Math Problem Statement
Solve this question
Solution
The least squares regression line of mass (in kg) on height (in cm) is given by the equation:
This equation describes how mass relates to height, with a slope of approximately kg per cm, and an intercept of approximately kg.
Would you like a breakdown of these steps or further clarifications?
Here are some related questions:
- How can we interpret the slope of the regression line?
- How is the y-intercept meaningful in this context?
- How would we calculate predicted mass for a height of 160 cm using this regression line?
- What is the significance of residuals in regression analysis?
- How do we assess the accuracy of this regression model?
Tip: The slope tells you how much the mass is expected to increase per unit increase in height.
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Math Problem Analysis
Mathematical Concepts
Statistics
Linear Regression
Least Squares Method
Formulas
y = mx + c (equation of a straight line)
m = Σ(x - x̄)(y - ȳ) / Σ(x - x̄)² (slope formula)
c = ȳ - m * x̄ (intercept formula)
Theorems
Least Squares Theorem
Suitable Grade Level
Grade 10-12
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