Chapter 4: Q. 4.126 (page 189)
If y tends to decrease linearly as x increases. the variables are -------linearly correlated.
The variables are Negatively linearly correlated.
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In Problems 3-5, answer true or false to each statement. Explain your answers.
If a line has a positive slope, values on the line decrease as thevalues decrease.
U.S. Presidents. The data from Exercise 4.71 for the ages at the inauguration and of death for the presidents of the United States are on the Weissstats site.
a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate, If so, then also do parts (b) and (c).
b. obtain the linear correlation coefficient.
c. interpret the value of in terms of the linear relationship between the two variables in question.
As we noted, because of the regression identity, we can express the coefficient of determination in terms of the total sum of squares and the error sum of squares as
a. Explain why this formula shows that the coefficient of determination can also be interpreted as the percentage reduction obtained in the total squared error by using the regression equation instead of the mean. . to predict the observed values of the response variable.
b.
What percentage reduction is obtained in the total squared error by using the regression equation instead of the mean of the observed prices to predict the observed prices?
A measure of the total variation in the observed values of the response variable is the------.
The mathematical abbreviation for it is----.
A value of close to -----suggests at most a weak linear relationship between the variables.
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