Question

court income	64.0	404.0	1568.0	1130.0	271.0	250.0	110.0	152.0	34.0
justice salary	31	44	93	57	46	62	26	27	19

Listed are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars.

The percent of variations in Justice Salary that can be explained by Court Income is, approximately = ______ (answer with a percent rounded to the hundredths decimal place)

Answer 1

Step 1: To find Correlation Coefficient r:

X	Y	XY	X2	Y2
64	31	1984	4096	961
404	44	17776	163216	1936
1568	93	145824	2458624	8649
1130	57	64410	1276900	3249
271	46	12466	73441	2116
250	62	15500	62500	3844
110	26	2860	12100	676
152	27	4104	23104	729
34	19	646	1156	361
Total =3983	405	265570	4075137	22521

Step 2:
Coefficient of Determination:
R² = 0.8662² = 0.7503

   = 75.03 %

So,

The percent of variations in Justic Salary that can be explained by Court Income is,approximately = 75.03 %