Math Problem Statement

Use a graphing utility to find the line of best fit for the following data. x 2 3 3 4 5 6 y 9 12 13 15 16 20 Question content area bottom Part 1 The equation of the line of best fit is yequals

enter your response herexplus

enter your response here.Type integers or decimals rounded to four decimal places as​ needed.

Solution

The equation of the line of best fit is:

y=2.5077x+4.5538y = 2.5077x + 4.5538

Would you like any additional details or explanations on how the line of best fit was calculated?

Here are some related questions to deepen your understanding:

  1. How is the line of best fit useful in predicting future values?
  2. What does the slope of the line represent in this context?
  3. Can you explain what the y-intercept means for this dataset?
  4. How would the equation change if we added more data points?
  5. What is the significance of the R2R^2 value in linear regression?

Tip: The slope of a line indicates how much the dependent variable (y) changes with a unit increase in the independent variable (x).

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Line of Best Fit
Algebra

Formulas

y = mx + b (equation of a line)
Least Squares Method

Theorems

Linear Regression Theorem
Least Squares Regression

Suitable Grade Level

Grades 10-12