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 givenby
ModifyingAbove y with caret equals b 1 x plus b 0y=b1x+b0
where b1 equals r times StartFraction s Subscript y Over sSubscript 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 foundin 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 withcaret
