Answered: For the following data: Y 1 5 2 10 9. 3…

For the following data: Y 1 5 2 10 9. 3 12 11 4 13 Find the regression equation for predicting Y from X. ΣΧ SSx ΣΥ ΣΧΥ SP Calculate the Pearson correlation for these data. SSY

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.4: Linear Regression

Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

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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

For the following data:
Y
1
5
2
10
9.
3
12
11
4
13
Find the regression equation for predicting Y from X.
ΣΧ
SSx
ΣΥ
ΣΧΥ
SP
Calculate the Pearson correlation for these data.
SSY

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