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Solved: In (a).By hand, draw a scatter diagram treating x

Chapter 3, Problem 9AYU

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QUESTION:

Problem 9AYU

In Problems

(a).By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable

(b)Select two points from the scatter diagram and find the equation of the line containing the points selected.

(c)Graph the line found in part (b) on the scatter diagram.

(d)By hand, determine the least-squares regression line.

(e)Graph the least-squares regression line on the scatter diagram.

(f )Compute the sum of the squared residuals for the line found in part (b).

(g)Compute the sum of the squared residuals for the least-squares regression line found in part (d).

(h)Comment on the fit of the line found in part (b) versus the least-squares regression line found in part (d).

x

-2

-1

0

1

2

y

-4

0

1

4

5

Questions & Answers

QUESTION:

Problem 9AYU

In Problems

(a).By hand, draw a scatter diagram treating x as the explanatory variable and y as the response variable

(b)Select two points from the scatter diagram and find the equation of the line containing the points selected.

(c)Graph the line found in part (b) on the scatter diagram.

(d)By hand, determine the least-squares regression line.

(e)Graph the least-squares regression line on the scatter diagram.

(f )Compute the sum of the squared residuals for the line found in part (b).

(g)Compute the sum of the squared residuals for the least-squares regression line found in part (d).

(h)Comment on the fit of the line found in part (b) versus the least-squares regression line found in part (d).

x

-2

-1

0

1

2

y

-4

0

1

4

5

ANSWER:

Answer:

Step 1

x

-2

-1

0

1

2

y

-4

0

1

4

5

a)

   

b)

 The slope of the line containing the given points  = (-2, -4) and = (1, 0) is

   =

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