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 $23,209 $23,116 $25,184 $26,694 $30,819 $30,450 $28,938 10 15 20 25 30 (a) Find the equation of the regression line. (Round regression line parameters to two decimal places.) I(t) -

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
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Please answer parts a and c.

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
$23,209
$23,116
5
10
$25,184
15
$26,694
20
$30,819
$30,450
$28,938
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
40 000
40 000-
40 000
30 000-
30 000
-
30 000
30 000-
20 000-
20 000
20 000
20 000
10 000-
10 000
10 000
10 000
10
20
30
40
50
t
50
10
20
30
40
50
10
20
30
40
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
x dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by $
x each year.
Enter a number.
(d) During which year since 1990 was income much lower than would be expected from the regression model?
O 1995
O 2000
O 2005
O 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 $23,209 $23,116 5 10 $25,184 15 $26,694 20 $30,819 $30,450 $28,938 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 40 000 40 000- 40 000 30 000- 30 000 - 30 000 30 000- 20 000- 20 000 20 000 20 000 10 000- 10 000 10 000 10 000 10 20 30 40 50 t 50 10 20 30 40 50 10 20 30 40 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 x dollars per year. The slope means that, from 1980 on, the average annual income (adjusted for inflation) grew by $ x each year. Enter a number. (d) During which year since 1990 was income much lower than would be expected from the regression model? O 1995 O 2000 O 2005 O 2010
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