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April 24th, 2012, 11:39 AM   #1
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line of best fit

Q.1.
A property developer is interested in determining the relationship between
family income (x, in 000s) of the local residents and the floor area of
their houses (y, in hundreds (00s) of square feet). The equation of the
regression line used to model this relationship is
y = 3.58+ 0.15x.
Choose the option that gives the estimated floor area (in 00s of square
feet) for a family income of 45 500.
i know i sub in 45500 but i am wondering should i divide by 1000? any one know
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April 24th, 2012, 11:47 AM   #2
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Re: line of best fit

Let , then compute y from the given linear equation and multiply the result by 100.

edit: Do not multiply the result by 100. I missed the part where the result is to be given in hundreds of square feet.
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April 24th, 2012, 11:56 AM   #3
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Re: line of best fit

thanks so y =10.41 then how do i do the second part

Choose the option that gives, to two decimal places, the estimated
increase in the floor area (in 00s of square feet) due to an increase of
family income from 45 500 to 52 000.

A 0.98 B 4.55 C 5.50
D 10.55 E 975.00 F 978.58

answer... am i correct in saying a
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April 24th, 2012, 12:01 PM   #4
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Re: line of best fit

The linear relation is given in slope-intercept form, so we have:



We are given that hence:



Yes a) is correct.
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April 24th, 2012, 12:05 PM   #5
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Re: line of best fit

do i have to divide this by a 1000 ass is lined to previous question...
so i get 0.975.. rounding to 2 decimal places i get 0.98??
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April 24th, 2012, 12:08 PM   #6
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Re: line of best fit

Yes, I previously edited my post. Sorry about that.
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April 24th, 2012, 12:11 PM   #7
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Re: line of best fit

great thanks a million.
i wasnt sure if i was to divide by 1000 or not.

Thanks MarkFL
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