Essentials of Statistics for the Behavioral Sciences
8th Edition
ISBN: 9781133956570
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Textbook Question
Chapter 14, Problem 29P
a. A researcher computes the regression equation for a sample of n = 25 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 = 1, 18. How many pairs of scores, X and Y values, are in the sample?
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Essentials of Statistics for the Behavioral Sciences
Ch. 14.1 - For each of the following, indicate whether you...Ch. 14.1 - The data points would be clustered more closely...Ch. 14.1 - If the data points are clustered close to a line...Ch. 14.1 - If a scatter plot shows a set of data points that...Ch. 14.2 - Can SP ever have a value less than zero?Ch. 14.2 - Calculate the sum of products of deviations (SP)...Ch. 14.2 - Prob. 3LCCh. 14.3 - A researcher finds a correlation of r = 0.71...Ch. 14.3 - A researcher finds a correlation of r = 0.60...Ch. 14.4 - A researcher obtains a correlation of r = 0.39 for...
Ch. 14.4 - As sample size gets smaller, what happens to the...Ch. 14.4 - Sales figures show a positive relationship between...Ch. 14.5 - Describe what is measured by a Spearman...Ch. 14.5 - Prob. 2LCCh. 14.5 - Prob. 3LCCh. 14.5 - The following data represent job-related stress...Ch. 14.5 - Prob. 2LCACh. 14.6 - A local gym charges a 25 monthly membership fee...Ch. 14.6 - Prob. 2LCCh. 14.6 - Prob. 3LCCh. 14.6 - If the slope constant (b) in a linear equation is...Ch. 14.6 - Prob. 1LCACh. 14.6 - Prob. 1LCBCh. 14.6 - Prob. 2LCBCh. 14.6 - Prob. 3LCBCh. 14.6 - Prob. 1LCCCh. 14 - a. What information is provided by the sign (+ or...Ch. 14 - Calculate SP (the sum of products of deviations)...Ch. 14 - Calculate SP (the sum of products of deviations)...Ch. 14 - For the following scores, X Y 1 3 3 5 2 1 2 3 a....Ch. 14 - For the following scores, X Y 1 7 4 2 1 3 1 6 2 0...Ch. 14 - Prob. 6PCh. 14 - With a small sample, a single point can have a...Ch. 14 - For the following set of scores, X Y 6 4 3 1 5 0 6...Ch. 14 - Judge and Cable (2010) report the results of a...Ch. 14 - The researchers cited in the previous problem also...Ch. 14 - Identifying individuals with a high risk of...Ch. 14 - As we have noted in previous chapters, even a very...Ch. 14 - A researcher measures three variables, X, Y, and...Ch. 14 - Prob. 17PCh. 14 - The regression equation is intended to be the best...Ch. 14 - A set of n = 20 pairs of scores (X and Y values)...Ch. 14 - A set of n = 25 pairs of scores (X and Y values)...Ch. 14 - For the following set of data, a. Find the linear...Ch. 14 - Does the regression equation from Problem 20...Ch. 14 - Prob. 23PCh. 14 - Although you might suspect that dissatisfied...Ch. 14 - Problem 9 examined the relationship between weight...Ch. 14 - There appears to be some evidence suggesting that...Ch. 14 - The regression equation is computed for a set of n...Ch. 14 - a. One set of 20 pairs of scores, X and Y values,...Ch. 14 - a. A researcher computes the regression equation...
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_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_forwardThe following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.arrow_forward
- For the following exercises, consider the data in Table 5, which shows the percent of unemployed in a city ofpeople25 years or older who are college graduates is given below, by year. 41. Based on the set of data given in Table 7, calculatethe regression line using a calculator or othertechnology tool, and determine the correlationcoefficient to three decimal places.arrow_forwardFor 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_forward
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