14. Divorce Rate (x) and Burglary Rate (y) for 20 StatesCoefficientsR-Squared: .0031/ = .056DivorceInterceptStd. Error1.2812.3312.681614.24-0.19A) Interpret SlopeB) Interpret InterceptC) Interpret R-SquareD) Testing for SignificanceStep 1: State Your HypothesesHo:H1:Step 2: Select an appropriate test statistic and the sampling distribution of that test statistic (the probability distribution).Test statistic:Degrees of Freedom: Step 3. Based on the alpha level (.05), determine the critical value of your test statistic and the critical region of your probability distribution.Step 4. Calculate your test statistic and compare it to your critical value.Step 5. Make a decision about your null hypothesis and interpret your decision in a meaningful way based upon thel research question at hand.

Given Information: R-squared value is 0.0031 Correlation coefficient r=0.056 Slope is -12.68…

Answered: 14. Divorce Rate (x) and Burglary Rate…

14. Divorce Rate (x) and Burglary Rate (y) for 20 States Coefficients R-Squared: .0031/ = .056 Std. Error 1.28 12.33 Divorce 12.68 Intercept 614.24 -0.19

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

14. Divorce Rate (x) and Burglary Rate (y) for 20 States
Coefficients
R-Squared: .0031/ = .056
Divorce
Intercept
Std. Error
1.28
12.33
12.68
1
614.24
-0.19
A) Interpret Slope
B) Interpret Intercept
C) Interpret R-Square
D) Testing for Significance
Step 1: State Your Hypotheses
Ho:
H1:
Step 2: Select an appropriate test statistic and the sampling distribution of that t
est statistic (the probability distribution).
Test statistic:
Degrees of Freedom:

Step 3. Based on the alpha level (.05), determine the critical value of your test st
atistic and the critical region of your probability distribution.
Step 4. Calculate your test statistic and compare it to your critical value.
Step 5. Make a decision about your null hypothesis and interpret your decision i
n a meaningful way based upon thel research question at hand.

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