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.

Which of the following is the best estimate of the average score change associated with a 1 hour increase in study time?

Choose 1 answer:
(A) 20 points
(B) 5 points
(C) 2 points
(D) 1 point

Question

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.

Which of the following is the best estimate of the average score change associated with a 1 hour increase in study time?

Choose 1 answer:
(A) 20 points
(B) 5 points
(C) 2 points
(D) 1 point

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To find the average score change associated with a 1 hour increase in study time, we look at the linear fit equation provided by the asksia-ll calculator. ‖ ‖ step 2 ⋮ The linear fit equation is $y = 20.1667x + 12.9167$. Here, $y$ represents the score and $x$ represents the study time in hours. ‖ ‖ step 3 ⋮ The coefficient of $x$ in the linear equation, which is $20.1667$, represents the average change in score for each additional hour spent studying. ‖ ‖ step 4 ⋮ Therefore, the best estimate of the average score change per hour is approximately 20 points. ‖ ∻[1] Answer∻ ⚹ (A) 20 points ⚹ ∻Key Concept∻ ⚹Linear Regression Slope⚹ ∻Explanation∻ ⚹The slope of the linear regression line represents the average change in the dependent variable (score) for each unit increase in the independent variable (study time).◊What is the formula to calculate the slope of the line of best fit for the scatter plot⍭ Generate me a similar question◊⚹

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