ELEMENTARY STATISTICS(LL)(FD)
3rd Edition
ISBN: 9781260707458
Author: Navidi
Publisher: MCGRAW-HILL CUSTOM PUBLISHING
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Chapter 15.2, Problem 16E
To determine
To find:Whether the
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an attempt to develop a model of wine quality as judged by wine experts, data on alcohol content and wine quality was collected from variants of a particular wine. From a sample of 12wines, a model was created using the percentages of alcohol to predict wine quality. For those data, SR=18,671 and SST=27,382.Use this information to complete parts (a) through (c) below. Please complete part 3(B) ONLY.
Question content area bottom
Part 1
a. Determine the coefficient of determination,
r2,
and interpret its meaning.
r2=0.682
(Round to three decimal places as needed.)
Part 2
Interpret the meaning of r2.
It means that
68.2
of the variation in
wine quality
can be explained by the variation in
alcohol content.
(Round to one decimal place as needed.)
Part 3
b. Determine the standard error of the estimate.
SYX=
(Round to four decimal places as needed.)
The following data are from an experiment on carnations. The explanatory variable is the amount of inorganic bromine (micrograms per milliliter) in a plot of standard size. The
response variable is the average number of flowers per carnation plant for the 30 plants grown in the plot. Find the change in number of flowers per plant given an increase in 1 µg per
mL of inorganic bromine.
Amount of
bromine
Average no. of
flowers
Select one:
O a. -0.216
O b. 0.216
O c.
O d. -3.81
4.04
3
3.2
4
2.9
6
3.7
7
2.2
8
1.8
10
2.3
12
1.7
15
16
0.8 0.3
The data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total
enrollment; police, employed officers. Use the estimated OLS models to answer the questions below:
Model A:
In(crime) = -6.631 + 1.270ln(enroll),
(1.034) (.110)
n = 97; R² = .5804
Model B:
In(crime) = -4.794 + .923ln(enroll)
(.144)
(1.112)
n = 97; R² = .632
+.516ln(police),
(.149)
Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a
two-sided alternative). Calculate the t-statistic.
Chapter 15 Solutions
ELEMENTARY STATISTICS(LL)(FD)
Ch. 15.1 - In Exercises 3 and 4, fill in each blank with the...Ch. 15.1 - Prob. 4ECh. 15.1 - Prob. 5ECh. 15.1 - In Exercises 5 and 6, determine whether the...Ch. 15.1 - Prob. 7ECh. 15.1 - Prob. 8ECh. 15.1 - Prob. 9ECh. 15.1 - Prob. 10ECh. 15.1 - Weight loss: A weight loss company claims that the...Ch. 15.1 - At the movies: A sample of 12 movies released in a...
Ch. 15.1 - Prob. 13ECh. 15.1 - Prob. 14ECh. 15.1 - Prob. 15ECh. 15.1 - Prob. 16ECh. 15.1 - Scam alert: The rates of fraud complaints (per...Ch. 15.1 - Prob. 18ECh. 15.1 - Prob. 19ECh. 15.2 - Prob. 3ECh. 15.2 - Prob. 4ECh. 15.2 - Prob. 5ECh. 15.2 - Prob. 6ECh. 15.2 - Prob. 7ECh. 15.2 - Prob. 8ECh. 15.2 - Prob. 9ECh. 15.2 - In Exercises 7-10, compute s,s, and the value of...Ch. 15.2 - Prob. 11ECh. 15.2 - Prob. 12ECh. 15.2 - Prob. 13ECh. 15.2 - Recovery times: A new postsurgical treatment was...Ch. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.3 - Prob. 3ECh. 15.3 - Prob. 4ECh. 15.3 - Prob. 5ECh. 15.3 - Prob. 6ECh. 15.3 - Prob. 7ECh. 15.3 - Prob. 8ECh. 15.3 - Prob. 9ECh. 15.3 - Prob. 10ECh. 15.3 - Prob. 11ECh. 15.3 - Prob. 12ECh. 15.3 - Prob. 13ECh. 15.3 - Prob. 14ECh. 15.3 - Prob. 15ECh. 15.3 - Prob. 16ECh. 15.3 - Exercise 17 demonstrates that the results of the...Ch. 15 - Prob. 1CQCh. 15 - Prob. 2CQCh. 15 - Prob. 3CQCh. 15 - Prob. 4CQCh. 15 - Prob. 5CQCh. 15 - Prob. 6CQCh. 15 - Prob. 7CQCh. 15 - Prob. 8CQCh. 15 - In Exercises 8-10, use the signed-rank test to...Ch. 15 - Prob. 10CQCh. 15 - Prob. 1RECh. 15 - Prob. 2RECh. 15 - Prob. 3RECh. 15 - Prob. 4RECh. 15 - Prob. 5RECh. 15 - Prob. 6RECh. 15 - Prob. 7RECh. 15 - Prob. 8RECh. 15 - Prob. 9RECh. 15 - Prob. 10RECh. 15 - Prob. 1WAICh. 15 - Prob. 2WAICh. 15 - Prob. 3WAICh. 15 - Prob. 1CSCh. 15 - Prob. 2CSCh. 15 - Microorganisms play a crucial role in wastewater...Ch. 15 - Prob. 4CS
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.arrow_forwardThe data used is from college campuses. The variables used in the analysis below include: crime, total campus crime; enroll, total enrollment; police, employed officers. Use the estimated OLS models to answer the questions below: Model A: In(crime) = -6.631 + 1.270ln(enroll), (1.034) (.110) .5804 n = 97; R² = Model B: In(crime) = -4.794+.923ln(enroll) +.516ln(police), (.144) (.149) (1.112) n = 97; R² = .632 Using Model A, test the null hypothesis that elasticity of crime with respect to enrollment is unit elastic, i.e. equal to one (against a two-sided alternative). What is the conclusion of your test using a significance level of .01? Reject Fail to reject O Not enough information.arrow_forward
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