Based on the data shown below, calculate the correlation coefficient

Question

Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)

xy
5	23.85
6	27.26
7	28.57
8	32.88
9	35.79
10	35.4
11	38.81
12	43.22
13	44.53
14	49.54

Answer 1

If you're able to use a calculator on this problem,

1. Enter the x-values into L1 and y-values into L2
2. Press STAT
3. Press Edit...
4. Type x-values into L1
5. Type y-values into L2
6. Perform a linear regression
7. Press STAT
8. Go over to CALC
9. Press LinReg

Note: If an r value did not show up, you need to turn your diagnostic on

1. Press CATALOG (2nd 0)
2. Scroll down to DiagnosticOn
3. Press Enter
4. Re-run the linear regression: STAT, CALC, LinReg

If you did it correctly, your window should show:

a = -2.6833333

b = 10.4933333

r² = 0.981097

r = 0.990503

The problem asked to round to three decimal places, so r = 0.991