Question

read the following description of a data set. fair - view college has an unprecedented number of chemistry majors this year. administrators dont know how many new chemistry professors to hire, so they are looking at data from other colleges. for each college, the administrators note the number of chemistry majors, x, and the number of chemistry professors, y. the least squares regression line of this data set is: y = 0.197x - 29.846 how many chemistry professors does this line predict at a college with 219 chemistry majors? round your answer to the nearest integer. chemistry professors

Explanation:

Step1: Identify the values

We are given the regression - line equation $y = 0.197x-29.846$ and $x = 219$.

Step2: Substitute the value of $x$

Substitute $x = 219$ into the equation $y=0.197x - 29.846$. So, $y=0.197\times219-29.846$.

Step3: Calculate the result

First, calculate $0.197\times219 = 43.143$. Then, $y=43.143 - 29.846=13.297$.

Step4: Round the result

Round $13.297$ to the nearest integer. Since the decimal part $0.297\lt0.5$, the rounded - off value is $13$.

Answer:

$13$