Exam 4: Numerical Descriptive Techniques

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If the coefficient of correlation r = ±\pm 1, then the best-fit linear equation will actually include all of the observations.

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What statistics and graphs can you use to answer the following question: Where is the approximate center of the distribution?

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The value of the mean times the number of observations equals the sum of the observations.

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The Y-intercept, b0, of the least squares line y~=b0+b1x\tilde { y } = b _ { 0 } + b _ { 1 } x represents the:

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The strength of the linear relationship between two interval variables can be measured by the:

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If the standard deviation of x is 18, the covariance of x and y is 120, the coefficient r = 0.90, then the standard deviation of y is 54.87.

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NARRBEGIN: Weights of Police Officer Weights of Police Officers The following data represent the weights in pounds of a sample of 25 police officers: 164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.NARREND -{Weights of Police Officers Narrative} Construct a relative frequency histogram for the data, using five class intervals and the value 130 as the lower limit of the first class.

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The ____________________ is the least effective of all the measures of variability.

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Which of the following statements is true?

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Percentiles can be converted into quintiles and deciles, where quintiles divide the data into fifths and deciles divide the data into tenths.

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NARRBEGIN: Credit Hours Credit Hours The College of Business at The State University of California produced 3,400 credit hours during Spring Semester, 2011he number and percentage of credit hours produced by each of the four departments in the College of Business is shown below. Department Percent Count Marketing 35.3 1.200 Management 23.5 800 Finance 23.5 800 Accounting 17.6 600 The following three-dimensional pie chart was constructed from the table above.  NARRBEGIN: Credit Hours Credit Hours The College of Business at The State University of California produced 3,400 credit hours during Spring Semester, 2011he number and percentage of credit hours produced by each of the four departments in the College of Business is shown below.  \begin{array} { | l | c c | }  \hline \text { Department } & \text { Percent } & \text { Count } \\ \hline \text { Marketing } & 35.3 & 1.200 \\ \text { Management } & 23.5 & 800 \\ \text { Finance } & 23.5 & 800 \\ \text { Accounting } & 17.6 & 600 \\ \hline \end{array}  The following three-dimensional pie chart was constructed from the table above.   NARREND -Briefly explain why the histogram below is misleading.   NARREND -Briefly explain why the histogram below is misleading.  NARRBEGIN: Credit Hours Credit Hours The College of Business at The State University of California produced 3,400 credit hours during Spring Semester, 2011he number and percentage of credit hours produced by each of the four departments in the College of Business is shown below.  \begin{array} { | l | c c | }  \hline \text { Department } & \text { Percent } & \text { Count } \\ \hline \text { Marketing } & 35.3 & 1.200 \\ \text { Management } & 23.5 & 800 \\ \text { Finance } & 23.5 & 800 \\ \text { Accounting } & 17.6 & 600 \\ \hline \end{array}  The following three-dimensional pie chart was constructed from the table above.   NARREND -Briefly explain why the histogram below is misleading.

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The denominator in the calculation of the sample covariance, cov (x,y), is:

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If the distribution of a data set were perfectly symmetric, the distance from Q1 to the median would always equal the distance from Q3 to the median in a box plot.

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NARRBEGIN: 2-Year Investment 2-Year Investment Suppose you make a 2-year investment of $5,000 and it grows by 100% to $10,000 during the first year. During the second year, however, the investment suffers a 50% loss, from $10,000 back to $5,000.NARREND -{2-Year Investment Narrative} Compare the values of the arithmetic and geometric means.

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If the correlation coefficient r = 1.00, then all the observations must fall exactly on:

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____________________ are extremely large or extremely small observations.

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NARRBEGIN: Ages of Senior Citizens Ages of Senior Citizens A sociologist recently conducted a survey of citizens over 65 years of age whose net worth is too high to qualify for Medicaid and who have no private health insurance. The ages of 22 uninsured senior citizens were as follows: 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 86, 87, 91, 92, 94, and 97.NARREND -{Ages of Senior Citizens Narrative} Calculate the mean age of the uninsured senior citizens

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The ____________________ measures the spread between the middle 50% of the observations.

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Given the following sample data: 420 610 625 500 400 450 550 650 480 565 y 2.80 3.60 3.75 3.00 2.50 2.70 3.50 3.90 2.95 3.30 a.Calculate the covariance and the correlation coefficient. b.Comment on the relationship between x and y. c.Determine the least squares line. d.Draw the scatter diagram and plot the least squares line.

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NARRBEGIN: Milk Demand Milk Demand A supermarket has determined that daily demand for milk containers has an approximate bell shaped distribution, with a mean of 55 containers and a standard deviation of six containers.NARREND -{Milk Demand Narrative} If the supermarket begins each morning with a supply of 67 containers of milk, how often will demand exceed the supply? (Give a percentage.)

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