a student believes there is a correlation between the number of texts sent during class and gpa. the student…

a student believes there is a correlation between the number of texts sent during class and gpa. the student collected data and found that the line of fit can be modeled by the equation $hat{y}=3.9 - 0.1x$. identify and interpret the slope in this scenario. the slope is 3.9. starting at 0.1, the gpa will increase by 3.9 for every text sent in class. the slope is 3.9. starting at 0.1, the gp will decrease by 3.9 for every text sent in class. the slope is -0.1. starting at 3.9, the gpa will increase by 0.1 for every text sent in class. the slope is -0.1. starting at 3.9, the gpa will decrease by 0.1 for every text sent in class.

a student believes there is a correlation between the number of texts sent during class and gpa. the student collected data and found that the line of fit can be modeled by the equation $hat{y}=3.9 - 0.1x$. identify and interpret the slope in this scenario. the slope is 3.9. starting at 0.1, the gpa will increase by 3.9 for every text sent in class. the slope is 3.9. starting at 0.1, the gp will decrease by 3.9 for every text sent in class. the slope is -0.1. starting at 3.9, the gpa will increase by 0.1 for every text sent in class. the slope is -0.1. starting at 3.9, the gpa will decrease by 0.1 for every text sent in class.

Answer

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the given equation $\hat{y}=3.9 - 0.1x= - 0.1x+3.9$, the coefficient of $x$ is the slope.

Step2: Interpret the slope

The slope $m=-0.1$. When $x$ (number of texts sent in class) increases by 1, $\hat{y}$ (GPA) changes by the value of the slope. Since the slope is negative, starting at the y - intercept value of 3.9, the GPA will decrease by 0.1 for every text sent in class.

Answer:

The slope is -0.1. Starting at 3.9, the GPA will decrease by 0.1 for every text sent in class.