00:01
Hello students, in this question we have to determine which of the following are the true about the regression with one predictor variable and which is also called as the simple regression.
00:12
So, now here the first statement is the x variable is called the criterion variable and the y variable is called the predictor variable.
00:20
So, this is the incorrect statement first one is the incorrect and this is because we know that in the simple linear regression simple linear regression the x variable the x variable is called it is called the predictor variable which is also called as the independent variable and the y variable y variable is called the is called criterion variable which is the dependent variable.
01:22
So, therefore, the first statement is the incorrect then the second one is the slope describes the amount of change in the y for a unit increase in the x.
01:33
So, this is the true statement and this is because we know that in the simple linear regression the slope that is often denoted by beta 1.
01:44
So, we know the general line equation is y is equal to beta naught plus beta 1 into x.
01:51
So, here this beta 1 is nothing but the slope of the equation and this represents represents the average change the average change in the criterion variable that is in the y for for a one unit increase one unit increase in the predictor variable that is x...