Question

Determine the equation of the regression line for the following data, and compute the residuals.

x 16 8 19 13 6

y 46 37 56 43 21

Do not round the intermediate values. (Round your answers to 3 decimal places.)

y^= ??? + ( ???)x

Do not round the intermediate values. (Round your answers to 3 decimal places.)

x	y	Residuals
16	46
8	37
19	56
13	43
6	21

Answer 1

solution,

X	Y	XY	X^2	Y^2
16	46	736	256	2116
8	37	296	64	1369
19	56	1064	361	3136
13	43	559	169	1849
6	21	126	36	441

n	5
sum(XY)	2781.00
sum(X)	62.00
sum(Y)	203.00
sum(X^2)	886.00
sum(Y^2)	8911.00
Numerator	1319.00
Denominator	1400.27
r	0.9420
r square	0.8873
Xbar(mean)	12.4000
Ybar(mean)	40.6000
SD(X)	4.8415
SD(Y)	11.5689
b	2.2509
a	12.6894

= a + bx

= 12.690 + 2.251x