Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
5th Edition
ISBN: 9780134210247
Author: Richard D. De Veaux, Paul Velleman, David E. Bock
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 22E
GPA and SATs A large section of Stat 101 was asked to fill out a survey on grade point average and SAT scores. A regression was run to find out how well Math and Verbal SAT scores could predict academic performance as measured by GPA. The regression was run on a computer package with the following output:
Response: GPA
- a) What is the regression equation?
- b) From this model, what is the predicted GPA of a student with an SAT Verbal score of 500 and an SAT Math score of 550?
- c) What else would you want to know about this regression before writing a report about the relationship between SAT scores and grade point averages? Why would these be important to know?
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Students have asked these similar questions
For a data set consisting of two data points:
a. Identify the regression line.
b. What is the sum of squared errors for the regression line? Explain your answer.
A real estate builder wishes to determine how house size (House) is influenced by family income (Income),
family size (Size), and education of the head of household (School). House size is measured in hundreds of
square feet, income is measured in thousands of dollars, and education is in years. The builder randomly
selected 50 families and ran the multiple regression. Microsoft Excel output is provided below:
TABLE 14-4
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square 0.726
Standard Error
0.865
0.748
5.195
Observations
50
ΑΝΟΥΑ
df
SS
MS
3605.7736
Signif F
0.0000
Regression
Residual
1201.9245
1214.2264
26.3962
Total
49
4820.0000
Coeff
StdError
t Stat
P-value
Intercept
-1.6335
5.8078
-0.281
0.7798
Income
0.4485
0.1137
3.9545
0.0003
Size
A2615
0 0001
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a. Based on the scatterplot, is there a positive or negative association between height of athlete and length of jump?
b. Based on the scatterplot, state why using a linear regression equation is justified to assess the relationship between height and length of jump.
c. Which of the following (pick one only) could be a possible value of the correlation coefficientbetween distance and height? Explain in a sentence or two.Choices are: -1, -0.7, 0, 0.1, 0.7, 1.
Chapter 9 Solutions
Intro Stats, Books a la carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (5th Edition)
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Ch. 9 - Prob. 8ECh. 9 - Prob. 9ECh. 9 - More indicators For each of these potential...Ch. 9 - Interpretations A regression performed to predict...Ch. 9 - Prob. 12ECh. 9 - Prob. 13ECh. 9 - Scottish hill races Hill runningraces up and down...Ch. 9 - Prob. 15ECh. 9 - Candy bars per serving: calories A student...Ch. 9 - Prob. 17ECh. 9 - More hill races Here is the regression for the...Ch. 9 - Prob. 19ECh. 9 - Home prices II Here are some diagnostic plots for...Ch. 9 - Admin performance The AFL-CIO has undertaken a...Ch. 9 - GPA and SATs A large section of Stat 101 was asked...Ch. 9 - Prob. 23ECh. 9 - Breakfast cereals We saw in Chapter 7 that the...Ch. 9 - Breakfast cereals again We saw a model in Exercise...Ch. 9 - Prob. 26ECh. 9 - Hand dexterity Researchers studied the dexterity...Ch. 9 - Candy bars with nuts The data on candy bars per...Ch. 9 - Scottish hill races, men and women The Scottish...Ch. 9 - Scottish hill races, men and women climbing The...
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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_forwardBeachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the company wants to know how different variables affect the sales of his vehicles. A random sample of yearly data was taken with the view to testing the model: SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the total mileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained:a) What is dependent and independent variables? already answeredb) Fully write out the regression equation already answeredc) Fill in the missing values ‘*’, ‘**’, ‘***’and ‘****’ already answeredd) Hence test whether ? is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.arrow_forwardBeachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the company wants to know how different variables affect the sales of his vehicles. A random sample of yearly data was taken with the view to testing the model:SALES=?+?AGE+?MIL+?ENGWhere SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the total mileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained: Calculate the following:a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’ and ‘***’ d) Hence test whether ? is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.arrow_forward
- Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the company wants to know how different variables affect the sales of his vehicles. A random sample of yearly data was taken with the view to testing the model: SALES=?+?AGE+?MIL+?ENG Where SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the total mileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained: d) Hence test whether ? is significant. Give reasons for your answer. e) Perform the F Test making sure to state the null and alternative hypothesis. f) Given an interpretation of the term “R-sq” and comment on its value.arrow_forwardBeachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of the company wants to know how different variables affect the sales of his vehicles. A random sample of yearly data was taken with the view to testing the model: SALES=?+?AGE+?MIL+?ENG Where SALES= amount that a vehicle is sold for($000’s), AGE = age of the vehicle, MIL= the total mileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data was processed using MINITAB and the following is an extract of the output obtained: a) What is dependent and independent variables? b) Fully write out the regression equation c) Fill in the missing values ‘*’, ‘**’, and ‘***’.arrow_forwardBluereef real estate agent wants to form a relationship between the prices of houses, how many bedrooms, House size in sq ft, and Lot Size in sq ft. The data pertaining to 100 houses were processed using MINITAB and the following is an extract of the output obtained: Write out the regression equation. Fill in the missing values, *, **, and ***. Use the p-value approach to determine if the minuscule is significant at the 5% significance level. Is y significantly different from -0.5? Perform the F test at the 1% level, making sure to state the null and alternative hypotheses. Give an interpretation of the term "R-sq" and comment on its value.arrow_forward
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