4.A corporation imposes different price increases on its product in eight different regions of the country and measures over the next year changes in sales volume. The results are shown in the accompanying table. Change in 6 4 7 7 6 10 8 Price (Percentage) Change in 5.2 7.3 7.4 4.6 5.3 5.0 -1.0 2.9 Sales (Percentage) a. Find correlation coefficient between change in price and change in sales and test it whether it is statistically significant at 0.05 significance level. b. Determine which variable is dependent variable and which variable is independent variable based on the original variables, estimate the regression model and interpret the model. c. Run hypothesis testing at 0.05 significance level whether the regression coefficient bị is statistically significant or not. d. Calculate R2 value and interpret the result e.Predict the dependent variable value when independent variable is 4.8 and interpret the result.

4.A corporation imposes different price increases on its product in eight different regions of the country and measures over the next year changes in sales volume. The results are shown in the accompanying table. Change in 6 4 7 7 6 10 8 Price (Percentage) Change in 5.2 7.3 7.4 4.6 5.3 5.0 -1.0 2.9 Sales (Percentage) a. Find correlation coefficient between change in price and change in sales and test it whether it is statistically significant at 0.05 significance level. b. Determine which variable is dependent variable and which variable is independent variable based on the original variables, estimate the regression model and interpret the model. c. Run hypothesis testing at 0.05 significance level whether the regression coefficient bị is statistically significant or not. d. Calculate R2 value and interpret the result e.Predict the dependent variable value when independent variable is 4.8 and interpret the result.

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

4.A corporation imposes different price increases on its product in eight
different regions of the country and measures over the next year changes
in sales volume. The results are shown in the accompanying table.
Change
in 6
5
4
7
7
10
8
Price
(Percentage)
Change
in 5.2
7.3
7.4
4.6
5.3
5.0
-1.0
2.9
Sales
(Percentage)
a. Find correlation coefficient between change in price and change in sales
and test it whether it is statistically significant at 0.05 significance level.
b. Determine which variable is dependent variable and which variable is
independent variable based on the original variables, estimate the
regression model and interpret the model.
c. Run hypothesis testing at 0.05 signi
ance level whether the
egression
coefficient bị is statistically significant or not.
d. Calculate R2 value and interpret the result
e.Predict the dependent variable value when independent variable is 4.8
and interpret the result.

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