My Math Forum line of best fit

 April 24th, 2012, 10:39 AM #1 Member   Joined: Mar 2012 Posts: 32 Thanks: 0 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
 April 24th, 2012, 10:47 AM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: line of best fit Let $x=45.5$, 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.
 April 24th, 2012, 10:56 AM #3 Member   Joined: Mar 2012 Posts: 32 Thanks: 0 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
 April 24th, 2012, 11:01 AM #4 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: line of best fit The linear relation is given in slope-intercept form, so we have: $\frac{\Delta y}{\Delta x}=0.15\:\therefore\:\Delta y=0.15\Delta x$ We are given that $\Delta x=52-45.5=6.5$ hence: $\Delta y=0.15\cdot6.5=0.975\approx0.98$ Yes a) is correct.
 April 24th, 2012, 11:05 AM #5 Member   Joined: Mar 2012 Posts: 32 Thanks: 0 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??
 April 24th, 2012, 11:08 AM #6 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs Re: line of best fit Yes, I previously edited my post. Sorry about that.
 April 24th, 2012, 11:11 AM #7 Member   Joined: Mar 2012 Posts: 32 Thanks: 0 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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# equations of line of best feet

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