Chapter 4: Q. 9 (page 192)
9. Based on the least-squares criterion, the line that best fits a set of data points is the one with the ________possible sum of squared errors.
Based on the least-squares criterion, the line that best fits a set of data points is the one with the smallest possible sum of squared errors.
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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:
More Money, More Beer? The data for per capita income and per capita beer consumption for the states and Washington, D.C. from Exercise are on the Weiss Stats site.
(a) Decide whether finding a regression line for the data is reasonable. If so, then also do parts.
High and Low Temperature. The data from Exercise 4.75 for average high and low temperatures in January for a random sample of cities are on the WeissStats 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 (c).
b. obtain the linear correlation coefficient.
c. interpret the value of in terms of the linear relationship between the variables in question.
10. The line that best fits a set of data points according to the least-squares criterion is called the________line.
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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