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Chapter 3
Self-Study Quizzes
Multiple Choice
Multiple Choice
This activity contains 18 questions.
Calculate the median value of the following eight numbers: 14, 34, 50, 10, 24, 11, 32, 20.
22
20
24
24.4
Calculate the standard deviation of the following sample of size four: 3, 4, 7, 10.
10
2.74
7.5
3.16
The least squares method minimizes which of the following?
Sum of the absolute deviations from the line
Sum of the squared deviations from the line
The variance in the observed y-values
All of the above
If the sample correlation coefficient r
xy
is equal to -1.00, then
all the data points must fall exactly on a straight line when the slope equals 1.00.
all the data points must fall exactly on a straight line with a negative slope.
all the data points must fall exactly on a straight line with a positive slope.
all the data points must fall exactly on a horizontal straight line with a zero slope.
Calculate the interquartile range of the following 11 numbers: 14, 34, 50, 10, 24, 11, 32, 20, 9, 51, 7.
10
34
22
34
The strength of the linear relationship between two numerical variables may be measured by the
mean.
interquartile range.
coefficient of variation.
correlation coefficient.
In a simple linear regression problem, r
xy
and b
1
may have opposite signs.
must have the same sign.
must have opposite signs.
are equal.
Calculate the covariance of the following sample of four (x, y) pairs: (1, 4), (2, 9), (4, 6), and (5, 9).
0.438
0.583
0.225
0.842
Referring to Table 3-1, what is the estimated slope parameter for the candy bar price and sales data?
161.386
0.784
- 3.810
- 48.193
Referring to Table 3-1, if the price of the candy bar is set at $2, the predicted sales will be ________.
30
65
90
100
Which of the following statements about the median is NOT true?
It is more affected by extreme values than the mean.
It is a measure of central tendency.
It is equal to Q
2
.
It is equal to the mode in bell-shaped distributions.
In a perfectly symmetrical distribution
the mean equals the median.
the median equals the mode.
the mean equals the mode.
All the above
When extreme values are present in a set of data, which of the following descriptive summary measures are most appropriate?
CV and range
Mean and standard deviation
Median and interquartile range
Mode and variance
Calculate the correlation coefficient of the following sample of four (x, y) pairs: (1, 4), (2, 9), (4, 6), and (5, 9).
0.751
0.518
0.225
0.842
At a highway checkpoint, the average speed of a passing car was measured at 45 miles per hour with a standard deviation of 4 miles per hour. According to Chebychev's Theorem, what percentage of cars would you expect to be traveling between 33 and 57 miles per hour?
At least 50%
At least 75%
At least 88.9%
At least 99.7%
Referring to Table 2-3, the mean carbohydrates in this sample is ________ grams.
15.25
19.73
21.42
21.70
Referring to Table 2-3, the variance of the carbohydrate amounts is ________ (grams squared).
5.10
23.65
26.02
31.54
Which of the following is not part of the five-number summary?
Q1
Median
Q3
Mode
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