Complete parts (a) through (h) for the data below. 7 8. 12 3 4 4 9 14 (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. OA. В. O B. Oc. OD. Ay 10- AY 20- Ay 20- Ax 10- Q 10 10 10 (b) Find the equation of the line containing the points (3,4) and (8,14). y=x+ (O (Type integers or simplified fractions.) (c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below. O A. O B. OC. OD. Ay 20- Ay 10 Ay 20- 10- 0- 10 20 10 (d) By hand, determine the least-squares regression line. ý =x+ O (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. O A. O B. OC. Oc. OD. Ay 10- Ay 20- Ay 20- Ay 10- 10 (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).
Complete parts (a) through (h) for the data below. 7 8. 12 3 4 4 9 14 (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. OA. В. O B. Oc. OD. Ay 10- AY 20- Ay 20- Ax 10- Q 10 10 10 (b) Find the equation of the line containing the points (3,4) and (8,14). y=x+ (O (Type integers or simplified fractions.) (c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below. O A. O B. OC. OD. Ay 20- Ay 10 Ay 20- 10- 0- 10 20 10 (d) By hand, determine the least-squares regression line. ý =x+ O (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. O A. O B. OC. Oc. OD. Ay 10- Ay 20- Ay 20- Ay 10- 10 (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).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Complete parts (a) through (h) for the data below.
7
12
3
4
4
9
14
(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.
OA.
В.
O B.
Oc.
OD.
Ay
10-
Ay
20-
Ay
20-
Ax
10-
Q
10
10
10
(b) Find the equation of the line containing the points (3,4) and (8,14).
y=x+ (O
(Type integers or simplified fractions.)
(c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below.
O A.
O B.
В.
Oc.
OD.
Ay
20-
Ay
10-
Ay
10
Ay
20
Q
0-
10
10
(d) By hand, determine the least-squares regression line.
ý =x+ O
(Round to three decimal places as needed.)
(e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below.
O A.
в.
O B.
Oc.
OD.
Ay
10-
Ay
20-
Ay
20-
Ay
10-
Q
10
(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
V the sum of the squared residuals, thus being the best-fitting line.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdda07105-6c0d-411b-9881-d7cffef7fce9%2F2f5d9ebb-c8d8-433d-a3dd-d2a3db2cc96e%2F8x5zl5b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Complete parts (a) through (h) for the data below.
7
12
3
4
4
9
14
(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.
OA.
В.
O B.
Oc.
OD.
Ay
10-
Ay
20-
Ay
20-
Ax
10-
Q
10
10
10
(b) Find the equation of the line containing the points (3,4) and (8,14).
y=x+ (O
(Type integers or simplified fractions.)
(c) Graph the line found in part (b) on the scatter diagram. Choose the correct graph below.
O A.
O B.
В.
Oc.
OD.
Ay
20-
Ay
10-
Ay
10
Ay
20
Q
0-
10
10
(d) By hand, determine the least-squares regression line.
ý =x+ O
(Round to three decimal places as needed.)
(e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below.
O A.
в.
O B.
Oc.
OD.
Ay
10-
Ay
20-
Ay
20-
Ay
10-
Q
10
(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
V the sum of the squared residuals, thus being the best-fitting line.
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