Question

​

x	y
2	4
3	7
4	8
6	16
7	19

(b) Find the equation of the line containing the points ​(2​,4​) and ​(7​,19​).

(d) By​ hand, determine the​ least-squares regression line (​Round to three decimal places as​ needed).

(f) Compute the sum of the squared residuals for the line found in part​ (b) /(​Round to three decimal places as​ needed).

​(g) Compute the sum of the squared residuals for the​ least-squares regression line found in part​ (d). / (​Round to three decimal places as​ needed).

Please provide simple guidance straight forward guidance.

Answer 1

using the first equation and m=3, we get

x	y	predicted y using part b) y=3x-2	Residual (e) (part b)
2	4	3*2-2=4	4-4=0
3	7	3*3-2=7	7-7=0
4	8	3*4-2=10	8-10=-2
6	16	3*6-2=16	16-16=0
7	19	3*7-2=19	19-19=0

x	y	predicted y using part d) y=3.047x-2.605	Residual (e) (part d)
2	4	3.047*2-2.605=3.488	4-3.488=0.512
3	7	3.047*3-2.605=6.535	7-6.535=0.465
4	8	3.047*4-2.605=9.581	8-9.581=-1.581
6	16	3.047*6-2.605=15.674	16-15.674=0.326
7	19	3.047*7-2.605=18.721	19-18.721=0.279