Question

read the following description of a data set. emmett 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, emmett 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 = 1.253x + 26.826. complete the following sentence: the least squares regression line from emmetts analysis predicts an increase of car washes for each additional pigeon he counts.

Explanation:

Step1: Identify the slope of regression line

The least - squares regression line is $y = 1.253x+26.826$. In a linear regression equation $y = mx + b$, the slope is $m$. Here, $m = 1.253$.

Step2: Interpret the slope

The slope represents the change in $y$ (number of car washes) for a one - unit change in $x$ (number of pigeons). So for each additional pigeon, the number of car washes increases by 1.253.

Answer:

1.253