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Chapter 4: Q 4.147 (page 190)
Plant Emissions. Following are the data on plant weight and
quantity of volatile emissions from Exercises 4.61 and 4.101.
a
We have been given a table
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Sample Covariance. For a set of n data points, the sample covariance, is given by
The sample covariance can be used as an alternative method for tinding the slope and y-intercept of a regression line. The formulas are
where denotes the sample standard deviation of the x-values.
a. Use Equation (4.1) to determine the sample covariance of the data points in Exercise 4,45.
b. Use Equation (4.2) and your answer from part (a) to find the regression equation. Compare your result to that found in Exercise 4.57.
In Exercise 4.7, 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,
Shortleaf Pines. The data from Exercise for volume, in cubic feet, and diameter at breast height, in inches, for shortleaf 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 .
6. What kind of plot is useful for deciding whether finding a regression line for a set of data points is reasonable?
(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.
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