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jace's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. based on the line of best fit, how much time should someone study to expect a quiz score of 96?

2 Answers

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Final answer:

To determine the amount of time someone should study to expect a quiz score of 96, we can use the equation of the line of best fit. However, the equation is not provided, so we can only make a prediction based on the given information.

Step-by-step explanation:

The line of best fit in this case represents the relationship between the number of hours a student studies and their quiz scores. To determine how much time someone should study to expect a quiz score of 96, we can use the equation of the line of best fit. Let's say the equation is y = mx + b, where y represents the quiz score and x represents the number of hours studied.

From the given data, we don't have the equation of the line of best fit. However, we can still make a prediction based on the given information. If we assume that the line of best fit is a straight line, we can find the slope (m) and the y-intercept (b) from any two points on the line. Then we can substitute the x-value (number of hours studied) as the unknown and solve for y (quiz score).

Since we don't have the equation of the line, I'm unable to provide a specific answer for this problem. However, if you are given the equation of the line of best fit, you can substitute x = 96 into the equation and solve for y to find the expected quiz score.

User Mahesh Babariya
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Final answer:

To expect a quiz score of 96, someone should study approximately 8.39 hours.

Step-by-step explanation:

To predict the quiz score of 96, we can use the line of best fit equation. The equation provided is y = 72.5 + 2.8x, where y represents the quiz score and x represents the number of hours studied. We need to find the value of x when y is 96.

Substituting y = 96 into the equation, we have 96 = 72.5 + 2.8x. To isolate x, we subtract 72.5 from both sides to get 23.5 = 2.8x. Dividing both sides by 2.8, we find x = 8.39 hours.

Therefore, someone should study approximately 8.39 hours to expect a quiz score of 96.

User Dittimon
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