Statistics for the Behavioral Sciences
3rd Edition
ISBN: 9781506386256
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 16, Problem 18CAP
To determine
Find the predicted value of Y, given that
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Consider the regression equation Y=a+bX.
Assume that there is a relationship exists between the variables X and Y.
Then what the value of b will be?
A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained shared in the picture.
Write out the estimated regression equation for the relationship between the variables.
Compute coefficient of determination. What can you say about the strength of this relationship?
Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significance.
Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.
A data set consists of these points: (2, 4), (4, 7), (5, 12). Malinda found the
regression equation to be ŷ = 2.5x- 1.5. Is she correct?
A. No. Both a and bare incorrect.
O B. No. The value for b is incorrect.
C. No. The value for a is incorrect.
O D. Yes. This is the correct equation.
Chapter 16 Solutions
Statistics for the Behavioral Sciences
Ch. 16.2 - Prob. 1.1LCCh. 16.2 - Prob. 1.2LCCh. 16.2 - Prob. 1.3LCCh. 16.4 - Prob. 2.1LCCh. 16.4 - Prob. 2.2LCCh. 16.4 - Prob. 2.3LCCh. 16.5 - Prob. 3.1LCCh. 16.5 - Prob. 3.2LCCh. 16.6 - Prob. 4.1LCCh. 16.6 - Prob. 4.2LC
Ch. 16.6 - Prob. 4.3LCCh. 16.8 - Prob. 5.1LCCh. 16.8 - Prob. 5.2LCCh. 16.8 - Prob. 5.3LCCh. 16.9 - Prob. 6.1LCCh. 16.9 - Prob. 6.2LCCh. 16.9 - Prob. 6.3LCCh. 16.13 - Prob. 7.1LCCh. 16.13 - Prob. 7.2LCCh. 16.13 - Prob. 7.3LCCh. 16 - Prob. 1FPCh. 16 - Prob. 2FPCh. 16 - Prob. 3FPCh. 16 - Prob. 4FPCh. 16 - Prob. 5FPCh. 16 - Prob. 6FPCh. 16 - Prob. 7FPCh. 16 - Prob. 8FPCh. 16 - Prob. 9FPCh. 16 - Prob. 10FPCh. 16 - Prob. 11FPCh. 16 - Prob. 12FPCh. 16 - Prob. 13CAPCh. 16 - Prob. 14CAPCh. 16 - Prob. 15CAPCh. 16 - Prob. 16CAPCh. 16 - Prob. 17CAPCh. 16 - Prob. 18CAPCh. 16 - Prob. 19CAPCh. 16 - Prob. 20CAPCh. 16 - Prob. 21CAPCh. 16 - Prob. 22CAPCh. 16 - Prob. 23CAPCh. 16 - Prob. 24CAPCh. 16 - Prob. 25CAPCh. 16 - Prob. 26CAPCh. 16 - Prob. 27CAPCh. 16 - Prob. 28CAPCh. 16 - Prob. 29CAPCh. 16 - Prob. 30PRCh. 16 - Prob. 31PRCh. 16 - Prob. 32PRCh. 16 - Prob. 33PRCh. 16 - Prob. 34PR
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- Demand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00arrow_forwardA student used multiple regression analysis to study how family spending (y) is influenced by income (X1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained.arrow_forward1. Develop a simple linear regression equation for starting salaries using an independent variable that has the closest relationship with the salaries. Explain how you chose this variable.arrow_forward
- Data from 147 colleges from 1995 to 2005 (Lee,2008) were tested to predict the endowments (in billions) to a college from the average SAT score of students attending the college. The resulting regression equation was Y = -20.46 + 4.06 (X). This regression indicates that: a. for every one-point increase in SAT scores, a college can expect 4.06 billion more in endowments. b. most colleges have very high endowments. c. for every one-point increase in SAT scores, a college can expect 20.46 billion fewer in endowments. d. for every one-dollar increase in endowments, the college can expect a half-point increase in SAT scores.arrow_forwardA student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousandsof dollars. The following results were obtained shown in the image,a. Write out the estimated regression equation for the relationship between the variables. b. Compute coefficient of determination. What can you say about the strength of this relationship? c. Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significance and Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.arrow_forwardImagine Daenerys Targaryen as a researcher concerned with the dragon species. The people of Westeros believed that dragons were decreasing in size due to captivity. Dragon size was normally measured as wingspan (meters) and captivity was normally measured in years. Daenerys used archival data and determined that the relationship between these two variables could be explained using the following regression equation: y-predicted = 453 - 2.5xInterpret this equation (i.e. What is its purpose? What is the intercept? What is the slope? What does it mean for dragons in Westeros?).arrow_forward
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