Question

read the following description of a data set. mitch read in a science magazine that the frequency of cricket chirps varies according to outdoor temperature. he decided to test this by making several one - minute recordings of synchronized crickets near his house. he wrote down the outdoor temperature (in celsius), x, at the time of recording. afterward, he slowed down the recording to count the number of chirps, y, the crickets had made. the least squares regression line of this data set is: y = 1.972x + 93.003 how many cricket chirps per minute does this line predict when the temperature is 37.6 degrees celsius? round your answer to the nearest integer. cricket chirps

Explanation:

Step1: Substitute temperature value

Substitute $x = 37.6$ into $y=1.972x + 93.003$.
$y=1.972\times37.6+93.003$

Step2: Calculate multiplication part

$1.972\times37.6 = 74.1472$.
So $y=74.1472 + 93.003$.

Step3: Calculate addition part

$y=74.1472+93.003=167.1502$.

Step4: Round to nearest integer

Rounding $167.1502$ to the nearest integer gives $167$.

Answer:

$167$