An instructor gives the same y vs. x data as given below to four students and asks themto regress the data with least squares regression to y= a, + a,x .X 1 10 | 20 30y 1 100 400 600 1200They each come up with four different answers for the straight-line regression model. Only40one is correct. The correct model isSelect one:Оа. у-60х-1200O b. y=30x-200Oc.1+22.782xO d. y=-139.43+29.684x

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Answered: least squares regression to y=a,

Math

Advanced Math

least squares regression to y=a,

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 34EQ

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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

An instructor gives the same y vs. x data as given below to four students and asks them
to regress the data with least squares regression to y= a, + a,x .
X 1 10 | 20 30
y 1 100 400 600 1200
They each come up with four different answers for the straight-line regression model. Only
40
one is correct. The correct model is
Select one:
Оа. у-60х-1200
O b. y=30x-200
Oc.
1+22.782x
O d. y=-139.43+29.684x

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