Question

read the following description of a data set. a european apparel company wants to know how many t - shirts it should make in each size. the company hired a telephone survey firm to contact members of its target demographic. the survey recorded the height of each person (in centimeters), x, and the number of t - shirts he or she owned, y. the least squares regression line of this data set is: y = 0.342x - 34.405 how many t - shirts does this line predict a person 149 centimeters tall would own? round your answer to the nearest integer. t - shirts

Explanation:

Step1: Substitute the height value

Substitute $x = 149$ into the regression - line equation $y=0.342x - 34.405$.
$y=0.342\times149 - 34.405$

Step2: Calculate the product

First, calculate $0.342\times149 = 50.958$.
$y = 50.958-34.405$

Step3: Calculate the difference

Then, calculate $50.958 - 34.405=16.553$.

Step4: Round to the nearest integer

Round $16.553$ to the nearest integer. Since the decimal part is $0.553\geq0.5$, we round up.
$y\approx17$

Answer:

17