Math Problem Statement

give me the answer to the line of best fit to 4 decimal places

Solution

The line of best fit for the given data points is:

y=3.2015x+173.8182y = -3.2015x + 173.8182

The slope is 3.2015-3.2015 and the y-intercept is 173.8182173.8182, both rounded to four decimal places.

Would you like more details or have any questions?

Here are five related questions you might consider:

  1. How do you calculate the correlation coefficient for these data points?
  2. What does the slope of the line represent in this context?
  3. How would you predict the value of yy for a new value of xx using this line?
  4. How does the goodness-of-fit (R-squared value) affect the reliability of the line of best fit?
  5. What are the residuals, and how would you calculate them for this line?

Tip: The slope of the line of best fit indicates the rate at which yy changes with respect to xx. A negative slope means that as xx increases, yy decreases.

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Line of Best Fit

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12