Question

Math

Posted 5 months ago

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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
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Answer from Sia

Posted 5 months ago

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).

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