The relationship between weight (in kilograms) and gender was estimated as below in a linear format. (Male was coded as 0 and Female was coded as 1.) Weight = -10.23 * Female + 66.73 (The p-value for the coefficient of Female is 0.03.) Base on the above equation, which of the following statements are true? (Select all that apply. There can be more than one answer below.) In the sample used to estimate the equation, the average weight of females is 66.23 kilograms In the sample used to estimate the equation, the average weight of females is 56.5 kilograms In the sample used to estimate the equation, the average weight of males is 66.73 kilograms Females are expected to weigh 10.23 kilograms less than males
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.
The relationship between weight (in kilograms) and gender was estimated as below in a linear format.
(Male was coded as 0 and Female was coded as 1.)
Weight = -10.23 * Female + 66.73
(The p-value for the coefficient of Female is 0.03.)
Base on the above equation, which of the following statements are true? (Select all that apply. There can be more than one answer below.)
- In the sample used to estimate the equation, the average weight of females is 66.23 kilograms
- In the sample used to estimate the equation, the average weight of females is 56.5 kilograms
- In the sample used to estimate the equation, the average weight of males is 66.73 kilograms
- Females are expected to weigh 10.23 kilograms less than males
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