Exam 3: Descriptive Statistics and Analytics: Numerical Methods

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Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below. Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below.    It can be shown that for these data:   = 41.9,   = 17.8,   = 2352.9,   = 267.6,   (   −   ) = −270.2. Calculate b<sub>1</sub>. It can be shown that for these data: Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below.    It can be shown that for these data:   = 41.9,   = 17.8,   = 2352.9,   = 267.6,   (   −   ) = −270.2. Calculate b<sub>1</sub>. = 41.9, Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below.    It can be shown that for these data:   = 41.9,   = 17.8,   = 2352.9,   = 267.6,   (   −   ) = −270.2. Calculate b<sub>1</sub>. = 17.8, Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below.    It can be shown that for these data:   = 41.9,   = 17.8,   = 2352.9,   = 267.6,   (   −   ) = −270.2. Calculate b<sub>1</sub>. = 2352.9, Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below.    It can be shown that for these data:   = 41.9,   = 17.8,   = 2352.9,   = 267.6,   (   −   ) = −270.2. Calculate b<sub>1</sub>. = 267.6, Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below.    It can be shown that for these data:   = 41.9,   = 17.8,   = 2352.9,   = 267.6,   (   −   ) = −270.2. Calculate b<sub>1</sub>. ( Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below.    It can be shown that for these data:   = 41.9,   = 17.8,   = 2352.9,   = 267.6,   (   −   ) = −270.2. Calculate b<sub>1</sub>.Researchers wish to study fuel consumption rates based on speed. The data from the test car at 10 speeds are below.    It can be shown that for these data:   = 41.9,   = 17.8,   = 2352.9,   = 267.6,   (   −   ) = −270.2. Calculate b<sub>1</sub>. ) = −270.2. Calculate b1.

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A correlation coefficient close to −1 says x and y are highly related.

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Following a factor analysis of 15 personality characteristic ratings of politicians by a random sample of 40,000 registered voters, the following table of the first 7 factors and their corresponding eigenvalues and percentage of explained variation was produced. Which factors should an analyst choose when defining the characteristics of politicians? Following a factor analysis of 15 personality characteristic ratings of politicians by a random sample of 40,000 registered voters, the following table of the first 7 factors and their corresponding eigenvalues and percentage of explained variation was produced. Which factors should an analyst choose when defining the characteristics of politicians?

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In a statistics class, the following 10 scores were randomly selected: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the mean?

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The ________ is the positive square root of the sample variance.

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In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the 65th percentile?

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Using Chebyshev's Theorem, find the interval that contains at least 93.75 percent of all measurements when the mean = 2.549 and s = 1.828.

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When calculating the geometric mean, a quantity of 1 is added to the nth root of the product (1 + R1)(1 + R2) . . . (1 + Rn).

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The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. She took a random sample of the price of 10 computers, with the following results. $3,250, $1,127, $2,995, $3,250, $3,445, $3,449, $1,482, $6,120, $3,009, $4,000 What is the first quartile?

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The average lateness for one of the top airline companies is 10 minutes. The variance of the lateness measure is calculated as 9. An airplane arrived 13 minutes after the stated arrival time. Calculate the z-score for the lateness of this particular airplane.

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The following table shows the Price-to-Earnings ratio for a stereo equipment manufacturing company between 1998 and 2002. The annual percentage growth rate of the P/E ratios is also calculated and given below. The following table shows the Price-to-Earnings ratio for a stereo equipment manufacturing company between 1998 and 2002. The annual percentage growth rate of the P/E ratios is also calculated and given below.   Calculate the geometric mean growth rate increase or decrease over the period from 1998 to 2002. Calculate the geometric mean growth rate increase or decrease over the period from 1998 to 2002.

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At the end of 2007, the IRA owned by Joe Smith had a value of $1.2 million. With a rate of return of −29.75 percent in 2008 and a rate of return of 2.98 percent in 2009, calculate the geometric mean rate of return for the two-year period.

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The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. She took a random sample of the price of 10 computers, with the following results. $3,250, $1,127, $2,995, $3,250, $3,445, $3,449, $1,482, $6,120, $3,009, $4,000 What are the lower and upper limits of a box-and-whiskers display of this data?

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If the median of a data set is 760, the third quartile is 950, and the first quartile is 650, what is the interquartile range?

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Quality control is an important issue at ACME Company, which manufactures light bulbs. To test the life-hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted: 378, 361, 350, 375, 200, 391, 375, 368, 321. What is the mode?

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The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes). 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118 What is the IQR?

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As the coefficient of variation ________, risk ________.

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The median is the value below which and above which approximately 50 percent of the measurements lie.

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In a statistics class, 10 scores were randomly selected with the following results: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the third quartile?

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Quality control is an important issue at ACME Company, which manufactures light bulbs. To test the life-hours of their light bulbs, they randomly sampled nine light bulbs and measured how many hours they lasted (mean = 346.6). 378, 361, 350, 375, 200, 391, 375, 368, 321 What is the range?

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