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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Textbook Question
Chapter 16, Problem 23P
For the following data, find the multiple-regressionequation for predicting Y from X and X2
| X1 | X2 | Y | |
| 1 | 3 | 1 | |
| 2 | 4 | 2 | |
| 3 | 5 | 6 | |
| 6 | 9 | 8 | |
| 4 | 8 | 3 | |
| 2 | 7 | 4 | |
| M = | 3 | M = 6 | M = 4 |
| SSXI= | 16 | SSX2=28 | SSY= 34 |
SPX1X2= 18
SPX1Y= 19
SPX2Y
=21
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The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female).ŷ = 30 + 0.7x1 + 3x2Also provided are SST = 1200 and SSE = 384.The multiple coefficient of determination is _____.
The following estimated regression model was developed relating yearly income (y in $1000s) of 30 individuals with their age (x1) and their gender (x2) (0 if male and 1 if female).ŷ = 30 + 0.7x1 + 3x2Also provided are SST = 1200 and SSE = 384.The yearly income of a 24-year-old female individual is _____.
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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- Olympic 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, 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
- For 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_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_forwardFor the following exercises, consider this scenario: The profit of a company decreased steadily overa ten-year spam.The following ordered pairs shows dollars and the number of units sold in hundreds and the profit in thousands ofover the ten-year span, (number of units sold, profit) for specific recorded years: (46,600),(48,550),(50,505),(52,540),(54,495). Use linear regression to determine a function Pwhere the profit in thousands of dollars depends onthe number of units sold in hundreds.arrow_forward
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