stats 10 quiz4

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2/20/22, 12:01 PM Quiz 4: 22W-STATS-10-LEC-4 Introduction to Statistical Reasoning https://bruinlearn.ucla.edu/courses/79251/quizzes/778520 1/8 Quiz 4 Due Jan 28 at 11:59pm Points 10 Questions 10 Available after Jan 28 at 8am Time Limit None Instructions Attempt History Attempt Time Score LATEST Attempt 1 22 minutes 10 out of 10 Score for this quiz: 10 out of 10 Submitted Jan 28 at 12:17pm This attempt took 22 minutes. General Quiz Information The purpose of this quiz is to help you check your understanding of Week 4 materials . The quiz is not timed and it's open book/notes. You must complete and submit your answers for each quiz by the due date. Please work on the quiz independently. If you experience a technical problem that interferes with your ability to complete a quiz during the specified time, contact your instructor as soon as possible—you don't have to wait until the quiz has closed 1 / 1 pts Question 1 Suppose the number of hours of sleep students gets per night has a unimodal and symmetric distribution with a mean of 7 hours and a standard deviation of 1.5 hours. Approximately what percent of students sleep between 7 and 8.5 hours per night?
2/20/22, 12:01 PM Quiz 4: 22W-STATS-10-LEC-4 Introduction to Statistical Reasoning https://bruinlearn.ucla.edu/courses/79251/quizzes/778520 2/8 16% 24% 34% Correct! Correct! 68% 1 / 1 pts Question 2 Suppose the distribution of the number of hours students spend on study per day is unimodal and symmetric with a mean of 8 hours and a standard deviation of 0.5 hours. We expect about 95% of all people work between ______ and ______ hours per day. 7.5 and 8.5 hours 7.5 and 9 hours 7 and 8.5 hours 7 and 9 hours Correct! Correct! 1 / 1 pts Question 3 Suppose the distribution of study hours of students in a class is unimodal and symmetric. If a student Adam's z-score for his study hours was -1.3, explain what this value means in terms of the number of hours he works.
2/20/22, 12:01 PM Quiz 4: 22W-STATS-10-LEC-4 Introduction to Statistical Reasoning https://bruinlearn.ucla.edu/courses/79251/quizzes/778520 3/8 Adam studies 1.3 hours more than the average person. Adam studies 1.3 hours less than the average person. The number of hours Adam studies is 1.3 standard deviations below the mean. Correct! Correct! The number of hours Adam studies is 1.3 standard deviations above the mean. 1 / 1 pts Question 4 Answer 1: Answer 2: Suppose in a coastal city, the price of lobster per pound has a symmetrical and unimodal distribution with a mean of $10.45 and a standard deviation of $2.22. A local seafood store is selling lobster for $8.99 per pound. The z-score of the price at this local seafood store is -0.66 , this price is not unusual . -0.66 Correct! Correct! not unusual Correct! Correct! 1 / 1 pts Question 5 A study reported that the number of liquor stores in a neighborhood has a strong positive linear association with the amount of crime in that neighborhood.
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2/20/22, 12:01 PM Quiz 4: 22W-STATS-10-LEC-4 Introduction to Statistical Reasoning https://bruinlearn.ucla.edu/courses/79251/quizzes/778520 4/8 What can you determine about the relationship between the number of liquor stores and the amount of crime? People who live in neighborhoods with more liquor stores commit more crimes. If we decrease the number of liquor stores in a neighborhood, the amount of crimes will decrease. If we increase the number of liquor stores in a neighborhood, the amount of crimes will increase. Neighborhoods with a higher number of liquor stores tend to have a higher amount of crimes. Correct! Correct! 1 / 1 pts Question 6 If the point in the upper right corner were removed from the scatterplot, what will happen to the value of the correlation coefficient r?
2/20/22, 12:01 PM Quiz 4: 22W-STATS-10-LEC-4 Introduction to Statistical Reasoning https://bruinlearn.ucla.edu/courses/79251/quizzes/778520 5/8 r will become closer to 1 r will become closer to 0 r will become closer to -1 Correct! Correct! r will not change 1 / 1 pts Question 7 Which of the following statements is true regarding the correlation coefficient? The correlation coefficient is a value between 0 and 1 The correlation coefficient measures the strength of linearly related variables Correct! Correct! A correlation coefficient of 0 indicates that the two variables have no relationship at all The value of the correlation coefficient tells us whether the data is linear or nonlinear 1 / 1 pts Question 8 The administrators at an outdoor waterpark found that the hourly ticket sales are linearly related to the temperature (°F).
2/20/22, 12:01 PM Quiz 4: 22W-STATS-10-LEC-4 Introduction to Statistical Reasoning https://bruinlearn.ucla.edu/courses/79251/quizzes/778520 6/8 A linear regression model was fitted as follows: What is the predicted number of hourly tickets sales if the temperature is 90°F? About 301 tickets About 381 tickets Correct! Correct! About 336 tickets About 276 tickets 1 / 1 pts Question 9 An experiment was conducted to explore the relationship between the amount of plant food given to the plant and the number of fruits harvested from the plants. Suppose the relationship was found to be linear, the researchers want to fit a least-squares regression model to predict the number of fruits that could be harvested. The summary statistics were: Amount of plant food given (ml) Number of fruits harvested Mean 27.8 7.5 SD 2.1 1.5 r 0.769 The slope of the model is 0.55 (round to the nearest hundredth)
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2/20/22, 12:01 PM Quiz 4: 22W-STATS-10-LEC-4 Introduction to Statistical Reasoning https://bruinlearn.ucla.edu/courses/79251/quizzes/778520 7/8 Answer 1: Answer 2: The intercept of the model is -7.77 (round to the nearest hundredth) 0.55 Correct! Correct! 0.549 orrect Answer orrect Answer -7.77 You Answered You Answered -7.79 orrect Answer orrect Answer -7.76 orrect Answer orrect Answer 1 / 1 pts Question 10 The correlation coefficient (r) between two variables X and Y is 0.805. Which of the following statements is true about the coefficient of determination? The coefficient of determination is equal to approximately 0.648 Correct! Correct! The coefficient of determination shows that about 64.8% of the variation in Y can be explained by X Correct! Correct! The coefficient of determination shows that about 80.5% of the variation in Y can be explained by X The coefficient of determination cannot be determined
2/20/22, 12:01 PM Quiz 4: 22W-STATS-10-LEC-4 Introduction to Statistical Reasoning https://bruinlearn.ucla.edu/courses/79251/quizzes/778520 8/8 Quiz Score: 10 out of 10

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