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WebAssign - JMP Statistics 1/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 26 / 28

Due : Sunday, January 27, 2030 23:30 EST

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3
6/6 5/5 15/17
Total
26/28 (92.9%)

  • Instructions

    JMP statistical discovery software from SAS is the tool of choice for scientists, engineers and other data explorers in almost every industry and government sector. WebAssign's JMP Statistics Question Bank presents real life examples using the JMP interactive applet to display the data. Students then use the applet to answer a series of questions. This question bank covers most introductory statistics topics and features simulations, solutions and question feedback.

    Question 1 uses data on characteristics of a random sample of diamonds and presents this data in histograms by each characteristic. Students are then asked a series of questions that must use the interactive features of the JMP applet to answer.

    Question 2 uses data from critic and audience ratings on the website Rotten Tomatoes and displays this data in a scatterplot and histogram by movie genre using JMP. Students are then asked to draw conclusions about the relationship between these ratings based on the data or a subset of the data presented in the applet.

    Question 3 uses a regression plot in JMP to compare the weight and height of a class of 40 students. Students are then asked a series of questions that they must use the Regression Plot and Prediction Profiler for the least-squares regression line in the JMP applet to answer. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

    The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 6/6 points  |  Previous Answers JMPStat1 1.2.001. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
1/1 1/1 1/1 1/1 1/1 1/1
2/50 1/50 2/50 2/50 1/50 2/50
Total
6/6
 
    Diamonds are classified by carat weight, clarity, color and the quality of the cut. Data from a random sample of 50 diamonds was used to create the given JMP output. The variables considered were price, cut, carat weight, clarity and color. Use the JMP output to answer the questions below.

  • JMP Applet

  • (a)

    Which of carat weight, cut, color or clarity best distinguishes between diamonds with a price of less than $5,000 and those with a price of $5,000 or greater?
         Correct: Your answer is correct.

  • (b)

    Which of the following statements best characterizes the diamonds with a price that is less than $3,000?
         Correct: Your answer is correct.

  • (c)

    What is the clarity of the highest priced diamond?
         Correct: Your answer is correct.

  • (d)

    What do the two highest priced diamonds have in common?
         Correct: Your answer is correct.

  • (e)

    There is one diamond that was classified as an outlier in terms of carat weight. Which of the following describes this diamond?
         Correct: Your answer is correct.

  • (f)

    There are two diamonds that are classified as Ideal for cut. Which of the following describes the diamond with the smaller carat weight?
         Correct: Your answer is correct.


Solution or Explanation
(a)
Carat weight. Selecting the bars in the price histogram that correspond to diamonds with prices less than $5,000 show that these diamonds are less than 1.25 carats in weight. Selecting the bars in the price histogram that correspond to diamonds with prices more than $5,000 show that these diamonds are more than 1 carat in weight. There is more variety in the cut, color and clarity ratings of these diamonds.
(b)
They are small diamonds with weights less than 1 carat. Selecting the bars in the price histogram that correspond to diamonds with prices less than $3,000 show that these diamonds are less than 1 carat in weight. There is more variety in the cut, color and clarity ratings of these diamonds.
(c)
SI2. This can be seen by selecting the diamond with the highest price, between $9,000 and $10,000, in the price histogram.
(d)
They have the same clarity classification. The two highest priced diamonds can be identified in the price histogram: one with a price between $8,000 and $9,000 and one with a price between $9,000 and $10,000. Selecting these two bars in the price histogram show that the two diamonds have the same clarity classification (SI2), but different carat weight, color and cut.
(e)
It is the diamond in the data set that has the highest price. The diamond that is an outlier in terms of carat weight is between 2 and 2.25 carats since all other diamonds are less than 1.75 carats, with most being less than 1.25 carats. Selecting the corresponding bar in the carat weight histogram shows that the largest diamond is the only data point in the price histogram with a price between $9,000 and $10,000, which is the highest value.
(f)
None of the above. Based on the histograms, the smaller diamond that is classified as Ideal for cut has a carat weight of between 0.25 and 0.5 carats and a price either between $1,000 and $2,000 or between $6,000 and $7,000. We can further determine that the price is actually between $1,000 and $2,000 since all diamonds that are less than 0.5 carats have a price less than $2,000. However, the actual price of the smaller Ideal-cut diamond cannot be determined based on the histograms alone, only that it is less than $2,000. Therefore we cannot say that it is the lowest-priced diamond in this data set. In fact, the diamond costs $1,367 whereas the lowest-priced diamond is $1,018.
Your work in question(s) will also be submitted or saved.
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2. 5/5 points  |  Previous Answers JMPStat1 3.1.001. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5
1/1 1/1 1/1 1/1 1/1
1/50 2/50 2/50 1/50 1/50
Total
5/5
 
    The website Rotten Tomatoes rates movies on a scale of 0 to 100. The site provides a rating based on the published reviews of movie critics and also provides a rating based on audience surveys. The critics' rating (called the Rotten Tomatoes Score) and audience score for all movies release in 2011 were used to produce the JMP output below.

