YearAverage Poverty Threshold (in $)

1965 3022

1970 3223

1975 3968

1980 5500

1985 8414

A.) Find a model for this data

B.) Estimate the average poverty threshold for a family of four in 1990

C.) Give a reasonable Domain and Range

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- Aug 16th 2008, 04:17 PM #1

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## Sorry! This one...thanks

**Year****Average Poverty Threshold (in $)**

1965 3022

1970 3223

1975 3968

1980 5500

1985 8414

A.) Find a model for this data

B.) Estimate the average poverty threshold for a family of four in 1990

C.) Give a reasonable Domain and Range

- Aug 16th 2008, 04:31 PM #2

- Aug 16th 2008, 04:45 PM #3

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Graph a scatter plot of your data. Let x-axis be the year and y-axis the $

Plots looks to be quadratic.

$\displaystyle 17.75142857x^2-69856.92286x+68729694.4=0$ with a coefficient of determination to be**.9964**

Estimate the average poverty threshold for a family of four in 1990:**$11,850.20**

This regression was done on a TI-84+

- Aug 17th 2008, 02:18 PM #4

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- Aug 17th 2008, 02:36 PM #5

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What tools do you have at your disposal?

**Galactus**said he used**Excel**from Microsoft Office. I've never used**Excel**for that before. Maybe**Galactus**can elaborate.

Of course, the long way would be the algebraic, paper, pencil way.

I used a TI-84+ calculator to plot the data. I observed the data seemed to follow a parabolic curve. I performed a quadratic regression analysis to find the best quadratic equation that would best fit the curve. The equation I produced had a coefficient of determination of .9964. The closer this number is to 1, the better. This means the curve produced by my equation is pretty accurate.

- Aug 17th 2008, 02:44 PM #6

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