Use the following linear regression equation to answer the questions. x3 = −15.4 + 4.0x1 + 8.2x4 − 1.2x (a) Which variables are the explanatory variables? (Select all that apply.) x4 x3 x7 x1 (b) Which number is the constant term? List the coefficients with their corresponding explanatory variables. constant x1 coefficient x4 coefficient x7 coefficient (c) If x1 = 9, x4 = -5, and x7 = 4, what is the predicted value for x3? (Round your answer to one decimal place.)x3 =
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.
Use the following linear regression equation to answer the questions.
(b) Which number is the constant term? List the coefficients with their corresponding explanatory variables.
| constant | |
| x1 coefficient | |
| x4 coefficient | |
| x7 coefficient |
(c) If x1 = 9, x4 = -5, and x7 = 4, what is the predicted value for x3? (Round your answer to one decimal place.)
x3 =
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