Question

Question 3 Determine the equation of the regression line for the following data, and compute the residuals. x 15 9 20 11 4 y 48 35 55 44 18 Do not round the intermediate values. (Round your answers to 3 decimal places.) Do not round the intermediate values. (Round your answers to 3 decimal places.) x y Residuals 15 48 9 35 20 55 11 44 4 18

Answer 1

SOLUTION:

From given data,

Question 3 Determine the equation of the regression line for the following data, and compute the residuals. x 15 9 20 11 4 y 48 35 55 44 18.Do not round the intermediate values. (Round your answers to 3 decimal places.) x y Residuals 15 48 9 35 20 55 11 44 4 18.

		*
15	48	720	225	2304
9	35	315	81	1225
20	55	1100	400	3025
11	44	484	121	1936
4	18	72	16	324
= 59	=200	* = 2691	= 843	= 8814

Least Squares Regression Equation : = + ()

=( n * * - ()() ) / n* - ()²

=(5 * (2691)- (59)(200) ) / 5*(843) - (59)²

=(13455- 11800 ) / (4215 -3481)

= 1655 / 734

= 2.2547

Slope term = = 2.2547

= -

= /n  - ( /n)

= 200/5  - 2.2547( 59 /5)

= 13.3945

Least Squares Regression equation

= 13.3945 + 2.2547 ()

A residual is given by :

= -

			= -
15	48	47.215	0.785
9	35	33.6868	1.313
20	55	58.4885	-3.488
11	44	38.1962	5.803
4	18	22.4133	-4.413