  • JMP Applet

  • (a)

    Based on the scatterplot, does there appear to be a relationship between audience score and Rotten Tomatoes Score?
         Correct: Your answer is correct.

  • (b)

    Which of the following best describes the relationship between audience score and Rotten Tomatoes Score?
         Correct: Your answer is correct.

  • (c)

    Which of the following would be closest to the value of the correlation coefficient for audience score and Rotten Tomatoes Score?
         Correct: Your answer is correct.

  • (d)

    Is the relationship between audience score and Rotten Tomatoes score stronger for movies that are classified as drama or for movies that are classified as comedy?
         Correct: Your answer is correct.

  • (e)

    The values of the correlation coefficients between audience score and Rotten Tomatoes score for drama and comedy are 0.55 and 0.81. Which genre has the correlation coefficient of 0.55?
         Correct: Your answer is correct.


Solution or Explanation
(a)
Yes. There is a linear pattern in the scatterplot, so there is a relationship.
(b)
Strong positive relationship. The value of audience score tends to increase as the value of Rotten Tomatoes score increases, so the relationship is positive. There is a pronounced linear pattern in the scatterplot, so the relationship is strong.
(c)
0.8. The correlation coefficient will be positive because the relationship is positive. Because the relationship is strong, the correlation coefficient would be closer to +1 than to 0.
(d)
Comedy. When the points for each genre are highlighted in the scatterplot, there is a much stronger linear pattern for the movies that were classified as comedy.
(e)
Drama. Since the linear relationship is stronger for comedy, the value of the correlation coefficient for dramas would be closer to 0 than the value for comedies.
Your work in question(s) will also be submitted or saved.
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3. 15/17 points  |  Previous Answers JMPStat1 3.3.002. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
–/1 1/1 1/1 –/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1
0/50 1/50 2/50 0/50 1/50 2/50 2/50 2/50 2/50 2/50 2/50 2/50 2/50 2/50 2/50 1/50 1/50
Total
15/17
 
    A class of 40 students, aged 12, was measured for weight and height. The results are included in the JMP output below, along with the linear regression output.

  • JMP Applet

  • (a)

    What is the name, height, and weight of the shortest student in the class?
    name height Correct: Your answer is correct. seenKey

    51

         inches     weight Correct: Your answer is correct. seenKey

    79

         lbs

  • (b)

    What is the name, height, and weight of the tallest student in the class?
    name height Correct: Your answer is correct. seenKey

    70

         inches     weight Correct: Your answer is correct. seenKey

    172

         lbs

  • (c)

    What is the Least-Squares Regression Line (LSRL) for this data? (Round your answers to three decimal places)
    weight$\widehat{\hspace{.5in}}$ = Correct: Your answer is correct. seenKey

    -127.145

         + 
     Correct: Your answer is correct. seenKey

    3.711

         ✕ height

  • (d)

    If the height was 0", what would be the predicted weight? (Round your answer to the nearest integer.)
    Correct: Your answer is correct. seenKey

    -127

         lbs
    Does this weight make sense?
         Correct: Your answer is correct.

  • (e)

    Suppose the height of the child was 10 inches tall, what would be the predicted weight? (Round your answer to the nearest integer.)
    Correct: Your answer is correct. seenKey

    -90

         lbs
    Does this weight make sense?
         Correct: Your answer is correct.

  • (f)

    If we are going to make a weight prediction from a given height, we should only use height values that are between the maximum and minimum heights. What is the range of heights that we should use to predict a weight?
    Correct: Your answer is correct. seenKey

    51

         to Correct: Your answer is correct. seenKey

    70

         inches

  • (g)

    What is the predicted weight for a child that is 69" tall? (Round your answer to the nearest integer.)
    Correct: Your answer is correct. seenKey

    129

         lbs
    Does this weight make sense?
         Correct: Your answer is correct.

  • (h)

    Find the data point on the graph that corresponds to the child with a height of 69". Is the predicted weight found in the previous question greater than, less than, or equal to the actual value of their weight?
    The predicted weight is Incorrect: Your answer is incorrect. seenKey

    greater than

         the actual value of the child's weight.
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