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Multiple choice📘 S.ID.C.7🧠 DOK 4
Question:
A researcher is studying the relationship between the number of hours students study and their resulting test scores. She creates a linear model to predict test scores based on study hours, given by the equation: , where is the test score and is the number of hours studied. What do the slope and y-intercept of the model represent in this context?
Answer Choices:
- A) A) The slope represents the test score a student starts with, and the y-intercept represents how much the score increases per hour of study.
- B) B) The slope represents the increase in test score per additional hour of study, and the y-intercept represents the base test score when no hours are studied.
- C) C) The slope represents the total test score after studying, and the y-intercept represents the score decrease without study.
- D) D) The slope represents the decrease in test score per hour of study, and the y-intercept represents the maximum possible test score.
✅ Answer:
B) The slope represents the increase in test score per additional hour of study, and the y-intercept represents the base test score when no hours are studied.
💡 Explanation:
In the equation , the slope 2.5 represents the increase in the test score for each additional hour of study.
The y-intercept 65 represents the test score when no hours are studied, meaning it is the baseline score.
Standard: S.ID.C.7 | DOK: 4