Math Problem Statement
Solution
We are given the regression equation , and we are asked to find the value of when .
Let's substitute into the equation and solve for :
First, calculate :
Now, add to :
So, the value of is , which corresponds to option D.
Would you like more details or have any further questions? Here are some related questions to deepen your understanding:
- What is the general form of a linear regression equation?
- How do you interpret the coefficients in a linear regression model?
- How would you solve for if the equation was and ?
- What is the significance of the constant term in the equation?
- Can you explain how the slope of affects the relationship between and ?
Tip: When solving linear equations, always check if both terms are correctly multiplied and added to avoid errors in calculations.
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Math Problem Analysis
Mathematical Concepts
Linear regression
Substitution
Formulas
x = 3y + 6.35
Theorems
-
Suitable Grade Level
Grades 9-12
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