Question

question number 13. if the lsrl relating the independent variable x and the dependent variable y for a given problem is ŷ = 3x + 5, then an increase of 1 unit in x is associated with an increase of how many units in y? o 5 o 3 o 0 o 1 o 8

Explanation:

Step1: Analyze the linear - regression equation

The least - squares regression line (LSRL) is given by $\hat{y}=3x + 5$. This is in the form of a linear equation $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Understand the meaning of the slope

The slope $m$ in a linear equation represents the change in $y$ for a unit change in $x$. In the equation $\hat{y}=3x + 5$, the slope $m = 3$. So, when $x$ increases by 1 unit, $\hat{y}$ will increase by 3 units.

Answer:

3