Develop the equation of the simple linear regression line for this data. Then, give a briefinterpretation of the values of the linear correlation coefficient, the intercept and theslope.Test the hypothesis that the slope would be positive at the 10% significance level byshowing your solution.Construct an 80% confidence interval for B. Interpret your answer. In an experiment, the independent variable is the percentage of hydrocarbons and the dependentvariable is the purity of oxygen produced in a chemical distillation process that are present inthe main condenser of the distillation unit. The simple linear regression and correlation analysisis performed in a sample of 9 observations. Results are as shown below:SSxx: 113.7356SSyy = 0.5156ууa = -4.2869b = 0.0648%3D

Answered: Develop the equation of the simple…

Develop the equation of the simple linear regression line for this data. Then, give a brief interpretation of the values of the linear correlation coefficient, the intercept and the slope.

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

Develop the equation of the simple linear regression line for this data. Then, give a brief
interpretation of the values of the linear correlation coefficient, the intercept and the
slope.
Test the hypothesis that the slope would be positive at the 10% significance level by
showing your solution.
Construct an 80% confidence interval for B. Interpret your answer.

In an experiment, the independent variable is the percentage of hydrocarbons and the dependent
variable is the purity of oxygen produced in a chemical distillation process that are present in
the main condenser of the distillation unit. The simple linear regression and correlation analysis
is performed in a sample of 9 observations. Results are as shown below:
SSxx
: 113.7356
SSyy = 0.5156
уу
a = -4.2869
b = 0.0648
%3D

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