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=4.4956x+11.0600y = 4.4956x + 11.0600

The slope is 4.49564.4956 and the y-intercept is 11.060011.0600, 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 would you interpret the y-intercept in this context?
  2. What does the slope indicate about the relationship between xx and yy in this data set?
  3. Can you calculate the predicted value of yy for x=100x = 100 using this line?
  4. How would you compute the R-squared value to assess the fit of this line?
  5. What impact do outliers have on the line of best fit in linear regression?

Tip: A positive slope in the line of best fit suggests that as xx increases, yy also increases, indicating a direct relationship between the variables.

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Statistics

Formulas

Equation of a line (y = mx + c)

Theorems

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Suitable Grade Level

Advanced High School / College