Consider the following linear relationship Y = Bo + BiX + E: Y is the adults' weekly number of hours spent watching TV, and X is a person's age beyond 18 years. Number of observations n=25, Sy=-4434, SS»-5512, SS„=6840, E Xx = 475, and EY = 700 a.Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation. b.Interpret the slope parameter. Is there a meaningful interpretation for the intercept parameter? Explain c. Calculate SSE, R2, and the standard error of the residuals (S). Interpret the R.

Consider the following linear relationship Y = Bo + BiX + E: Y is the adults' weekly number of hours spent watching TV, and X is a person's age beyond 18 years. Number of observations n=25, Sy=-4434, SS»-5512, SS„=6840, E Xx = 475, and EY = 700 a.Estimate the unknown parameters using the method of OLS and find the least-squares prediction equation. b.Interpret the slope parameter. Is there a meaningful interpretation for the intercept parameter? Explain c. Calculate SSE, R2, and the standard error of the residuals (S). Interpret the R.

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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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

Consider the following linear relationship Y = Bo + BiX + ɛ: Y is the adults' weekly number of
hours spent watching TV, and X is a person's age beyond 18 years.
Number of observations n=25, Sy=-4434, S.„=5512, SS,=6840, E X = 475, and EY = 700
a.Estimate the unknown parameters using the method of OLS and find the least-squares prediction
equation.
b.Interpret the slope parameter. Is there a meaningful interpretation for the intercept parameter? Explain.
c. Calculate SSE, R2, and the standard error of the residuals (S). Interpret the R.
d. Predict the average number of hours spent watching TV for people who are 35 years old (Xp=17).
Construct and interpret a 90% confidence interval for your prediction.
e. Calculate the coefficient of correlation and explain how it is different from R.

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