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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Question
Complete parts (a) through (h) for the data below.
x 20 30 40
50 60 D
50
y
80 75 71
64
(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.
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70
10+
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.
A
70
10+
N
A)
N.
70+
10+
0
(d) By hand, determine the least-squares regression line.
II
X+
(Round to three decimal places as needed.)
(e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below.
OA.
IN
100
1.
Q
Q
X
Q
Q
G
100
Q
(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.
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DNE
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10
OB.
100-
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10
N
G
a
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the sum of the squared residuals, thus being the best-fitting line.
70
Q
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704
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Transcribed Image Text:Complete parts (a) through (h) for the data below. x 20 30 40 50 60 D 50 y 80 75 71 64 (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. _^) 70 10+ 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. A 70 10+ N A) N. 70+ 10+ 0 (d) By hand, determine the least-squares regression line. II X+ (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. OA. IN 100 1. Q Q X Q Q G 100 Q (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- UL DNE HN 0- 10 OB. 100- 04 10 N G a ✔ OB. 100 Ay 0+ 10 the sum of the squared residuals, thus being the best-fitting line. 70 Q G GD OC. THE 70 Ay 10- 10 о с. Ay 704 K 10+ 10 70 G Q a OC A 70- 104 0 . ● 100 Q Q ✔ O D. Ay 100- 0- 10 OD. A Ay 100- 0- 10 70 Q a
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