EBK BUSINESS STATISTICS
7th Edition
ISBN: 8220102743984
Author: STEPHAN
Publisher: PEARSON
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Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the
variables
margin; - the Net's margin of victory (number of points the Nets scored minus the number of
points their opponent scored) for game i, and
• home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in
their home arena) and equal to 0 when they are the away team (game i was played in the
opponent's arena).
I use the least-squares method to estimate the following regression model
margin = a + ßhome; + ei
Below is the Stata output corresponding to the estimated regression line:
regress margin home if team==== "Brooklyn Nets"
Source
Model
Residual
Total
margin
home
_cons
SS
1459.95122
15252.0488
16712
df
1
80
Coef. Std. Err.
MS
81 206.320988
8.439024 3.049595
-5.219512 2.156389
1459.95122
190.65061
t
Number of obs
F (1, 80)
Prob > F
R-squared.
Adj R-squared =
Root MSE
P>|t|
2.77 0.007
-2.42 0.018
82
7.66
0.0070
0.0874
0.0760
13.808
[95% Conf. Interval]…
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.]
Temperature (oC)(oC)
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Percent heat loss from beak
33
33
34
31
37
46
54
49
41
50
44
56
55
61
64
59
The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two decimal…
The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.]
Temperature (oC)(oC)
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Percent heat loss from beak
33
33
33
31
37
44
56
52
45
54
46
55
59
59
61
63
The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…
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- Q.1 An Electronic equipment used for the analysis and storage of the data in an industry has three identical input devices/ports. Different components of the electronic equipment are connected to each other as shown in Figure Q.1. Assume the following estimated reliability values of the components as shown in Table Q.1. Calculate the reliability of the electronic equipment operating successfully with at least one input device/port for 1000 hours? Also, estimate Mean Time to Failure (MTTF) for the electronic equipment for 1000 hrs. Table Q.1 Component Failure rate (2) x 10°, per hr Input device/Port Storage drive Central Processing Unit (CPU) Manual Key Pad Monitor/screen to display results 45 35 7 5 10 Input device 1 Monitor/ Storage device Manual Input device 2 CPU Кeурad screen Input Figure Q.1 device 3arrow_forwardb) A paint company has developed a new paint formula which should have a faster drying time compared to the old formula. Paint drying time is known to be normally distributed, and from previous tests it is known that the original paint formula has a mean drying time of M₁ = 45 min. The company's R&D scientists believe the new formula will have a mean drying time of μ₂ = 35 min (that is, they expect the new formula to dry an average of 10 min faster than the old formula, or that μ₁ −μ₂ = 10). They are early in the development process and are not sure what the population variances are. A scientist takes 15 samples of each paint formula and determines the mean drying time for each batch to be X₁ = 43 min and X₂ = 36 min with sample standard deviations equal to S₁ = 5.4 and s₂ = 3.7, respectively. Find a 99% confidence interval on the difference in average lifetime between the two populations (μ₁-M₂). <μ<arrow_forwardFour different formulations of an industrial glue are being tested. Each of the different formulations were randomly applied to joint parts of five test specimen and the tensile strength of the glue when it is applied to each test specimen is recorded. However, the tensile strength is also related to the application thickness. The data on the strength (in lbs) and thickness (in 0.01 inches) are shown in the following table. Assuming all assumptions for ANOVA/ANACOVA to be valid are satisfied, perform the NECESSARY tests of hypotheses to determine if there are differences on the different formulations of an industrial glue at 5% level of significance.arrow_forward
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