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

Chapter 4, Problem 11E

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QUESTION:

Problem 11E

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

20

30

40

50

60

y

100

95

91

83

70

Questions & Answers

QUESTION:

Problem 11E

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

20

30

40

50

60

y

100

95

91

83

70

ANSWER:

Answer

Step 1 of 8

(a)

We are asked to draw a scatter diagram by hand treating  as the explanatory variable and  as the response variable.

x

20

30

40

50

60

y

100

95

91

83

70


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