Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 10.3, Problem 17BSC
Regression and Predictions. Exercises 13-28 use the same data sets as Exercises 13-28 in Section 10-2. In each cast, find the regression equation, letting the first variable be the predictor (x) variable. Find the indicated predicted value by following the prediction procedure summarized in Figure 10-5.
17. Town Courts The court for the town of Beckman had income of $83,941 (or $83.941 thousand). Find the best predicted salary for the justice. Is the result close to the actual salary of $26,088?
| Court Income | 65 | 404 | 1567 | 1131 | 272 | 252 | 111 | 154 | 32 |
| Justice Salary | 30 | 44 | 92 | 56 | 46 | 61 | 25 | 26 | 18 |
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KidsFeet Regression Analysis Code
The KidsFeet dataframe contains data collected on 39 fourth grade students in Ann Arbor, MI, in October 1997. Two of the measurements taken on the children were the length in centimeters, (length), and width in centimeters, (width), of their longest foot. This data could be used to answer the following
Research Question: How is the width of a fourth-grade student's foot related to the length?
Which of the following lines of code resulted in the following plot and regression analysis? Hint: More than one choice may be correct.
## ## Simple Linear Regression## ## Correlation coefficient r = 0.6411 ##
## Equation of Regression Line:## ## length = 9.817 + 1.658 * width ## ## Residual Standard Error: s = 1.025 ## R^2 (unadjusted): R^2 = 0.411
( ) KidsFeetMod<-lmGC(length~width,data=KidsFeet)
KidsFeetMod
( ) lmGC(width~length,data=KidsFeet,graph=TRUE)
( ) KidsFeetMod<-lmGC(width~length,data=KidsFeet)…
What is the relationship between the amount of time statistics students study per week and their final
exam scores? The results of the survey are shown below.
Time
Score
3
4
73
16
2
15
10
3
95
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67
88
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a. Find the correlation coefficient: r =
b. The null and alternative hypotheses for correlation are:
Hg: ?v = 0
H: ?v + 0
Round to 2 decimal places.
The p-value is:
(Round to four decimal places)
c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context
of the study.
O There is statistically insignificant evidence to conclude that a student who spends more time
studying will score higher on the final exam than a student who spends less time studying.
O There is statistically significant evidence to conclude that there is a correlation between the
time spent studying and the score on the final exam. Thus, the regression line is useful.
O There is statistically insignificant evidence to conclude that there is a correlation between the…
KidsFeet Regression Line y-Intercept
The KidsFeet dataframe contains data collected on 39 fourth grade students in Ann Arbor, MI, in October 1997. Two of the measurements taken on the children were the length in centimeters, (length), and width in centimeters, (width), of their longest foot. This data could be used to answer the following
Research Question: How is the width of a fourth-grade student's foot related to the length?
Which of the following is the y-intercept of the regression line?
## ## Simple Linear Regression## ## Correlation coefficient r = 0.6411 ## ## Equation of Regression Line:## ## length = 9.817 + 1.658 * width ## ## Residual Standard Error: s = 1.025 ## R^2 (unadjusted): R^2 = 0.411
( ) 1.0248
( ) 1.6576
( ) 22.8153
( ) 0.411
( ) 9.8172
( )0.6411
Chapter 10 Solutions
Elementary Statistics
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