Top Hat Review

What does the following Residual by Predicted Plot indicate about the simple linear regression? Points on graph are scattered.

Validation of the homoscedasticity (constant variance) assumption

What does the following Residual by Predicted Plot indicate about the simple linear regression? Graph shape <

Violation of the Constant Variance Assumption

Use the correlation matrix to select the independent variable that has the strongest linear relationship with the dependent variable y.

x1, the number closest to 1.0000

What is the value of the constant variance?

0.1002 Error, Mean Square

What is the variability explained by the regression model?

10.652685 Model, Sum of Squares

What is the size of the sample for this regression analysis?

11 C. Total + 1

What is the variability that is not explained by the simple linear regression model?

2.805902 Error, Sum of Squares

Find the least squares point estimate for the slope. (Click on the center of the value)

24.60221 Copiers, Estimate

How many independent variables are in the multiple regression model?

4 Model, DF

Correlation among successive observations over time and identified by residual plots having clusters of residuals with the same sign. Can be evaluated more formally using a statistical test based on the measure, Durbin-Watson statistic.

Autocorrelation

Which of the following is the proportion of the total variation in the dependent variable y that is explained by the simple linear regression model?

Coefficient of Determination

Which of the following measures the dispersion, or scatter, of the observed values around the regression line for a given value of x?

Constant Variance

Which of the following measures the strength and direction of the linear relationship between two quantitative variables?

Correlation Coefficient

Which independent variable should be removed before fitting the updated multiple regression model?

DriveDist

Which of the following displays can we use to check the normality of errors assumption for linear regression models?

Histogram, Stem-and-Leaf, Normal Probability (Quantile) Plot

Which of the following is a mathematical procedure that uses the data to position a line with the objective of minimizing the sum of the squared vertical distances between the observed values of the dependent variable y and the predicted values of y?

Least Squares Principle

The scatter diagram indicates a violation of which of the following assumptions? Graph starts at zero and increases at a curve. There is one point on the graph that is slightly misplaced.

Linearity

A linear regression model with more than one independent variable.

Multiple Linear Regression Model

Observed errors which are the differences between the actual values and the estimated values of the dependent variable using the regression equation.

Residuals

The assumption that the variation about the regression line is constant for all values of the independent variable. The data is evaluated by examining the residual plot and looking for large differences in the variances at different values of the independent variable.

The different populations of potential error term values corresponding to different values of x have equal variances.