The table presents the average weekly wages (in dollars) for state government employees and federal government employees over a span of 8 years. The given regression line equation is $\hat{y} = 1.405x - 12.307$.| Average Weekly Wages (state), $x$ | 751 | 760 | 791 | 817 | 835 | 881 | 924 | 951 ||-------------------------------------|-----|-----|-----|-----|-----|-----|-----|-----|| Average Weekly Wages (federal), $y$| 1002 | 1047 | 1115 | 1149 | 1195 | 1250 | 1269 | 1300 |**Tasks:**(a) Find the coefficient of determination ($r^2$) and interpret the result.$r^2 = \_\_\_\_$

Given, The average weekly wages for state government and federal government,

The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y =1.405x – 12.307. Complete parts (a) and (b) below Average Weekly Wages (state), x Average Weekly Wages (federal), y 751 760 791 817 835 881 924 951 1002 1047 1115 1149 1195 1250 1269 1300 (a) Find the coefficient of determination and interpret the result.

The table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y =1.405x – 12.307. Complete parts (a) and (b) below Average Weekly Wages (state), x Average Weekly Wages (federal), y 751 760 791 817 835 881 924 951 1002 1047 1115 1149 1195 1250 1269 1300 (a) Find the coefficient of determination and interpret the result.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

The table presents the average weekly wages (in dollars) for state government employees and federal government employees over a span of 8 years. The given regression line equation is $\hat{y} = 1.405x - 12.307$.

| Average Weekly Wages (state), $x$ | 751 | 760 | 791 | 817 | 835 | 881 | 924 | 951 |
|-------------------------------------|-----|-----|-----|-----|-----|-----|-----|-----|
| Average Weekly Wages (federal), $y$| 1002 | 1047 | 1115 | 1149 | 1195 | 1250 | 1269 | 1300 |

**Tasks:**

(a) Find the coefficient of determination ($r^2$) and interpret the result.

$r^2 = \_\_\_\_$

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