# Linear regression analysis for the response variable

The regression line is used to show how a response variable changes, o average, as an explanatory variable changes. You can use such a line to predict the value of the response variable for a particular value of the explanatory variable. the least-squares regression line, for the data given in the attachment is shown on the attached graph.

(a) Draw in the vertical distances from all points in the data set to the least squares line.

(b) How many data points lie above the line?

(c) How many data points lie below the line

(d) How can you tell from a sctterplot of the data, whether the slope of the regression line will be positive or negative?

© BrainMass Inc. brainmass.com June 3, 2020, 10:36 pm ad1c9bdddfhttps://brainmass.com/business/business-and-industry-analysis/linear-regression-analysis-response-variable-240321

#### Solution Preview

Linnear regression analysis

The regression line is used to show how a response variable changes, o average, as an explanatory variable changes. You can use such a line to predict the value of the response variable for a particular value of the explanatory ...

#### Solution Summary

The solution examines a linear regression analysis for vertical distances. The expert draws vertical distances from all points in the data to the least squares line.