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 12, Problem 15P
A research study comparing three treatment conditions produces
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The correlation between two variables x and y is –0.6. If we used a regression line to predict y using x, what percent of the variation in y would be explained?
Chapter 12 Solutions
Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 12 - Explain why the F-ratio is expected to be near...Ch. 12 - Describe the similarities between an F-ratio and a...Ch. 12 - Why should you use ANOVA instead of several ttests...Ch. 12 - Calculate SStotal , SSbetween , and SSwithin for...Ch. 12 - A researcher uses an ANOVA to compare three...Ch. 12 - A researcher reports an F-ratio with dfbetween=2...Ch. 12 - A researcher reports an F-ratio with df=2,27 from...Ch. 12 - A research report from an independent-measures...Ch. 12 - Treatment I II III n=10 n=10 n=10 SS=63 SS=66...Ch. 12 - A researcher conducts an experiment comparing four...
Ch. 12 - The following summary table presents the results...Ch. 12 - A developmental psychologist is examining the...Ch. 12 - The following data were obtained from an...Ch. 12 - The following data were obtained from an...Ch. 12 - A research study comparing three treatment...Ch. 12 - Several factors influence the size of the F-ratio....Ch. 12 - A researcher used ANOVA and computed and F-ration...Ch. 12 - The following data were obtained from an...Ch. 12 - For the preceding problem you should find that...Ch. 12 - The following data summarize the results from an...Ch. 12 - To create the following data we started with the...Ch. 12 - The following values are from an independent-...Ch. 12 - An ANOVA produces an F-ratio with df=1,34 . Could...Ch. 12 - The following scores are from an...
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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_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_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
- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forwardFor the following exercises, consider the data in Table 5, which shows the percent of unemployed ina city of people 25 years or older who are college graduates is given below, by year. 40. Based on the set of data given in Table 6, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to three decimal places.arrow_forwardFor 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_forward
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