Question

A study of bone density on 5 random women at a hospital produced the following results.
Age 37 41 57 65 73
Bone Density 355 345 340 315 310
Step 1: Calculate the correlation coefficient, r. Round your answer to six decimal places.
Step 2: Determine if r is statistically significant at the 0.01 level.
Step 3: Calculate the coefficient of determination, r2. Round your answer to three decimal places.

Answer 1

Answer:

- 0.9503 ; r is not statistically significant ; 0.9031

Step-by-step explanation:

Given the following :

Age (X) :

37

41

57

65

73

Bone density (Y)

355

345

340

315

310

Using the pearson R value calculator :

The r value of the data % - 0.9503.

This value depicts a very strong negative correlation between age and density of bone.

Using the pearson R calculator to obtain the P- value, the P value obtained is .01332 and hence the r is not significant at P < 0.01.

The Coefficient of determination R^2 can be obtained by getting the square value of R

R^2 = - 0.9503^2

R^2 = 0.90307009

R^2 = 0.9031