Complete parts (a) through (h) for the data below.x 20 30 4050 60 D50y80 75 7164(a) By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable. Choose the correct scatter diagram below.O A._^)7010+10(b) Find the equation of the line containing the points (30,75) and (60,50).y=x+(Type integers or simplified fractions.)(c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below.OA.A7010+NA)N.70+10+0(d) By hand, determine the least-squares regression line.IIX+(Round to three decimal places as needed.)(e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below.OA.IN1001.QQXQQG100Q(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.)(h) Comment on the fit of the line found in part (b) versus the least-squares regression line found in part (d).The line in part passes through the most points. The line in part ▼OB.100-ULDNEHN0-10OB.100-0410NGa✔OB.100Ay0+10the sum of the squared residuals, thus being the best-fitting line.70QGGDOC.THE70Ay10-10о с.Ay704K10+1070GQaOCA70-1040.●100QQ✔O D.Ay100-0-10OD.A Ay100-0-1070Qa

Given information: x y 20 80 30 75 40 71 50 64 60 50

Complete parts (a) through (h) for the data below 40 50 60-> (a) By hand, draw a scamer diagram treating x as the explanatory variable and y as the response variable. Choose the correct scatter diagram below. OA. * 70- (b) Find the equation of the line containing the points (30,75) and (60,50). (Type integers or simplified fractions.) (c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below. OA. rot Q Q (d) By hand, determine the least-squares regression line ŷ-x+ (Round to three decimal places as needed) A a (1) (e) Graph the least squares regression line on the scatter diagram. Choose the correct graph below. OA 70 Q Q G (1) 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.) (h) Comment on the fit of the line found in part (b) versus the least-squares regression line found in part (d). The line in part passes through the most points. The line in part OB 45 100- 10 OB 100 IN Q C OB. + 10 ++++ +++ - ==== ==== + E ▬▬▬▬▬▬▬▬ the sum of the squared residuals, thus being the best fitting line. Q C -CID OC AY 70- Ž 10 OC 70 3 C OC 201 OD. AY 100- 0 10 OD. 100- → H 10

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...