Calculate the estimated multiple linear regressionequation for the following data using themultiplication in deviation formΣΥ-67, ΣΧ23 ΣΧ, 40 Σx=105, EX = 294 £X¡Y = 290,%3DΣΧΧ 173, ΣΧ,Υ = 488 , ΣΥ2815, n = 7EX,X2%3D(b) Obtain the ANOVA table and test thehypothesis that there is no association betweeneither Regressor and the dependent variable. using0.01 level of significance, use F (tabulated value) =18.00

Regression measures linear relationship between independent variables(explanatory variable) and…

Calculate the estimated multiple linear regression equation for the following data using the multiplication in deviation form ΣΥ-67, ΣΧ23 ΣΧ, -40 Σx 105, ΣΧ= 294 ΣΧΥ = 290, EX1X2 = 173, EX2Y %D %D %3D %| = 488, EY? = 815, n = 7 %3D

Calculate the estimated multiple linear regression equation for the following data using the multiplication in deviation form ΣΥ-67, ΣΧ23 ΣΧ, -40 Σx 105, ΣΧ= 294 ΣΧΥ = 290, EX1X2 = 173, EX2Y %D %D %3D %| = 488, EY? = 815, n = 7 %3D

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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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

Calculate the estimated multiple linear regression
equation for the following data using the
multiplication in deviation form
ΣΥ-67, ΣΧ23 ΣΧ, 40 Σx=
105, EX = 294 £X¡Y = 290,
%3D
ΣΧΧ 173, ΣΧ,Υ = 488 , ΣΥ2815, n = 7
EX,X2
%3D
(b) Obtain the ANOVA table and test the
hypothesis that there is no association between
either Regressor and the dependent variable. using
0.01 level of significance, use F (tabulated value) =
18.00

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