Question

1. Find the equation based on your best fit line. HINT: To find the estimated equation, pick two points on the line and plug into y-y1=mx-x1. If you need assistance with this, I’ve included the links to two Khan Academy videos into the folder. Show your work.   Write your equation in the form, y=a+bx.

X             y

992 , 155

2316 , 263     

532 , 163

493 , 246

2560 , 311

1823 , 336

745 , 143

4589 , 954

1354 , 203

906 , 173

Answer 1

Solution:

	X	Y	XY	X^2	Y^2
	992	155	153760	984064	24025
	2316	263	609108	5363856	69169
	532	163	86716	283024	26569
	493	246	121278	243049	60516
	2560	311	796160	6553600	96721
	1823	336	612528	3323329	112896
	745	143	106535	555025	20449
	4589	954	4377906	21058921	910116
	1354	203	274862	1833316	41209
	906	173	156738	820836	29929
SUM	16310	2947	7295591	41019020	1391599

Slope b is given by

Putting values

b = 0.1726

Now , y intercept of the line is

   a = 13.1228

The equation of the regression line is

= a + bx

=  13.1228 + 0.1726 x