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11. Using a regression equation to make predictions for values of the predictor variable outside the range of the observed values of the predictor variable is called ________

Short Answer

Expert verified

Using a regression equation to make predictions for values of the predictor variable outside the range of the observed values of the predictor variable is called extrapolation.

Step by step solution

01

Concept Introduction

Extrapolation:

Extrapolation is when the projected value of yfor a given value of predictor variablexlies outside the range of x.

02

Explanation

Extrapolation is a technique for determining the value of a predictor variable outside of the range of observed values.

Extrapolation is the process of utilizing a regression equation to produce predictions for values of the predictor variable that are outside the range of the observed values of the predictor variable.

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Most popular questions from this chapter

Sample Covariance. For a set of n data points, the sample covariance, sxy+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

b1=sv/xk2andb0=y^-b1i^n

where sidenotes 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.

More Money, More Beer?Does a higher state per capita income equate to a higher per capita beer consumption? From the document Survey of Current Business, published by the U.S. Bureau of Economic Analysis, and from the Brewer's Almanac, published by the Beer Institute, we obtained data on personal income per capita, in thousands of dollars, and per capita beer consumption, in gallons, for the 50states and Washington. D.C. Those data are provided on the Weiss Stats site.

a. Obtain a scatterplot for the data.

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

In Exercise 4.10, we give linear equations. For each equation,

a. find the y-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.

y=-0.75x-5

13. Identify a use of the coefficient of determination as a descriptive measure.

Fill in the blanks.

a. In the context of regression, an_______ is a data point that lies far from the regression line, relative to the other data points.

b. In regression analysis, an_______ is a data point where removal causes the regression equation to change considerably:

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