Question

Is there a relationship between body fat and resting rate. Test at alpha =.05 test the significance of the relationship between body fat and resting rate using table I or the traditional five step method.

Participant	body fat	resting rate
A	41.2	1204
B	51.1	1346
C	34.5	1052
D	42.4	1125
E	33.1	913
F	40.3	1190
G	42	1256
H	50.6	1502
I	42	1420
J	48.5	1396
K	54.6	1425
L	36.1	995

Answer 1

We have to check Is there a relationship between body fat and resting rate.

The null and alternative hypothesis is

Level of significance = 0.05

Now we have to find a correlation coefficient between two variables.

n = 12

Formula is

Participant	body fat (x)	resting rate (y)	xy	x^2	y^2
A	41.2	1204	49604.8	1697.44	1449616
B	51.1	1346	68780.6	2611.21	1811716
C	34.5	1052	36294	1190.25	1106704
D	42.4	1125	47700	1797.76	1265625
E	33.1	913	30220.3	1095.61	833569
F	40.3	1190	47957	1624.09	1416100
G	42	1256	52752	1764	1577536
H	50.6	1502	76001.2	2560.36	2256004
I	42	1420	59640	1764	2016400
J	48.5	1396	67706	2352.25	1948816
K	54.6	1425	77805	2981.16	2030625
L	36.1	995	35919.5	1303.21	990025
Total	516.4	14824	650380	22741.34	18702736

Degrees of freedom = n - 2 = 12 - 2 = 10

Critical value = 0.576

r > critical value we reject null hypothesis.

Conclusion: Yes, there is a relationship between body fat and resting rate.