12. Regression

Which of the following is NOT true about simple linear regression using the least squares method?

Given a set of data points, which of the following equations represents the least squares regression line ($LSRL$) for predicting $y$ from $x$?

In regression analysis, which method is commonly used to estimate the parameters of a linear model by minimizing the sum of the squared differences between observed and predicted values?$min\left(\sum _{i=1}^n{(y_i-{ŷ}_i)}^2\right)$

Which of the following is not one of the purposes of a line of regression in linear regression using the least squares method ($\text{least squares}$)?

In linear regression using the least squares method, which expression can be simplified to find the slope of the trend line in the scatterplot?

In linear regression using the least squares method, which of the following equations best approximates the line of best fit for a set of data points $(x,y)$?

Given the least squares regression equation $y=a+bx$, what does the coefficient $b$ represent?

In linear regression using the least squares method, the line of best fit for a scatterplot always passes through which pair of points?

In linear regression using the least squares method, which formula correctly represents the slope of the line of best fit for a set of data points $(x,y)$?

In linear regression using the least squares method, what is the expected shape or equation of the calibration plot relating the dependent variable to the independent variable?

In linear regression, the least squares method minimizes which of the following quantities?

In a regression analysis using the least squares method, what is the primary objective when fitting a line to the data?