VOCAB For Test 2: 3-2 To 3-4, 10-2 & 10-3

7 September 2022
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question
Methods used that summarize or describe characteristics of data are called _______ statistics.
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descriptive
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A value at the center or middle of a data set is a(n) _____.
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measure of center
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Which of the following is NOT a measure of center? -census -mean -median -mode
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census
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Which of the following is NOT a characteristic of the mean? -The mean is relatively reliable. -The mean is called the average by statisticians. -The mean is sensitive to outliers. -The mean takes every data value into account.
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The mean is called average by statisticians.
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The measure of center that is the value that occurs with the greatest frequency is the
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mode
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Which of the following is always true? -For skewed data, the mode is farther out in the longer tail than the median. -The mean and median should be used to identify the shape of the distribution. -Data skewed to the right have a longer left tail than right tail. -In a symmetric and bell-shaped distribution, the mean, median, and mode are the same.
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In a symmetric and bell-shaped distribution, the mean, median, and mode are the same
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Which measure of variation is very sensitive to extreme values?
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Range
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Which of the following is NOT a property of the standard deviation? -The value of the standard deviation is never negative -The standard deviation is a measure of variation of all data values from the mean. -When comparing variation in samples with different means, it is good practice to compare the two sample standard deviations. -The units of the standard deviation are the same as the unites of the original data.
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When comparing variation in samples with different means, it is good practice to compare the two sample standard deviations.
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The Range Rule of Thumb roughly estimates the standard deviation of a data set as _______.
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S= RANGE/4
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For data sets having a distribution that approximately bell-shaped, ______ states that about 68% of all data values fall within one standard deviation from the mean.
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the Empirical Rule
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The square of the standard deviation is called the _______.
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variance
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When a data is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a ______.
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z-score
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A data value is considered ______ if its z-score is less than -2 or greater than 2.
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unusual
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Whenever a data value is less than the mean, ______.
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the corresponding z-score is negative
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Which of the following is NOT a value in the 5-number summary? -Median -Mean -Minimum -Q1
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Mean
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A _______ exists between two variables when the values of one variable are somehow associated with the values of the other variable.
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correlation
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When determining whether there is a correlation between two variables, one should be a ______ to explore the data visually.
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scatter-plot
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Which of the following statements about correlation is true? -We say that there is a positive correlation between x and y if there x-values increase as the corresponding y-values increase. -We say that there is a positive correlation between x and y if there is no distinct pattern in the scatter-plot. -We say that there is a negative correlation between x and y if the x-values increase as the corresponding y-values increase. -We say that there is a positive correlation between x and y if the x-values increase as the corresponding y-values decrease.
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We say that there is a positive correlation between x and y if the x-values increase as the corresponding y-values increase.
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The ________ measures the strength of the linear correlation between the paired quantitative x- and y-values in a sample.
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linear correlation coefficient r
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Which of the following is NOT a requirement in determining whether there is a linear correlation between two variables? -Any outliers must be removed if they are known to be errors. -If r>1, then there is a positive linear correlation. -The sample of paired data is sample random sample of quantitative data. -A scatter-plot should be visually show a straight-line pattern.
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If r>1, then there is a positive linear correlation
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Which of the following is NOT a property of the linear correlation coefficient r? -The value of r is always between -1 and 1 inclusive. -The value of r is not affected by the choice of x or y. -The value of r measure the strength of a linear relationship. -The linear correlation r is robust. This is, a single outlier will not affect the value of r.
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The linear correlation coefficient is robust. That is, a single outlier will not affect the value of r.
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Which of the following is NOT one of three common errors involving correlation? - Correlation does not imply causality. -The conclusion that correction implies causality. -The use of data based on averages. -Mistaking no linear correlation with no correlation
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Correlation does not imply causality
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When making predictions based on regression lines, which of the following is not listed as a consideration? -Use the regression equation for predictions only if the graph of regression line on the scatter-plot confirms that the regression line fits the point reasonably well. -Use the regression equation for prediction only if the linear correlation coefficient r indicates that there is a linear correlation between two variables. -Use the regression line for prediction only if the data go far beyond the scope of the available sample data. -If the regression equation does not appear to be useful for making predictions, the best predicted value of a variable is its point estimate.
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Use the regression line for prediction only if the data go far beyond the scope of the available sample data
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In a scatter-plot, a(n) _________ is a point lying far away from the other data points.
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outlier