Question

1.For the following problem, find coefficient of correlation, coefficient of determination and least squares regression line. Inerperret your results.

x	1	2	3	4	5	6
y	4	3	2	9	15	28

Answer 1

X	Y	XY	X^2	Y^2
1	4	4	1	16
2	3	6	4	9
3	2	6	9	4
4	9	36	16	81
5	15	75	25	225
6	28	168	36	784

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

n	6
sum(XY)	295.00
sum(X)	21.00
sum(Y)	61.00
sum(X^2)	91.00
sum(Y^2)	1119.00
Numerator	489.00
Denominator	560.59
r	0.8723
r square	0.7609

b	4.6571
a	-6.1333

coefficient of correlation = 0.8723

coefficient of determination = 0.7609

Least square regression line y = a + bx

y = -6.1333 + 4.6571x