How to find the least-squares regression line - AP Statistics
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In a regression analysis, the y-variable should be the ___________ variable, and the x-variable should be the ___________ variable.
In a regression analysis, the y-variable should be the ___________ variable, and the x-variable should be the ___________ variable.
Regression tests seek to determine one variable's ability to predict another variable. In this analysis, one variable is dependent (the one predicted), and the other is independent (the variable that predicts). Therefore, the dependent variable is the y-variable and the independent variable is the x-variable.
Regression tests seek to determine one variable's ability to predict another variable. In this analysis, one variable is dependent (the one predicted), and the other is independent (the variable that predicts). Therefore, the dependent variable is the y-variable and the independent variable is the x-variable.
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If a data set has a perfect negative linear correlation, has a slope of 
and an explanatory variable standard deviation of 
, what is the standard deviation of the response variable?
If a data set has a perfect negative linear correlation, has a slope of
The key here is to utilize
.
"Perfect negative linear correlation" means 
, while the rest of the problem indicates 
and 
. This enables us to solve for 
.
The key here is to utilize
"Perfect negative linear correlation" means
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A least-squares regression line has equation 
and a correlation of 
. It is also known that 
. What is 
A least-squares regression line has equation
Use the formula 
.
Plug in the given values for 
and 
and this becomes an algebra problem.
Use the formula
Plug in the given values for
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