is there sufficient evidence to conclude that there is a linear correlation between height and pulse rate?
height_(x) pulse_rate_(y)
61.2 75
67.8 73
60.1 88
60.1 64
59.3 71
60.9 70
59.5 83
60.8 65
67.8 67
59.9 70
67.9 84
62.8 79
60.4 71
63.4 66
58.1 70
60.4 65
66.4 77
60.2 74
67.1 81
61.5 78
What are the null and alternative hypotheses?
Construct the scatterplot.
The linear correlation coefficient r is _____
(Round to three decimal places as needed.)
The test statistic t is _____
(Round to three decimal places as needed.)
The P-value is ______
(Round to three decimal places as needed.)
Because the P-value is (greater,less) than the significance level 0.05, there (is not, is) sufficient evidence to support the claim that there is a linear correlation between selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold for a significance level of a=0.05.