A researcher is interested in finding out the factors which determined the yearly spending on family outings last year (Y, measured in dollars) She compiles data on the number of members in a family (X,), the annual income of the family (X,), and the number of times the family went out on an outing in the last year (X2). She collects C from 152 families and estimates the following regression: Y= 120.45 + 1.12X, +2.12X, + 1.98X3- Suppose B4. ß2, B3, denote the population slope coefficients of X,, X2, and X3, respectively The researcher wants to check if neither X, nor X, have a significant effect on Y or at least one of them has a significant effect, keeping X, constant. She calculates the value of the F-statistic for the test with the two restrictions (Ho: B = 0, B, =0 vs. H,: B, #0 and/or B, #0) to be 3.00. The p-value for the test will be (Round your answer to two decimal places.) v the null hypothesis. At the 10% significance level, we will reject fail to reject Enter your answer in the answer box.

A researcher is interested in finding out the factors which determined the yearly spending on family outings last year (Y, measured in dollars) She compiles data on the number of members in a family (X,), the annual income of the family (X,), and the number of times the family went out on an outing in the last year (X2). She collects C from 152 families and estimates the following regression: Y= 120.45 + 1.12X, +2.12X, + 1.98X3- Suppose B4. ß2, B3, denote the population slope coefficients of X,, X2, and X3, respectively The researcher wants to check if neither X, nor X, have a significant effect on Y or at least one of them has a significant effect, keeping X, constant. She calculates the value of the F-statistic for the test with the two restrictions (Ho: B = 0, B, =0 vs. H,: B, #0 and/or B, #0) to be 3.00. The p-value for the test will be (Round your answer to two decimal places.) v the null hypothesis. At the 10% significance level, we will reject fail to reject Enter your answer in the answer box.

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%

A researcher is interested in finding out the factors which determined the yearly spending on family outings last year (Y, measured in dollars). She compiles data on the
number of members in a family (X,), the annual income of the family (X,), and the number of times the family went out on an outing in the last year (X). She collects data
from 152 families and estimates the following regression:
Y = 120.45 + 1.12X, + 2.12X2 + 1.98X3
Suppose B1. B2, B3, denote the population slope coefficients of X, X2, and X3, respectively
The researcher wants to check if neither X, nor X, have a significant effect on Y or at least one of them has a significant effect, keeping X3 constant. She calculates the
value of the F-statistic for the test with the two restrictions (Ho: B, = 0, B2 = 0 vs. H B, 0 and/or Bz 0) to be 3.00.
The p-value for the test will be
(Round your answer to two decimal places.)
At the 10% significance level, we will
the null hypothesis.
reject
fail to reject
Enter your answer in the answer box.
W
DELL

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