Data represents square footage and rent... PLEASE HELP

Question

Table represents square footage and rent (per month)

sq footage x: 684, 760, 822, 796, 806, 899, 790

rent per month r: 1695, 1765, 1805, 1785, 1780, 1895, 1755

A) what sentence best describes the relation between square footage and rent?

1. linear equation
2. quadratic relation
3. no relation

B) based on response in part A, is there find either a linear or quadratic equation that describes the relation between square footage and rent.

C) use the equation from part B to predict rent with 750 sq ft is about?

thank you for your help!!

Answer 1

Hi, Arin,

Part A is best addressed with a graph of the points. I am unable to post the graph here, due to limited space. While I found some some scatter in the middle, the relationship best fits a linear equation.

We can find an equation by calculating the slope of the line, which is the "rise over the run." I'll pick two points for this: The slope between these two points: (648, 1695) and (822, 1895) is (822-648)/(1895-1695). This is 0.7968.

The linear equation becomes y = 0.7968x + b, where y is the rent and x is the square footage. b can be calculated by taking any of the points and solve for b. I get $1179, which would seem to say (actually it does say) that the rent for 0 ft^2 would be $1179. Our linear equation is only good for the domain for which we have data, and cannot be extended much outside this range without risk.

Using the equation, the predicted (calculated) values agree fairly well with the actual data. Use this equation to find x when y = $750.

Bob

Answer 2

Each wage has a different value $/size.

I figure the average is 2.24/sq/ft; so 2.24*750=$1680.