Exam 12: Regression and Correlation

The following data on fertility rates were obtained from Eurostat on seven European countries in 2006.The covariance between the mean age at childbearing and the total fertility rate is -0.06.Using this information and the information provided in the table below,calculate the value of Pearson's correlation coefficient.

The coefficient of determination,r²,is a PRE measure.What does this mean?

SELECT ALL THAT APPLY. -Regression

What is the difference between slope and partial slopes?

A residual is defined as the

A negative slope implies the relationship between the variables is a negative one and hence covariance will also be negative.

Compare ANOVA and regression.

The residual is the difference between the predicted $\hat{Y}$ and the observed Y,i.e. $e=\hat{Y}-Y$ .

A scatter diagram is a(n)______ step in exploring a relationship between two variables.

The following data on fertility rates were obtained from Eurostat on seven European countries in 2006.The covariance between the mean age at childbearing and the total fertility rate is -0.06.Using this information and the information provided in the table below,calculate the Y-intercept and the slope and write down the linear regression equation which summarizes the relationship between these two variables.

Consider the following linear regression prediction equation: Y = 12 + -1x.If x = 7.What is the predicted value of Y for this observation?

What is the interpretation for the slope of the linear regression prediction equation?

What is the residual sum of squares?

Calculate the sum of squares regression using the following information: Sum of squares total: 2340 Sum of squares residual: 1496

The following data were obtained from a sample of 12 respondents.With respondents' highest grade of schooling completed as your dependent variable and fathers' highest grade of schooling completed as your independent variable,calculate the Y-intercept and the slope and write down the linear regression equation which summarizes the relationship between these two variables.

Which type of relationship occurs when all observations fall along a straight line?

SELECT ALL THAT APPLY. -In the linear regression equation Y = a + b (X)

The following data were obtained from a sample of 12 respondents.Approximately what percent of the variation in respondents' highest grade of schooling completed does fathers' highest grade of schooling explain?

Which three quantities are needed in order to calculate the value of the Y-intercept for the linear regression prediction equation?

SELECT ALL THAT APPLY. -A linear relationship