The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender = 1 for males and O for females Regression Analysis: Height Versus Shoe Size, Gender Coefficients Term Coef SE Coef T-Value P-Value Constant 55.28 1.09 50.72 0.000 Shoe Size Gender 1.165 0.19 0.000 2.578 0.484 5.33 0.000 (a) Find the value of the test statistic for shoe size. (Round your answer to two decimal places.) (b) Is the regression coefficient of shoe size statistically significant? (Use a = 0.05.) The regression coefficient of shoe size -Select-- v statistically significant. (c) Does the variable shoe size belong in the model? The variable shoe size --Select-- v belong in the model. (d) Interpret the regression coefficient of Gender. (Round your answer to 3 decimal places). Males are inches taller than females, on average, controlling for shoe size.
The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender = 1 for males and O for females Regression Analysis: Height Versus Shoe Size, Gender Coefficients Term Coef SE Coef T-Value P-Value Constant 55.28 1.09 50.72 0.000 Shoe Size Gender 1.165 0.19 0.000 2.578 0.484 5.33 0.000 (a) Find the value of the test statistic for shoe size. (Round your answer to two decimal places.) (b) Is the regression coefficient of shoe size statistically significant? (Use a = 0.05.) The regression coefficient of shoe size -Select-- v statistically significant. (c) Does the variable shoe size belong in the model? The variable shoe size --Select-- v belong in the model. (d) Interpret the regression coefficient of Gender. (Round your answer to 3 decimal places). Males are inches taller than females, on average, controlling for shoe size.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 4SGR
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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
Transcribed Image Text:The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and gender, where gender = 1 for males and 0 for females.
Regression Analysis: Height Versus Shoe Size,
Gender
Coefficients
Term
Coef
SE Coef
T-Value
P-Value
Constant
55.28
1.09
50.72
0.000
Shoe Size
1.165
0.19
0.000
Gender
2.578
0.484
5.33
0.000
(a) Find the value of the test statistic for shoe size. (Round your answer to two decimal places.)
t =
(b) Is the regression coefficient of shoe size statistically significant? (Use a = 0.05.)
The regression coefficient of shoe size -Select-- v statistically significant.
(c) Does the variable shoe size belong in the model?
The variable shoe size --Select-- v belong in the model.
(d) Interpret the regression coefficient of Gender. (Round your answer to 3 decimal places).
Males are
inches taller than females, on average, controlling for shoe size.
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