12. Regression

What is the coefficient of determination for two variables that have perfect positive linear correlation or perfect negative linear correlation? Interpret your answer.

The coefficient of determination r^2 is the ratio of which two types of variations? What does r^2 measure? What does 1 - r^2 measure?

Problems 7–12 use the results from Problems 27–32 in Section 4.1 and Problems 17–22 in Section 4.2.

b.Interpret the coefficient of determination and comment on the adequacy of the linear model..

[NOW WORK] [DATA] The Other Old Faithful Perhaps you are familiar with the famous Old Faithful geyser in Yellowstone National Park. Another Old Faithful geyser is located in Calistoga in California’s Napa Valley. The following data represent the time (in minutes) between eruptions and the length of eruption for 9 randomly selected eruptions. The coefficient of determination is 83.0%. Provide an interpretation of this value.

"In Exercises 7-10, use the value of the correlation coefficient r to calculate the coefficient of determination r^2. What does this tell you about the explained variation of the data about the regression line? about the unexplained variation?

8.r =- 0.328"