Exam 4: Numerical Descriptive Techniques

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When two variables x and y are linearly related,it does not necessarily mean that x ____________________ y.

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Statisticians typically apply graphical techniques as a first step in a data analysis because we first need to know the shape of the distribution.

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Which of the following summary measures is affected most by extreme values?

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The coefficient of correlation r is a number that indicates the direction and the strength of the linear relationship between the dependent variable y and the independent variable x.

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Assuming a linear relationship between X and Y,if the coefficient of correlation (r)equals −0.75,this means that:

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The annual percentage rates of return over the past 10 years for two mutual funds are as shown below.Which fund would you classify as having the higher level of risk? The annual percentage rates of return over the past 10 years for two mutual funds are as shown below.Which fund would you classify as having the higher level of risk?

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____________________ techniques give you the big picture of a distribution and ____________________ techniques give you more precise details.

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Which of the following statements is true?

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What statistics and graphs can you use to answer the following question: Are the observations close to one another,or are they widely dispersed?

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

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Q2 is another name for the ____________________.

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In a histogram,the proportion of the total area which must be to the right of the mean is exactly 0.50 if the distribution is symmetric and unimodal.

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Ages of Volunteers ​ The following data represent the ages in years of a sample of 25 volunteers from a charitable organization: 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. ​ ​ -{Ages of Volunteers Narrative} Compute the coefficient of variation and express the number in the appropriate unit.

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Ages of Volunteers ​ The following data represent the ages in years of a sample of 25 volunteers from a charitable organization: 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. ​ ​ -{Ages of Volunteers Narrative} Compute the sample variance and sample standard deviation,and express the numbers in the appropriate units.

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How is the value of the correlation coefficient r affected in each of the following cases? a.Each x value and y is multiplied by 4. b.Each x value is switched with the corresponding y value. c.Each x value is increased by 2.

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The standard deviation is a measure of variability.

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Consider the following data: Consider the following data:    a.Calculate the covariance and the coefficient of correlation for the sample. b.What do these statistics tell you about the relationship between x and y? a.Calculate the covariance and the coefficient of correlation for the sample. b.What do these statistics tell you about the relationship between x and y?

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Which of the following summary measures cannot be easily approximated from a box plot?

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Expressed in percentiles,the fifth decile is the 50th percentile or the median.

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A box plot is a graphical representation of the 5-number summary.

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