Question

interpret the least squares regression line of this data set. 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. the correct least squares regression line for the data set is: y = 3.099x + 199.114 use it to complete the following sentence: for each additional minute of stretching, the least squares regression line predicts he will be able to practice blank minutes longer.

Explanation:

Step1: Identify the slope of regression line

The equation of the regression line is $y = 3.099x+199.114$, where the slope is $3.099$.

Step2: Interpret the slope

In a linear - regression equation $y = mx + b$, the slope $m$ represents the change in $y$ for a one - unit change in $x$. Here, $x$ is the number of minutes of stretching and $y$ is the number of minutes of practicing.

Answer:

3.099