Question

use the least squares regression line of this data set to predict a value. kurt is a professional dancer booked for a major event. although he has a rigorous practice schedule, he sometimes has to end a practice session when he begins to experience stiffness. he wonders if stretching more before starting a session will allow him to practice for a longer time. over the next few days kurt varies the number of minutes he stretches before the start of his session, x, and notes the number of minutes he can practice before experiencing stiffness, y. minutes spent stretching minutes spent practicing 1.13 203 7.18 197 7.32 257 14.45 231 17.73 239 22.42 288 24.37 272 the least squares regression line of this data set is: y = 3.099x + 199.114 how long of a practice session does this line predict if kurt spends 2.42 minutes stretching? round your answer to the nearest thousandth. minutes

Explanation:

Step1: Identify the regression equation

The equation is $y = 3.099x+199.114$.

Step2: Substitute the value of $x$

Substitute $x = 2.42$ into the equation: $y=3.099\times2.42 + 199.114$.

Step3: Calculate the value of $y$

First, calculate $3.099\times2.42=7.49958$. Then, $y=7.49958 + 199.114=206.61358$.

Step4: Round the result

Rounding $206.61358$ to the nearest thousandth gives $206.614$.

Answer:

$206.614$