# Complete parts (a) through (h) for the data below. x- 40, 50, 60, 70, 80 y-62,…

Complete parts (a) through (h) for the data below.

x- 40, 50, 60, 70, 80

y-62, 58, 55, 47, 33

B) Find the equation of the line containing the points (50, 58)

and (80, 33)

y=__x+(__)

D) By hand, determine the least-squares regression line

The equation of the least-squares regression line is given

by

ModifyingAbove y with caret equals b 1 x plus b 0y=b1x+b0

where b1 equals r times StartFraction s Subscript y Over s

Subscript x EndFractionb1=r•sysx

is the slope of the least-squares regression line and

b 0 equals y overbar minus b 1 x overbarb0=y−b1x

is the y-intercept of the least-squares regression line.

First find the correlation coefficient, r.

(f) Compute the sum of the squared residuals for the line found

in part (b).

The residual is given by the formula below.

Residual=observed y−predicted y=y−y^

(g) Compute the sum of the squared residuals for the

least-squares regression line found in part(d).

The residual is given by the formula below.

Residual=observed y−predicted y=y−ModifyingAbove y with

caret