Chapter 4: 3 (page 192)
The -intercept of a line has no effect on the steepness of the line.
The -intercept of a line has no bearing on the line's steepness. The stated assertion is correct.
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10. The line that best fits a set of data points according to the least-squares criterion is called the________line.
A value of close to -suggests a strong------ linear relationship between the variables.
Movie Grosses. The data from Exercise 4.72 on domestic and overseas grosses for a random sample of movies are on the Weiss Stats 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 (CK.
b. obtain the linear correlation coefficient.
c. interpret the value of in terms of the linear relationship between the two variables in question.
A value of close to indicates that the regression equation is either useless or ----- for making predictions.
Tine Series. A collection of observations of a variable y taken at regular intervals over time is called a time series. Bocoomsic data and electrical signals are examples of time series. We can think of a time series as providing data points where is the ith observation time and is the observed value of y at time . If a time series exhibits a linear trend, we can find that trend by determining the regression equation for the data points. We can then use the regression equation for forecasting purposes.
As an illustration, consider the data on the WeissStats site that shows the U.S. population, in millions of persons, for the years 1900 2013. as provided by the I.S. Census Beret.
a. Use the technology of your choice to lesbian a scatterplot of the data.
h. Use the technology of your choice to find the regression equation.
6. Use your result from part (b) to forecast the U.S. population for the years 2014 and 2015 .
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