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Chapter 4: Q.4.12 (page 189)
The symbol that is used for the linear correlation coefficient is -------
The symbol that is used for the linear correlation coefficient is .
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Graduation Rates. Graduation rate-the percentage of entering freshmen attending full time and graduating within 5 years and what influences it is a concern in U.S. colleges and universities.
US News and World Report's "College Guide" provides data on graduation rates for colleges and universities as a function of the per centage of freshmen in the top 10% of their high school class, total spending per student, and student-to-faculty ratio. A random sample of 10 universities gave the following data on student-to-faculty ratio (S/F ratio) and graduation rate (Grad rate).
a. Draw a scatterplot of the data.
b. Is finding a regression line for the data reasonable? Explain your answer.
c. Determine the regression equation for the data, and draw its graph
on the scatterplot you drew in part (a).
d. Describe the apparent relationship between student-to-faculty
ratio and graduation rate.
e. What does the slope of the regression line represent in terms of student-to-faculty ratio and graduation rate?
f. Use the regression equation to predict the graduation rate of a university having a student-to-faculty ratio of 17.
g. Identify outliers and potential influential observations
(a) Plot the data points and the first linear equation on one graph and the data points and the second linear equation on another.
(b) Construct tables for
(c) Determine which line fits the data points better according to the least-square criterion.
For which of the following sets of data points can you reasonably determine a regression line? Explain your answer.
A measure of the total variation in the observed values of the response variable is the------.
The mathematical abbreviation for it is----.
Rental-Car Costs. During one month, the Avis Rent Car rate for renting a Buick LeSabre in Mobile, Alabama, was per day plus per mile. For a one day rental, let denote the number of miles driven and let denote the total cost, in dollars.. The linear equation is
a. Find the y-intercept and slope of the specified linear equation.
b. Explain what the y-intercept and slope represent in terms of the graph of the equation.
c. Explain what the y-intercept and slope represent in terms relating to the application.
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