# You are given the following data points: a) Determine the regression equation. b) What is the...

## Question:

You are given the following data points:

x | -5 | -2 | 0 | 3 | 4 | 7 |
---|---|---|---|---|---|---|

y | 15 | 9 | 7 | 6 | 4 | 1 |

a) Determine the regression equation.

b) What is the predicted value of y for x = 5?

c) Compute and interpret the coefficient of determination.

## Regression Analysis

Regression analysis uses the technique of ordinary least squares to create an equation, which is the best fit of the data of the dependent and independent variables. Use the equation to make predictions.

## Answer and Explanation: 1

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The summary output for the Excel Regression tool at the bottom of the page;

** a. **

The regression equation is

{eq}y = 8.2425 - 1.0650x {/eq}. The...

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Chapter 21 / Lesson 4Regression analysis is used in graph analysis to help make informed predictions on a bunch of data. With examples, explore the definition of regression analysis and the importance of finding the best equation and using outliers when gathering data.

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