Given the following multiple regression equation: ˆy=54+19x1−6x2y^=54+19x1-6x2 Select the direction of change in y and enter a positive integer in the answer box. a) If x1x1 increases by 1 unit while holding x2x2 constant, then yy Select an answer increases decreases by units on average. b) If x2x2 increases by 1 unit while holding x1x1 constant, then yy Select an answer increases decreases by units on average.
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.
Given the following multiple regression equation:
ˆy=54+19x1−6x2y^=54+19x1-6x2
Select the direction of change in y and enter a positive integer in the answer box.
a) If x1x1 increases by 1 unit while holding x2x2 constant, then yy Select an answer increases decreases by units on average.
b) If x2x2 increases by 1 unit while holding x1x1 constant, then yy Select an answer increases decreases by units on average.
From the given information,
Consider, the provided regression line is-
Thus,
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