Exam 2: Describing Data

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Use the following to answer the questions below: A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (in grams) based on the length of the porcupine (in cm). Her least squares regression equation is Use the following to answer the questions below: A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (in grams) based on the length of the porcupine (in cm).  Her least squares regression equation is   where M is the mass. -Another variable that the biologist recorded was the chest circumference (in cm) of the porcupines. Explain what both a negative and a positive association between body mass and chest circumference would mean. Which is more plausible in this situation? where M is the mass. -Another variable that the biologist recorded was the chest circumference (in cm) of the porcupines. Explain what both a negative and a positive association between body mass and chest circumference would mean. Which is more plausible in this situation?

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Use the statement to answer the following questions below. -A Fun-Size bag of M&M's contains 4 green, 4 red, 3 yellow, 4 orange, 4 blue, and 3 brown candies. What proportion of the M&M's are green? Use four decimal places in your answer.

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Use the following to answer the questions below: Identify which graphical display might be appropriate in each case. Select all that apply. -Investigate the relationship between the number of hours of exercise per week and athlete or not for a sample of students at a small university.

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Use the dataset to compute the following summary statistics in the questions below. -Use the dataset to compute the following summary statistics in the questions below. -  Mean (rounded to two decimal places) Mean (rounded to two decimal places)

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Use the following to answer the questions below: A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (in grams) based on the length of the porcupine (in cm). Her least squares regression equation is Use the following to answer the questions below: A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (in grams) based on the length of the porcupine (in cm).  Her least squares regression equation is   where M is the mass. -Interpret the slope of the least squares regression line, in the context of the situation. where M is the mass. -Interpret the slope of the least squares regression line, in the context of the situation.

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Use the following to answer the questions below: February 12, 2009 marked the 200 th anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table. ‪ Use the following to answer the questions below: February 12, 2009 marked the 200 <sup>th</sup> anniversary of Charles Darwin's birth. To celebrate, Gallup, a national polling organization, surveyed 1,018 Americans about their education level and their beliefs about the theory of evolution. The survey results are displayed in the provided two-way table. ‪   -What proportion of respondents have no opinion on the theory of evolution? Round your answer to two decimal places. -What proportion of respondents have no opinion on the theory of evolution? Round your answer to two decimal places.

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Use the following to answer the questions below: The provided histogram displays the number of Facebook friends for students in a small statistics class. Use the following to answer the questions below: The provided histogram displays the number of Facebook friends for students in a small statistics class.    -The median number of Facebook friends is likely closest to which value? -The median number of Facebook friends is likely closest to which value?

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Use the following to answer the questions below: Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table. Use the following to answer the questions below: Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table.    -What is the explanatory (X) variable? -What is the explanatory (X) variable?

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Use the following to answer the questions below: Scores on an exam (out of 100 points) given in a large introductory statistics course are displayed in the provided histogram. Use the following to answer the questions below: Scores on an exam (out of 100 points) given in a large introductory statistics course are displayed in the provided histogram.     -Based on the histogram, the standard deviation of the exam scores is likely closest to which of these values? -Based on the histogram, the standard deviation of the exam scores is likely closest to which of these values?

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Use the following to answer the questions below: Match the five-number summary to the appropriate boxplot. Use the following to answer the questions below: Match the five-number summary to the appropriate boxplot.    -  3, 10, 12, 13, 19 - 3, 10, 12, 13, 19

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Use the following to answer the questions below: Match the correlation to the corresponding scatterplot. Use the following to answer the questions below: Match the correlation to the corresponding scatterplot.    -________ 0.889 -________ 0.889

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Use the following to answer the questions below: The midrange is another way to measure of the center of a distribution. The midrange of a dataset is defined to be the average of the minimum and maximum values in the dataset. -Calculate the midrange of this dataset. Use the following to answer the questions below: The midrange is another way to measure of the center of a distribution. The midrange of a dataset is defined to be the average of the minimum and maximum values in the dataset. -Calculate the midrange of this dataset.

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Use the dataset to compute the following summary statistics in the questions below. -Use the dataset to compute the following summary statistics in the questions below. -  Range Range

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Use the following to answer the questions below: Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table. Use the following to answer the questions below: Trying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table.    -Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer. -Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer.

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Use the following to answer the questions below: Scores on an exam (out of 100 points) given in a large introductory statistics course are displayed in the provided histogram. Use the following to answer the questions below: Scores on an exam (out of 100 points) given in a large introductory statistics course are displayed in the provided histogram.     -Which best describes the shape of the distribution of exam scores? -Which best describes the shape of the distribution of exam scores?

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Use the following to answer the questions below: The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university. Use the following to answer the questions below: The provided Minitab output displays descriptive statistics for the amount of financial aid, in thousands of dollars, awarded to a sample of students at a large university.    -Based on the mean and median financial aid amounts displayed in the summary, which of the following most likely describes the shape of the distribution of financial aid amounts? -Based on the mean and median financial aid amounts displayed in the summary, which of the following most likely describes the shape of the distribution of financial aid amounts?

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Use the following to answer the questions below: The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots. Use the following to answer the questions below: The states located in the Midwestern region of the country typically experience a large number of tornados every year. The number of tornadoes from 2000-2011 for four Midwestern states (Kansas, Nebraska, South Dakota, and Iowa) are displayed in the side-by-side boxplots.    -Which state tends to see the fewest tornadoes per year? -Which state tends to see the fewest tornadoes per year?

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Use the following to answer the questions below: Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot. Use the following to answer the questions below: Students in an introductory statistics course were asked to count the number of scars on their dominant hand (the one they write with the most). The results are displayed in the provided boxplot.    -Use the boxplot to estimate the median number of scars that students in the class have on their dominant hand. -Use the boxplot to estimate the median number of scars that students in the class have on their dominant hand.

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Use the following to answer the questions below: Match the correlation to the corresponding scatterplot. Use the following to answer the questions below: Match the correlation to the corresponding scatterplot.    -________ -0.701 -________ -0.701

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Use the following to answer the questions below: One of the symptoms of the flu is an elevated pulse rate. Pulse rates (in beats per minute) for patients with the flu are provided. Use the following to answer the questions below: One of the symptoms of the flu is an elevated pulse rate. Pulse rates (in beats per minute) for patients with the flu are provided.    -Find the standard deviation of the pulse rates. Use two decimal places in your answer. -Find the standard deviation of the pulse rates. Use two decimal places in your answer.

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