Statistics for The Behavioral Sciences (MindTap Course List)
10th Edition
ISBN: 9781305504912
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Chapter 16, Problem 17P
17. a.A researcher computes the linear regression equation for a sample of n = 20 pairs of scores, X and Y values. If an analysis of regression is used to test the significance of the equation, what are the df values for the F-ratio?
b. A researcher evaluating the significance of a regression equation obtains an F-ratio with df = l, 23. How many pairs of cores, X and Y values, are in the sample?
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Chapter 16 Solutions
Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 16 - Sketch a graph showing the line for the equation...Ch. 16 - The regression equation is intended to be the...Ch. 16 - A set of n=18 pairs of scores (X and Y values) has...Ch. 16 - A set of n=15 pairs of scores (X and Y values)...Ch. 16 - Briefly explain what is measured by the standard...Ch. 16 - In general, how is the magnitude of the standard...Ch. 16 - For the following set of data, find the linear...Ch. 16 - For the following data: a. Find the regression...Ch. 16 - Does the regression equation from problem 8...Ch. 16 - For the following scores, X Y 3 8 5 8 2 6 2 3 4 6...
Ch. 16 - Ii. Problem 13 in Chapter 15 examined the...Ch. 16 - A professor obtains SAT scores and freshman grade...Ch. 16 - Problem 14 in Chapter 15 described a study...Ch. 16 - 14. There appears to be some evidence suggesting...Ch. 16 - The regression equation is computed for a set of n...Ch. 16 - 16. a. One set of 10 pairs of scores, X and Y...Ch. 16 - 17. a.A researcher computes the linear regression...Ch. 16 - For the following data: Find the regression...Ch. 16 - A multiple-regression equation with. two predictor...Ch. 16 - A researcher obtained the following multiple...Ch. 16 - 21. Problem 18 in Chapter 15 (p. 526) presented...Ch. 16 - For the data in problem 21, the correlation...Ch. 16 - For the following data, find the...Ch. 16 - A researcher evaluates the significance of a...
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forwardLife Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300arrow_forwardOlympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?arrow_forward
- For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracyarrow_forwardXYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?arrow_forwardWhat does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forward
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