3-2 Mid-Chapter Flashcard B

Front

What does LSRL stand for in statistics?

Back

LSRL stands for Least Squares Regression Line, which is a method used to find the best-fitting line through a set of data points.

Front

How do you interpret the slope of a regression line?

Back

The slope of a regression line indicates the change in the dependent variable for each one-unit increase in the independent variable.

Front

In the equation 'predicted score = 93.98 - 4.07(time)', what does the number 93.98 represent?

Back

The number 93.98 represents the y-intercept of the regression line, which is the predicted score when the time spent online is zero.

Front

What does a negative slope indicate in a regression analysis?

Back

A negative slope indicates that as the independent variable increases, the dependent variable tends to decrease.

Front

What is the significance of the independent variable in a regression equation?

Back

The independent variable is the variable that is manipulated or changed to observe its effect on the dependent variable.

Front

What is the dependent variable in the context of the provided regression equation?

Back

The dependent variable is the test score, which is predicted based on the hours spent online.

Front

How can you determine the strength of a linear relationship between two variables?

Back

The strength of a linear relationship can be determined using the correlation coefficient, which ranges from -1 to 1.

Front

What does it mean if the correlation coefficient is close to -1?

Back

If the correlation coefficient is close to -1, it indicates a strong negative linear relationship between the two variables.

Front

What is the purpose of regression analysis?

Back

The purpose of regression analysis is to model the relationship between a dependent variable and one or more independent variables.

Front

What is the formula for calculating the slope of a regression line?

Back

The slope (m) can be calculated using the formula m = (NΣXY - ΣXΣY) / (NΣX^2 - (ΣX)^2), where N is the number of data points.