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Chapter 4: Q. 7 (page 192)

7. Identify one use of a regression equation.

Short Answer

Expert verified

Regression equation is used for predict the values.

Step by step solution

01

Concept Introduction

In statistics, regression equations are used to identify if there is any correlation between sets of data. For example, you might observe that a child grows approximately 3 inches each year when you measure his or her height.

02

Explanation

Recall that the regression equation aims to predict the values of the predicted variable. This predicted variable is outside the observed values. This is how the regression equation makes predictions.

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Most popular questions from this chapter

Movie Grosses. The data from Exercise 4.72 on domestic and overseas grosses for a random sample of 50movies 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 rin terms of the linear relationship between the two variables in question.

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 x1+y2where x0is the ith observation time and yiis the observed value of y at time xi. 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 .

Shortleaf Pines. The data from Exercise 4.80for volume, in cubic feet, and diameter at breast height, in inches, for 70shortleaf pines are on the Weiss Stats site.

a) Decide whether finding a regression line for the data is reasonable. If so, then also do puts (b)-(d).

Age and Price of Orions. In Table 4.2, we provided data on age and price for a sample of 11Orions between 2and 7years old. On the Weiss Stats site, we have given the ages and prices for a sample of 31Orions between 1and 11years old.

a. Obtain a scatterplot for the data.

b. Is it reasonable to find a regression line for the data? Explain your answer.

For a data set consisting of two data points:

a. identify the regression line.

b. What is the sum of squared errors for the regression line? Explain your answer.
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