Exam 4: Numerical Descriptive Techniques

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NARRBEGIN: Experience and Salary Longevity and Salary A sample of eight observations of variables x (years of experience) and y (salary in $1,000s) is shown below: 5 3 7 9 2 4 6 y 20 23 15 11 27 21 17 14 NARREND -{Longevity and Salary Narrative} Determine the least squares line, and use it to estimate the value of y for x = 6.

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In a perfectly symmetric bell shaped "normal" distribution:

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If two data sets have the same range, the distances from the smallest to largest observations in both sets will be the same.

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Which of the following are measures of the linear relationship between two variables?

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In a negatively skewed distribution, the mean is smaller than the median and the median is smaller than the mode.

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σ\sigma is a population parameter and xˉ\bar { x } is a sample statistic.

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If xi=7587\sum x _ { i } = 7587 , yi=7106.4\sum y _ { i } = 7106.4 , n = 12, and the slope equals 0.5, then the y-intercept of the least squares line is b0 = 276.08.

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NARRBEGIN: Yearly Donations Yearly Donations The following data represent the yearly donations (in thousands of dollars) of a sample of 13 benefactors: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2.NARREND -{Yearly Donations Narrative} a.Describe the shape of distribution of donations based on the values of the quartiles. b.Give a possible reason for the shape of this data set, in terms of donations.

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NARRBEGIN: Ages of Jockeys Ages of Jockeys The following data represent the ages in years of a sample of 25 jockeys from a local race track: 31, 43, 56, 23, 49, 42, 33, 61, 44, 28, 48, 38, 44, 35, 40, 64, 52, 42, 47, 39, 53, 27, 36, 35, and 20.NARREND -{Ages of Jockeys Narrative} a.Construct a relative frequency histogram for the data. b.What does the histogram tell you about the distribution of the data?

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The units for the standard deviation are the same as the units for the original data (for example, feet, inches, etc.).

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A graph showing trends over time is called a(n) ____________________ chart.

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Another word for the mean of a data set is the ____________________.

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According to the Empirical Rule, if the data form a bell shaped normal distribution, approximately ____________________ percent of the observations will be contained within 2 standard deviations around the mean.

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NARRBEGIN: Ages of Jockeys Ages of Jockeys The following data represent the ages in years of a sample of 25 jockeys from a local race track: 31, 43, 56, 23, 49, 42, 33, 61, 44, 28, 48, 38, 44, 35, 40, 64, 52, 42, 47, 39, 53, 27, 36, 35, and 20.NARREND -{Ages of Jockeys Narrative} Compute the interquartile range of the data, and interpret its meaning.

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A line chart showing the number of crimes in Las Vegas from 2000 to 2005 may exhibit a totally different trend than a line chart showing the crime rate in Las Vegas from 2000 to 2005. (Crime rate is defined as number of crimes per 100,000 people.)

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NARRBEGIN: Hours of Playing Video Ga Hours of Playing Video Games Suppose that the following data provide the hours of playing video games per week for a sample of 15 high school students in Roanoke, Virginia: 5, 11, 25, 19, 18, 20, 27, 13, 8, 10, 15, 19, 18, 9, and 12.NARREND -{Hours of Playing Video Games Narrative} Determine the location and value of the first quartile.

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NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below. NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -Below are two line charts where the percentage return for a stock is shown over time. The two graphs are made from the same data set.     Explain why these two line charts look different. NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -Below are two line charts where the percentage return for a stock is shown over time. The two graphs are made from the same data set.     Explain why these two line charts look different. NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -Below are two line charts where the percentage return for a stock is shown over time. The two graphs are made from the same data set.     Explain why these two line charts look different. NARREND -Below are two line charts where the percentage return for a stock is shown over time. The two graphs are made from the same data set. NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -Below are two line charts where the percentage return for a stock is shown over time. The two graphs are made from the same data set.     Explain why these two line charts look different. NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -Below are two line charts where the percentage return for a stock is shown over time. The two graphs are made from the same data set.     Explain why these two line charts look different. Explain why these two line charts look different.

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NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below. NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -{Home Care Narrative} Which histogram makes the differences in the house calls appear to be the most dramatic? NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -{Home Care Narrative} Which histogram makes the differences in the house calls appear to be the most dramatic? NARRBEGIN: Home Care Home Care Data are collected on the number of house calls (x) made in a given week by each of 60 nurses in a certain hospital. The same data set is displayed in each of the three histograms below.       NARREND -{Home Care Narrative} Which histogram makes the differences in the house calls appear to be the most dramatic? NARREND -{Home Care Narrative} Which histogram makes the differences in the house calls appear to be the most dramatic?

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The median of a set of data is more representative than the mean when the mean is larger than most of the observations.

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NARRBEGIN: Yearly Donations Yearly Donations The following data represent the yearly donations (in thousands of dollars) of a sample of 13 benefactors: 26.5, 23.5, 29.7, 24.8, 21.1, 24.3, 20.4, 22.7, 27.2, 23.7, 24.1, 24.8, and 28.2.NARREND -{Yearly Donations Narrative} Compute and interpret the 90th percentile.

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