Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
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Chapter 5.3, Problem 36E
a.
To determine
Justify whether the observation for Hospital 11 is an influential observation.
b.
To determine
Justify whether the observation for Hospital 11 is an outlier.
c.
To determine
Justify whether the observation for Hospital 5 is an influential observation.
d.
To determine
Justify whether the observation for Hospital 5 is an outlier.
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A researcher interested in explaining the level of foreign reserves for the country of Barbados
estimated the following multiple regression model using yearly data spanning the period 2001 to
2016:
FR=a+BOIL+YEXP+8FDI
Where FR = yearly foreign reserves ($000’s), OIL = annual oil prices, EXP = yearly total exports
(S000's) and FDI = annual foreign direct investment (S000's). The sample of data was processed
using MINITAB and the following is an extract of the output obtained:
Predictor
Coef
StDev
t-ratio
p-value
Constant
5491.38 2508.81
2.1888
0.0491
OIL
85.39
18.46
4.626
0.0006
EXP
-377.08
112.19
0.0057
FDI
-396.99
160.66
-2.471
**
s = 2.45
R-sq = 96.3%
R-sq (adj)
= 95.3%
Analysis of Variance
Source
DF
MS
F
Regression
3
1991.31
663.77
?
??
Error
12
77.4
6.45
Total
15
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 ß is significant. Give reasons for your answer.
e) Perform…
The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x�^=�0+�1�. Round the slope and y-intercept to the nearest thousandth.
Grades on Midterm and Final Exams
Grades on Midterm
7171
6262
7878
9494
8383
8181
8080
9494
8585
6262
Grades on Final
8888
7979
8888
9191
8080
7070
7171
9393
6565
7777
A researcher interested in explaining the level of foreign reserves for the country of Barbados
estimated the following multiple regression model using yearly data spanning the period 2001 to
2016:
FR=a+B01L+YEXP+8FDI
Where FR = yearly foreign reserves (So000's), OIL = annual oil prices, EXP = yearly total exports
(S000's) and FDI = annual foreign direct investment ($000's). The sample of data was processed
using MINITAB and the following is an extract of the output obtained:
Predictor
Coef
StDev
t-ratio
p-value
Constant 5491.38 2508.81
2.1888
0.0491
OIL
85.39
18.46
4.626
0.0006
EXP
-377.08
112.19
0.0057
FDI
-396.99
160.66
-2.471
s - 2.45
R-sq = 96.3%
R-sq(adj) = 95.3%
Analysis of Variance
Source
DF
MS
F
Regression
3
1991.31 663.77
??
Error
12
43. רר
6.45
Total
15
a) What is dependent and independent variables?
b) Fully write out the regression equation
c) Fill in the missing values **', **', '?'and *??"
Chapter 5 Solutions
Introduction to Statistics and Data Analysis
Ch. 5.1 - For each of the scatterplots shown, answer the...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - Is the following statement correct? Explain why or...Ch. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.1 - The accompanying data are x = Cost (cents per...Ch. 5.1 - The authors of the paper Flat-footedness Is Not a...Ch. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - The accompanying data were read from graphs that...
Ch. 5.1 - It may seem odd, but one of the ways biologists...Ch. 5.1 - An auction house released a list of 25 recently...Ch. 5.1 - A sample of automobiles traversing a certain...Ch. 5.2 - Two scatterplots are shown below. Explain why it...Ch. 5.2 - The authors of the paper Statistical Methods for...Ch. 5.2 - Prob. 16ECh. 5.2 - A sample of 548 ethnically diverse students from...Ch. 5.2 - The relationship between hospital patient-to-nurse...Ch. 5.2 - Prob. 19ECh. 5.2 - Prob. 20ECh. 5.2 - Studies have shown that people who suffer sudden...Ch. 5.2 - The data given in the previous exercise on x =...Ch. 5.2 - An article on the cost of housing in Califomia...Ch. 5.2 - The following data on sale price, size, and...Ch. 5.2 - Explain why it can be dangerous to use the...Ch. 5.2 - The sales manager of a large company selected a...Ch. 5.2 - Explain why the slope b of the least-squares line...Ch. 5.2 - Prob. 28ECh. 5.3 - Does it pay to stay in school? The report Trends...Ch. 5.3 - The data in the accompanying table is from the...Ch. 5.3 - Prob. 31ECh. 5.3 - Prob. 32ECh. 5.3 - Some types of algae have the potential to cause...Ch. 5.3 - Prob. 34ECh. 5.3 - Prob. 35ECh. 5.3 - Prob. 36ECh. 5.3 - The article Examined Life: What Stanley H. Kaplan...Ch. 5.3 - Prob. 38ECh. 5.3 - The article California State Parks Closure List...Ch. 5.3 - The article referenced in the previous exercise...Ch. 5.3 - A study was carried out to investigate the...Ch. 5.3 - Both r2 and se are used to assess the fit of a...Ch. 5.3 - Prob. 43ECh. 5.4 - Prob. 44ECh. 5.4 - The paper Aspects of Food Finding by Wintering...Ch. 5.4 - Food intake of grazing animals is limited by the...Ch. 5.4 - Prob. 47ECh. 5.4 - Prob. 48ECh. 5.4 - The paper Population Pressure and Agricultural...Ch. 5.4 - Determining the age of an animal can sometimes be...Ch. 5.5 - The paper How Lead Exposure Relates to Temporal...Ch. 5.5 - The following quote is from the paper Evaluation...Ch. 5 - The accompanying data represent x = Amount of...Ch. 5 - The paper A Cross-National Relationship Between...Ch. 5 - The following data on x = Score on a measure of...Ch. 5 - Prob. 58CRCh. 5 - Prob. 59CRCh. 5 - Prob. 60CRCh. 5 - The paper Effects of Canine Parvovirus (CPV) on...Ch. 5 - The paper Aspects of Food Finding by Wintering...Ch. 5 - Data on salmon availability (x) and the percentage...Ch. 5 - No tortilla chip lover likes soggy chips, so it is...Ch. 5 - The article Reduction is Soluble Protein and...Ch. 5 - An accurate assessment of oxygen consumption...Ch. 5 - Consider the four (x, y) pairs (0, 0), (1, 1), 1,...Ch. 5 - Prob. 1CRECh. 5 - Data from a survey of 1046 adults age 50 and older...Ch. 5 - Prob. 3CRECh. 5 - Prob. 4CRECh. 5 - Prob. 5CRECh. 5 - In August 2009, Harris Interactive released the...Ch. 5 - Prob. 7CRECh. 5 - Prob. 8CRECh. 5 - Prob. 9CRECh. 5 - Prob. 10CRECh. 5 - Prob. 11CRECh. 5 - Prob. 12CRECh. 5 - Prob. 13CRECh. 5 - Cost-to-charge ratios (the percentage of the...Ch. 5 - Prob. 15CRECh. 5 - In the article Reproductive Biology of the Aquatic...Ch. 5 - Prob. 17CRECh. 5 - Prob. 18CRECh. 5 - The paper “Population Pressure and Agricultural...Ch. 5 - Anabolic steroid abuse has been increasing despite...Ch. 5 - Prob. 69ECh. 5 - Prob. 70ECh. 5 - Prob. 71ECh. 5 - Prob. 72ECh. 5 - Suppose the hypothetical data below are from a...Ch. 5 - Prob. 74E
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