Question

Current Age and Age First Diagnosed

1. What is the correlation coefficient (rounded to two decimal places) between Current Age and the Age First Diagnosed?

2. Is the relationship between Current Age and Age First Diagnosed positive or negative?

3. Is the relationship between Current Age and Age First Diagnosed weak, moderate, or strong?

Current Age	Age First Diagnosed
39	25
38	30
38	32
51	29
53	45
49	32
36	18
44	22
42	40
54	21
46	23
47	19
44	36
43	19
34	22
15	14
32	18
18	17
49	33
16	14
52	25
28	12
40	38
40	25
41	35
15	12
18	15
18	18
16	13

Answer 1

1.

The given data is,

the intermediate calculations are,

the final calculations are,

Result Details & Calculation

X Values

∑ = 1056

Mean = 36.414

∑(X - Mx)2 = SSx = 4673.034

Y Values

∑ = 702

Mean = 24.207

∑(Y - My)2 = SSy = 2344.759

X and Y Combined

N = 29

∑(X - Mx)(Y - My) = 2236.517

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 2236.517 / √((4673.034)(2344.759))

= 0.6757

2.

The relationship between Current Age and Age First Diagnosed is positive.

3.

The relationship between Current Age and Age First Diagnosed is moderate.