Question

question 12 (multiple choice worth 1 points)
(linear functions fit to data lc)

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 gpa 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.

Explanation:

Identify the slope and y-intercept

$$
LATEXBLOCK0
$$

Interpret the parameters

$$
LATEXBLOCK1
$$

Match with options

$$ \text{Option 4: Slope is } -0.1\text{, starting at } 3.9\text{, GPA decreases by } 0.1\text{ per text.} $$

Answer:

• (A) The slope is 3.9. Starting at 0.1, the GPA will increase by 3.9 for every text sent in class.
• (B) The slope is 3.9. Starting at 0.1, the GPA will decrease by 3.9 for every text sent in class.
• (C) The slope is -0.1. Starting at 3.9, the GPA will increase by 0.1 for every text sent in class.
• (D) The slope is -0.1. Starting at 3.9, the GPA will decrease by 0.1 for every text sent in class. (Correct answer)