Math Problem Statement
Use the equation of the line of best fit, y = 3.78x + 16.88, to answer the questions below: (a) What is the predicted midterm score for a student who doesn't spend any time studying? (b) For an increase of one hour in the time spent studying, what is the predicted increase in the midterm score? (c) What is the predicted midterm score for a student who studies for 12 hours?
Solution
The equation of the line of best fit provided is:
where represents the predicted midterm score, and represents the number of hours spent studying.
Now, let’s go through the questions one by one:
(a) What is the predicted midterm score for a student
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Predictions from Graphs
Formulas
y = 3.78x + 16.88
Theorems
Linear Regression
Prediction from a Linear Model
Suitable Grade Level
Grades 9-11