Liz's math test included a survey question asking how many hours students spent studying for the test. The scatter plot below shows the relationship between how many hours students spent studying and their score on the test. A line was fit to the data to model the relationship.

Complete question :

Liz's math test included a survey question asking how many hours students spent studying for the test. The scatterplot and regression line below show the relationship between how many hours students spent studying and their score on the test.

The fitted line has a slope of 15.

What is the best interpretation of this slope?

C.)

The model predicts that the score will increase 15 points for each additional hour of study time.

Step-by-step explanation:

The slope of a regression line represents the rate of change :

From the formula :

Rise / Run = (y2 - y1) / (x2 - x1).

The slope is a Coefficient which shows how much the dependent variable changes per unit change in the independent variable.

Hence, for a slope value of +15, which is positive, meaning an increase ; then the score obtained will increase by 15 per additional unit increase in hour of study.

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)