Question

Consider the following table containing unemployment rates for a 10-year period.

Unemployment RatesYear Unemployment Rate (%) 1 9.2 2 5.1 3 4.1 4 6.4 5 7.4 6 9.3 7 8.2 8 7.9 9 11.3 10 10.6

2 of 2 : What is the coefficient of determination for the regression model? Round your answers to two decimal places.

Answer 1

X	Y	XY	X^2	Y^2
1	9.2	9.2	1	84.64
2	5.1	10.2	4	26.01
3	4.1	12.3	9	16.81
4	6.4	25.6	16	40.96
5	7.4	37	25	54.76
6	9.3	55.8	36	86.49
7	8.2	57.4	49	67.24
8	7.9	63.2	64	62.41
9	11.3	101.7	81	127.69
10	10.6	106	100	112.36

From the above table and formula we get the value are as:

n	10
sum(XY)	478.40
sum(X)	55.00
sum(Y)	79.50
sum(X^2)	385.00
sum(Y^2)	679.37
Numerator	411.50
Denominator	624.98
r	0.6584
r square	0.4335

coefficient of determination for the regression model = 0.43