The following table shows the average annual income in a certain country, adjusted for inflation, for the given year. t years since 1980 I annual income 0 $23,109 5 $23,216 10 $25,384 15 $26,694 20 $30,719 25 30 $30,450 $28,738 (a) Find the equation of the regression line. (Round regression line parameters to two decimal places.) I(t)- (b) Plot the data along with the regression line. 40 000 30 000 20 000 10 000 40 000 40 000 40 000 30 000 30 000 30 000 20 000 10000 t 10 20 30 40 50 10 20 30 40 50 20000 10000 20 000 10000 10 20 30 40 50 10 20 30 40 50 (c) Explain in practical terms the meaning of the slope of the regression equation. (Round your answers to two decimal places.) The slope of the regression line is dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by $ each year. (d) During which year since 1990 was income much lower than would be expected from the regression model?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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The following table shows the average annual Income in a certain country, adjusted for inflation, for the given year.
t years since 1980 I annual income
0
$23,109
5
$23,216
10
$25,384
15
$26,694
20
$30,719
$30,450
$28,738
25
30
(a) Find the equation of the regression line. (Round regression line parameters to two decimal places.)
I(t)=
(b) Plot the data along with the regression line.
I
40 000
30 000
20 000
10 000
10
20
30
40
50
I
40 000
40 000
40 000
30 000
30 000
30 000
20 000
10000
20000
10000
20 000
10000
10
20
30
40
50 O
10
20
30
40
50
10
20
30
40
50
(c) Explain in practical terms the meaning of the slope of the regression equation. (Round your answers to two decimal places.)
The slope of the regression line is
dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by $
each year.
(d) During which year since 1990 was income much lower than would be expected from the regression model?
O 1995
© 2000
O 2005
2010
Transcribed Image Text:The following table shows the average annual Income in a certain country, adjusted for inflation, for the given year. t years since 1980 I annual income 0 $23,109 5 $23,216 10 $25,384 15 $26,694 20 $30,719 $30,450 $28,738 25 30 (a) Find the equation of the regression line. (Round regression line parameters to two decimal places.) I(t)= (b) Plot the data along with the regression line. I 40 000 30 000 20 000 10 000 10 20 30 40 50 I 40 000 40 000 40 000 30 000 30 000 30 000 20 000 10000 20000 10000 20 000 10000 10 20 30 40 50 O 10 20 30 40 50 10 20 30 40 50 (c) Explain in practical terms the meaning of the slope of the regression equation. (Round your answers to two decimal places.) The slope of the regression line is dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by $ each year. (d) During which year since 1990 was income much lower than would be expected from the regression model? O 1995 © 2000 O 2005 2010
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