
The regression is linear when the curve of the regression is __________.
A.Straight line
B.Not a straight line
C.Concave to the origin
D.Convex to the origin
Answer
481.2k+ views
Hint: We know that a linear regression is where the relationships between variables can be described with a straight line and then we will use the result as a linear regression equation that can be used to make predictions about data to find the required value.
Complete step-by-step answer:
We are given that the regression is linear when the curve of the regression.
We know that a linear regression is the most widely used statistical technique. It is a way to model a relationship between two sets of variables. The result is a linear regression equation that can be used to make predictions about data.
Also, most software packages and calculators can calculate linear regression using the graphing calculator, etc.
Before we try your calculations, we should always make a scatter plot to see if your data roughly fits a line, because regression will always give us an equation.
We should be familiar with plotting line graphs with one axis and one axis. The variable is sometimes called the independent variable and the Y variable is called the dependent variable. Simple linear regression plots one independent variable X against one dependent variable Y.
Technically, in regression analysis, the independent variable is usually called the predictor variable and the dependent variable is called the criterion variable. However, many people just call them the independent and dependent variables.
When more advanced regression techniques use multiple independent variables.
Regression analysis can result in linear or nonlinear graphs. A linear regression is where the relationships between your variables can be described with a straight line. Non-linear regressions produce curved lines.
Therefore, the regression is linear when the curve of the regression is straight.
Hence, option A is correct.
Note: We need to know that most software packages and calculators can calculate linear regression using the graphing calculator, etc. Also, we can find a linear regression by hand. One should know that linear means line. Computer programs almost always perform regression analyses, as the equations are extremely time-consuming to perform by hand.
Complete step-by-step answer:
We are given that the regression is linear when the curve of the regression.
We know that a linear regression is the most widely used statistical technique. It is a way to model a relationship between two sets of variables. The result is a linear regression equation that can be used to make predictions about data.
Also, most software packages and calculators can calculate linear regression using the graphing calculator, etc.
Before we try your calculations, we should always make a scatter plot to see if your data roughly fits a line, because regression will always give us an equation.
We should be familiar with plotting line graphs with one axis and one axis. The variable is sometimes called the independent variable and the Y variable is called the dependent variable. Simple linear regression plots one independent variable X against one dependent variable Y.
Technically, in regression analysis, the independent variable is usually called the predictor variable and the dependent variable is called the criterion variable. However, many people just call them the independent and dependent variables.
When more advanced regression techniques use multiple independent variables.
Regression analysis can result in linear or nonlinear graphs. A linear regression is where the relationships between your variables can be described with a straight line. Non-linear regressions produce curved lines.
Therefore, the regression is linear when the curve of the regression is straight.
Hence, option A is correct.
Note: We need to know that most software packages and calculators can calculate linear regression using the graphing calculator, etc. Also, we can find a linear regression by hand. One should know that linear means line. Computer programs almost always perform regression analyses, as the equations are extremely time-consuming to perform by hand.
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