An independent researcher is interested in studying the factors that affects the educational attainment of an individual (Y) For her study she chooses educational attainment of the individual's mother (X,) and the annual income of the individual's family (X,) as regressors. The researcher randomly selects a sample of 280 individuals and estimates the following regression function: Ý = 8.00 + 1.74X, +2.12X2. (0.76) (1.98) She wants to test whether or not a change in (X,) significantly affects (Y) keeping the annual income of the individual's family constant The t-statistic for testing the hypothesis Ho: B1 =0 vs. H: B, #0 will be (Round your answer to two decimal places.) If the researcher uses a 5% significance level, we the null hypothesis. She now includes the educational attainment of the individual's father (X2) as the third regressor in the regression equation. The newly estimated regression equation is: Ý = 8.51 + 0.83X, +2.01X2 +2.12X3 (2.20) (2.14) (1.57) With the revised estimates she again tests the hypothesis Ho: B1 =0 vs. H B, #0 keeping the annual income of the individual's family and the educational attainment of the individual's father constant. Enter your answer in each of the answer boxes.

An independent researcher is interested in studying the factors that affects the educational attainment of an individual (Y) For her study she chooses educational attainment of the individual's mother (X,) and the annual income of the individual's family (X,) as regressors. The researcher randomly selects a sample of 280 individuals and estimates the following regression function: Ý = 8.00 + 1.74X, +2.12X2. (0.76) (1.98) She wants to test whether or not a change in (X,) significantly affects (Y) keeping the annual income of the individual's family constant The t-statistic for testing the hypothesis Ho: B1 =0 vs. H: B, #0 will be (Round your answer to two decimal places.) If the researcher uses a 5% significance level, we the null hypothesis. She now includes the educational attainment of the individual's father (X2) as the third regressor in the regression equation. The newly estimated regression equation is: Ý = 8.51 + 0.83X, +2.01X2 +2.12X3 (2.20) (2.14) (1.57) With the revised estimates she again tests the hypothesis Ho: B1 =0 vs. H B, #0 keeping the annual income of the individual's family and the educational attainment of the individual's father constant. Enter your answer in each of the answer boxes.

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

100%

An independent researcher is interested in studying the factors that affects the educational attainment of an individual (Y). For her study she chooses educational
attainment of the individual's mother (X,) and the annual income of the individual's family (X,) as regressors. The researcher randomly selects a sample of 280 individuals
and estimates the following regression function:
Y = 8.00 + 1.74X, +2.12X2
(0.76)
(1.98)
She wants to test whether or not a change in (X,) significantly affects (Y) keeping the annual income of the individual's family constant.
The t-statistic for testing the hypothesis Ho: B1 = 0 vs. H1 B1 0 will be
(Round your answer to two decimal places.)
If the researcher uses a 5% significance level, we
the null hypothesis.
She now includes the educational attainment of the individual's father (X) as the third regressor in the regression equation.
The newly estimated regression equation is:
Y, = 8.51 + 0 83X, +2.01X2 + 2.12X3.
(2.20) (2.14) (1.57)
With the revised estimates she again tests the hypothesis Ho: B, = 0 vs. H, B, 0 keeping the annual income of the individual's family and the educational attainment of
the individual's father constant.
Enter your answer in each of the answer boxes.
(DeLL)

Help
(U.76)
(1.98)
She wants to test whether or not a change in (X,) significantly affects (Y) keeping the annual income of the individual's family constant.
The t-statistic for testing the hypothesis Ho B1 = 0 vs. H,. B, 70 will be
(Round your answer to two decimal places.)
If the researcher uses a 5% significance level, we
the null hypothesis
She now includes the educational attainment of the individual's father (X) as the third regressor in the regression equation.
The newly estimated regression equation is:
Ý = 8.51 + 0.83X, + 2 01X, + 2 12X3
(2.20) (2.14) (157)
%3D
With the revised estimates she again tests the hypothesis Ho: B, = 0 vs. H, B, ±0 keeping the annual income of the individual's family and the educational attainment of
the individual's father constant.
The t-statistic for the test the researcher wants to conduct will be
(Round your answer to two decimal places.)
the null hypothesis.
Based on the value of the test statistic at the 5% significance level, we
Enter your answer in each of the answer boxes.
W
DELL)

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