Question

jeffreys landscape architecture firm won a contract to design a new public playground in seville. to decide how many swings to include, jeffrey collected information about other playgrounds in the city. for each playground, he recorded the area (in square meters), ( x ), and the number of swings, ( y ). the least squares regression line of this data set is: ( y = 0.108x + 3.896 ) how many swings does this line predict a 14.46 square meter playground would have? round your answer to the nearest integer.

Explanation:

Step1: Substitute x=14.46 into regression line

$y=0.108\times14.46 + 3.896$

Step2: Calculate the product term

$0.108\times14.46=1.56168$

Step3: Sum to find y value

$y=1.56168 + 3.896=5.45768$

Step4: Round to nearest integer

$y\approx5$

Answer:

5