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. -Predict the body mass of a porcupine that is 51 cm long. Report your answer using one decimal place. where M is the mass. -Predict the body mass of a porcupine that is 51 cm long. Report your answer using one decimal place.

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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 has the largest IQR? -Which state has the largest IQR?

(Multiple Choice)
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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.    -Interpret the intercept of the least squares regression line in context. Does the interpretation make sense? -Interpret the intercept of the least squares regression line in context. Does the interpretation make sense?

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Use the following statement to answer the questions below. -The distribution of waiting times at the student health center is bell-shaped with a mean of 10 minutes and a standard deviation of 3. Find the z-score of someone who waits 5 minutes. Round your z-score to two decimal places. Be sure to specifically indicate if a wait time of 5 minutes is unusual.

(Multiple Choice)
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Use the following to answer the questions below: In a recent survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table. Use the following to answer the questions below: In a recent survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table.    -What proportion of respondents would prefer to stay at home? Round your answer to two decimal places. -What proportion of respondents would prefer to stay at home? Round your answer to two decimal places.

(Short Answer)
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Use the following to answer the questions below: The least squares regression line is displayed on the provided scatterplot. Note that the points are displayed with numbers (each point having its own number), rather than points. Use the following to answer the questions below: The least squares regression line is displayed on the provided scatterplot. Note that the points are displayed with numbers (each point having its own number), rather than points.    -Which point has the most extreme positive residual? -Which point has the most extreme positive residual?

(Multiple Choice)
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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. -One of the porcupines in the dataset had a body length of 51 cm and a body mass of 5,281 g. Calculate the residual for this porcupine. Use one decimal place in your calculation. where M is the mass. -One of the porcupines in the dataset had a body length of 51 cm and a body mass of 5,281 g. Calculate the residual for this porcupine. Use one decimal place in your calculation.

(Multiple Choice)
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Use the following to answer the questions below: In a survey conducted by the Gallup organization September 6-9, 2012, 1,017 adults were asked, "In general, how much trust and confidence do you have in the mass media-such as newspapers, TV, and radio-when it comes to reporting the news fully, accurately, and fairly?" 81 said that they had a "great deal" of confidence, 325 said they had a "fair amount" of confidence, 397 said they had "not very much" confidence, and 214 said they had "no confidence at all." -What proportion of respondents have a great deal of confidence in the media? Use two decimal places in your answer.

(Short 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 number of Facebook friends students in your class have.

(Multiple Choice)
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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 gender and left/right handedness for students in the class.

(Multiple Choice)
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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.    -Suppose Admissions has announced that 2,575 students have been accepted this year. Use your regression equation to predict the number of students that will enroll. -Suppose Admissions has announced that 2,575 students have been accepted this year. Use your regression equation to predict the number of students that will enroll.

(Essay)
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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 response (Y) variable? -What is the response (Y) variable?

(Multiple Choice)
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Use the dataset to calculate the following summary statistics in the questions below. Report each with one decimal place. -Use the dataset to calculate the following summary statistics in the questions below. Report each with one decimal place. -  Median Median

(Short Answer)
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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.    -Which answer best describes the following conclusion? There are no students with 2 scars on their dominant hand. -Which answer best describes the following conclusion? "There are no students with 2 scars on their dominant hand."

(Multiple Choice)
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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.    -________ -0.064 -________ -0.064

(Short Answer)
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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 has an outlier? -Which state has an outlier?

(Multiple Choice)
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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. -A scatterplot of the biologist's data, with the least squares regression line, is provided. There is a clear outlier in the lower left corner of the plot. How would removing this point from the dataset most likely affect the correlation between body length (cm) and body mass (g)?  where M is the mass. -A scatterplot of the biologist's data, with the least squares regression line, is provided. There is a clear outlier in the lower left corner of the plot. How would removing this point from the dataset most likely affect the correlation between body length (cm) and body mass (g)? 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. -A scatterplot of the biologist's data, with the least squares regression line, is provided. There is a clear outlier in the lower left corner of the plot. How would removing this point from the dataset most likely affect the correlation between body length (cm) and body mass (g)?

(Multiple Choice)
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Use the following to answer the questions below: In a recent survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table. Use the following to answer the questions below: In a recent survey, Gallup asked a sample of U.S. adults if they would prefer to have a job outside the home, or if they would prefer to stay home to care for the family and home. Partial results for the individuals who expressed a preference, broken down by gender, are displayed in the two-way table.    -Find the number of males who would prefer to stay at home. -Find the number of males who would prefer to stay at home.

(Short Answer)
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Use the dataset to calculate the following summary statistics in the questions below. Report each with one decimal place. -Use the dataset to calculate the following summary statistics in the questions below. Report each with one decimal place. -  Mean Mean

(Short 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.     -Based on the histogram of exam scores, which value is likely the median exam score? -Based on the histogram of exam scores, which value is likely the median exam score?

(Multiple Choice)
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