Chapter 4: Q.4.123 (page 189)
A value ofcloses to -----indicates that the regression equation is is extremely useful for making predictions.
A value of closes to indicates that the regression equation is is extremely useful for making predictions.
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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 .
A value of close to indicates that the regression equation is either useless or ----- for making predictions.
A value of close to -suggests a strong------ linear relationship between the variables.
Wasp Mating Systems. In the paper "Mating System and Sex Allocation in the Gregarious Parasitoid Cotesia glomerata" (Animal Behaviour, Vol. , pp. ). H. Gu and S. Dorn reported on various aspects of the mating system and sex allocation strategy of the wasp C. glomerata, One part of the study involved the investigation of the percentage of male wasps dispersing before mating in relation to the brood sex ratio (proportion of males). The data obtained by the researchers are on the WeissStats site.
a. Obtain a scatterplot for the data.
b. Is it reasonable to find a regression line for the data? Explain your answer.
In Exercise 4.12, we give linear equations. For each equation,
a. find the -intercept and slope.
b. determine whether the line slopes upward, slopes downward, or is horizontal, without graphing the equation.
c. use two points to graph the equation.
Given equation is,
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