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 α=0.05 Is there sufficient evidence to conclude that there is a linear correlation between height and pulse​ rate?

							Full data set
height​ (x)	65.8	66.8	62.9	62.4	60.5	65.4	62.3	65.3	67.6	62.3
pulse rate​ (y)	7979	72	89	64	74	70	81	63	70	70
height​ (x)	67.4	66.1	63.4	63.1	61.4	63.8	69.4	58.6	73.8	61.5
pulse rate​ (y)	80	78	72	65	72	64	79	81	83	75

What are the null and alternative​ hypotheses?

The linear correlation coefficient r is

The test statistic t is

The​ P-value is

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

A. Yes​,because the​ P-value is greater than the significance level

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

C. No​, because the​ P-value is less than the significance level.

D. Yes​, because the​ P-value is less than the significance level.

Answer 1