Lulu Hypermarket has a record showing data on sales per year (in thousands of rials) and advertisement (in hundreds of rials) for the last five years. The record gives the following details. ΣΧ132 EX? = 3,502 ΣΥ-96 EY² = 1,870 EXY = 2,553 a. Please develop the least squares estimated regression line. b. Using your regression line developed in Part a, predict the sales when advertisement is $3,000. At a = 0.05, determine if advertisement and sales are related (perform a t test).

Lulu Hypermarket has a record showing data on sales per year (in thousands of rials) and advertisement (in hundreds of rials) for the last five years. The record gives the following details. ΣΧ132 EX? = 3,502 ΣΥ-96 EY² = 1,870 EXY = 2,553 a. Please develop the least squares estimated regression line. b. Using your regression line developed in Part a, predict the sales when advertisement is $3,000. At a = 0.05, determine if advertisement and sales are related (perform a t test).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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

Lulu Hypermarket has a record showing data on sales per year (in thousands of rials) and
advertisement (in hundreds of rials) for the last five years. The record gives the
following details.
EX = 132
ΣΧ3,502
EY = 96
EY² = 1,870
ΣΧΥ-2,553
a. Please develop the least squares estimated regression line.
b. Using your regression line developed in Part a, predict the sales when
advertisement is $3,000.
c. At a = 0.05, determine if advertisement and sales are related (perform a t test).
d. Develop a 95% confidence interval for estimating the mean sale for those
years when advertisement was $3,000.
e. Compute the coefficient of determination.
||

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