Question 1

Linear regression always gives a linear function with positive slope.

Accepted Answer

Linear regression can produce linear functions with either positive, negative, or zero slope, depending on the relationship between the independent and dependent variables.

Question 2

The slope of the regression line gives an estimate of the rate of change of the data being modeled.

Accepted Answer

The slope of the regression line represents the estimated rate of change in the dependent variable for a one-unit change in the independent variable, thus giving an estimate of the rate of change of the data being modeled.

Question 3

If the regression line does not fit data points exactly, then it should not be used as a model.

Accepted Answer

A regression line is a statistical tool used to predict the relationship between variables, and it does not need to fit the data points exactly to be useful. It is designed to minimize the distance between the data points and the line, providing a general trend rather than an exact match.

Question 4

It may be appropriate to model data using linear regression if the data points nearly fall on a straight line.

Accepted Answer

Linear regression is suitable for modeling the relationship between two variables when the data points approximately align along a straight line, indicating a linear relationship.

Question 5

The regression line always gives an exact model for data.

Accepted Answer

The regression line is a statistical tool used to predict the relationship between variables, but it does not always provide an exact model due to potential variability in the data and the presence of outliers.

Deck 14: Linear Regression