12. Regression

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?

The scatterplot below shows a set of data and its least-squares regression line. Based on the graph, which of the following is most likely the equation of the regression line?

Given a set of data points, the least squares regression line is calculated to best fit the data. Which of the following values is the most likely approximate slope of the line of best fit if the data shows a strong negative linear relationship?

Which of the following is true concerning linear regression using the least squares method?

Given the least squares regression equation $y^{^}=1.202+1.133x$, when $x=3$, what does $y^{^}$ equal?

A regional sales manager records data on the number of clients a salesperson contacts in a week (x) and the total sales generated that week (y). The data from 10 salespeople is shown below. Find the equation of the regression line and use it to predict sales if the salesperson contacts (a) 6 clients; (b) 40 clients

Given a linear regression equation of the form $y=a+bx$ with $b=3$ and $a=-6$, what is the predicted value of $y$ when $x=4$?