Answered: Test to determine if there is a…

Test to determine if there is a significant negative relationship between the independent and dependent variables at alpha= .05

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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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

Use the following results obtained from a simple linear regression analysis with 12 observations.

Y = 37.2895- (1.2024)X

Sb = 0.2934

Test to determine if there is a significant negative relationship between the independent and dependent variables at alpha= .05. Give the resulting conclusion.

a. is rejected.

B.cannot be tested with the given information.

c. is not rejected.

D. is not an appropriate null hypothesis for this situation.

Definition Definition Statistical method that estimates the relationship between a dependent variable and one or more independent variables. In regression analysis, dependent variables are called outcome variables and independent variables are called predictors.

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