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.

The equation of the line of best fit is:

\[ y = 2.5077x + 4.5538 \]

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 \( R^2 \) 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).

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. The equation of the line of best fit is y equals [blank] x plus [blank]. Type integers or decimals rounded to four decimal places as needed.

Find the equation of the line of best fit for the data points x: 2, 3, 3, 4, 5, 6 and y: 9, 12, 13, 15, 16, 20 using linear regression. This problem involves key concepts like the line of best fit, slope, and y-intercept, and provides a solution using the least squares method. Suitable for Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation