Bundle: Cengage Advantage Books: Essentials of Statistics for the Behavioral Sciences, 8th + LMS Integrated for MindTap Psychology, 1 term (6 months) Printed Access Card
8th Edition
ISBN: 9781305617742
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Chapter 14.6, Problem 1LCC
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A set of n = 15 pairs of X and Y values has a correlation of r = +0.80 with SSY = 75, and the regression equation for predicting Y is computed.
Find the standard error of estimate for the regression equation.
How big would the standard error be if the sample size were n = 30.
A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45, SSY = 90.
a) If the regression equation was found for these scores, how much of the Y variability would be predicted by the regression equation (SSregression) and how much would not be predicted (SSresidual)?
b) Does the regression equation predict a significant portion of the variability for the Y scores? (Equivalently, is the Pearson correlation significant?)
One set of 20 pairs of scores, X and Y values, produces a correlation of r = 0.70.
If SSY = 150, calculate the standard error of the estimate for the regression line
Chapter 14 Solutions
Bundle: Cengage Advantage Books: Essentials of Statistics for the Behavioral Sciences, 8th + LMS Integrated for MindTap Psychology, 1 term (6 months) Printed Access Card
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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- 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_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_forwardI see that you ran a correlation for Pearson's r, can you run a linear regression?arrow_forward
- Jimmy tested a sample with of n=4 pairs of X and Y scores and found SSY = 48 and a Pearson correlation between X and Y of r = 0.4 Calculate whether the Fobserved in this regression experiment is significant at the ∞ = o.01 levelarrow_forwardA study was done to determine the relationship between the alcohol content of beer, and the amount of calories in a 12 oz serving size. The sample data is provided in the data below. a) From this sample data, can you conclude (at the alpha=0.05 level) that there is in fact a linear correlation between the two variables? Use the statistics (correlation coefficient, value) to describe the correlation (if any). B) Using the sample data, find a regression equation to estimate the number of calories in a beer. C) Dogfish Head Brewery in Milton, Delaware has an I.P.A. beer called "120 minute IPA" which has an alcohol content of 18%. Using your regression equation, estimate the number of calories in a 12 oz serving of 120 Minute. Brand/Beer Alcohol Content (%) Calories (per 12 oz) Big Sky Scape Goat Pale Ale 4.70 163 Sierra Nevada Harvest Ale 6.70 215 Steel Reserve 8.10 222 Coors Light 4.15 104 Genesee Cream Ale 5.10 162 Sierra Nevada Summeefest Beer 5.00 158 Michelob Beer…arrow_forward
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