Question

executives at a+ mart grocery stores would like to expand to the rapidly growing town of stafford. company analysts are trying to estimate future demand for grocery stores in stafford by looking at data from nearby cities. the analysts note the population of nearby cities (in thousands), x, and compare it to the number of grocery stores in each city, y. the least squares regression line of this data set is: y = 0.189x + 28.843. how many grocery stores does this line predict for a city with 113 thousand people? round your answer to the nearest integer. grocery stores

Explanation:

Step1: Identify the value of x

The population x is 113 thousand. So, $x = 113$.

Step2: Substitute x into the regression - line equation

The regression - line equation is $y=0.189x + 28.843$. Substitute $x = 113$ into it:
$y=0.189\times113+28.843$.
First, calculate $0.189\times113$:
$0.189\times113 = 0.189\times(100 + 10+3)=0.189\times100+0.189\times10 + 0.189\times3=18.9+1.89 + 0.567 = 21.357$.
Then, $y=21.357+28.843$.
$y = 50.2$.

Step3: Round to the nearest integer

Rounding 50.2 to the nearest integer gives 50.

Answer:

50