Deion owns a car wash and has noticed that his business fluctuates throughout the year. He is curious to know whether these fluctuations are related to changes in the local pigeon population.
Over several mornings, Deion counted the number of pigeons that were sitting on power lines in his neighborhood each day, x, and the number of car washes that were purchased during that day, y.
The least squares regression line of this data set is:
y = 6.323x – 67.373
How many car washes does this line predict for a day on which Deion counts 25 pigeons?
Round your answer to the nearest integer.
______ car washes
The predicted number of car washes for a day when Deion counts 25 pigeons can be calculated using the least squares regression line equation:
y = 6.323x - 67.373
y = 6.323(25) - 67.373
y = 158.075 - 67.373
y = 90.702
Rounded to the nearest integer, this line predicts 91 car washes for a day when Deion counts 25 pigeons.