What is the difference between regression and correlation?

Find the coefficients of the regression line to two decimals unless otherwise noted. Display the scatter plot and find the regression line for the points (12.7, 18.0), (9.5, 17.1), (15.3, 14.5), and (19.1, 12.2). Display the graph of the regression line on the scatter plot.

Find the coefficients of the regression line to two decimals unless otherwise noted. Display the scatter plot and find the regression line for the points (10, 12), (11, 15), (12, 14), (13, 16), and (14, 18). (a) Display the graph of the regression line on the scatter plot. (b) Set the window so the x-range includes 20 and find the point on the regression line for x=20.

Find the coefficients of the regression line to two decimals unless otherwise noted. Display the scatter plot and find the regression line for the points (4, 8), (5, 7.5), (7, 6), and (9, 3.5). Display the graph of the regression line on the scatter plot.

Based on the regression output seen in the earlier exercise, create a 95% confidence interval for the slope of the regression line and interpret your interval in context.

The main difference between simple and multiple regression is ____________.

List two limitations of simple regression.

$b(1)$ is (Select one):

$a$. the $y$-intercept of the estimated regression equation

$b$. the slope of the estimated regression equation

$c$. always a positive number

$d$. none of the above

Identify one use of a regression equation.

Referring to Problem 14.82, instead of predicting the unit density, you now wish to predict the foam diameter from results stored in . Develop a multiple regression model that uses die temperature and die diameter to predict the foam diameter (mg/ml). Be sure to perform a thorough residual analysis. Do you think that you need to use both independent variables in the model? Explain.

Refer back to the regression equation in exercise $12.12$ : Credits $=15.4-.07$ Work. (a) Calculate the residual for the $x, y$ pair $(14,18)$. Did the regression equation underestimate or overestimate the credits? (b) Calculate the residual for the $x, y$ pair $(30,6)$. Did the regression equation underestimate or overestimate the credits?

In Exercise given below, use the regression capabilities of a graphing utility or a spreadsheet to find the least squares regression line for the given points.

$$(1,0),(3,3),(5,6)$$

In a simple linear regression, the following sample regression equation is obtained:

$$\hat{y}=436-17 x \text {. }$$

a. Interpret the slope coefficient.

b. Predict $y$ if $x$ equals $-15$.

What is the regression equation for predicting $y$ from $x$?