Question

Construct the equation of the regression line.

An editing firm compiled the following table which lists the number of pages contained in a piece of technical writing and the cost of proofreading and correcting them (in dollars). Assume there is a significant linear relationship between X and Y and construct the equation of the linear regression line.

Number of Pages, x	7	12	4	14	25	30
Cost, y	128	213	75	250	446	540

Question 8 options:

	yˆ=15.4(x)+7.1
	yˆ=7.1(x)+15.4
	yˆ=17.9(x)+1.6
	yˆ=1.6(x)+17

Answer 1

The table given below ,

	X	Y	X^2	XY
	7	128	49	896
	12	213	144	2556
	4	75	16	300
	14	250	196	3500
	25	446	625	11150
	30	540	900	16200
Sum	92	1652	1930	34602

The equation of linear regression line is ,

Where , 'a' be the intercept and 'b' be the slope

Now ,

Therefore ,