Math Problem Statement

Match them

Match the given graphs with the corresponding linear regression equations.

Solution

It seems like you have a set of graphs with linear regression lines and equations, and you're looking to match the equations with the corresponding graphs. Let's go over each graph to see which equation fits best.

Here’s a brief analysis of the graphs based on their appearance:

  • Graph A: The line has a slight negative slope. The equation suggests that it’s a decreasing function with a small negative slope.
  • Graph B: This one looks like an increasing line with a moderate positive slope, which matches an equation with a relatively higher positive slope.
  • Graph C: This one also has an increasing trend but with a less steep positive slope.
  • Graph D: The line has a steep negative slope, so the equation with a higher negative slope likely matches this.
  • Graph E: The slope appears slightly negative, but the overall trend isn't as steep as Graph D.
  • Graph F: This graph shows a mild negative slope, so an equation with a smaller negative slope should fit here.

Based on these observations, here’s my match suggestion:

  • Graph A: y = 2.00x + 9.72 (slight negative slope)
  • Graph B: y = 2.83x - 8.79 (moderate positive slope)
  • Graph C: y = 1.53x + 2 (gentler positive slope)
  • Graph D: y = -3.28x + 208.85 (steep negative slope)
  • Graph E: y = -0.53x + 122.57 (mild negative slope)
  • Graph F: y = -3.14x + 20.76 (mild negative slope)

Would you like any further analysis or clarification on these matches?

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Residual Analysis
Slope and Intercept

Formulas

y = mx + b, where m is the slope and b is the y-intercept

Theorems

Least Squares Regression Line

Suitable Grade Level

Grades 9-12