Section 6.4 - Reasoning About Data

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    Which conjecture is supported by the data? - ProProfs

    Which conjecture is supported by the data?

    • The shorter the time between eruptions, the longer the eruption
    • The longer the time between eruptions, the longer the eruption
    • The longer the time between eruptions, the shorter the eruption
    • The time between eruptions remains constant, regardless of the length of the eruption.
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About This Quiz

This quiz assesses understanding of data trends and patterns, including best fit lines and correlations, to validate data-based conjectures.

Section 6.4 - Reasoning About Data - Quiz

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  • 2. 

    A data set the shows no clear trend or pattern can be used to

    • Write a conjecture

    • Support a conjecture

    • Reject a conjecture

    • Find an outlier

    Correct Answer
    A. Reject a conjecture
    Explanation
    If a data set shows no clear trend or pattern, it means that there is no consistent relationship or correlation between the variables being studied. In this case, it would not be appropriate to support or write a conjecture based on the data set, as there is no evidence or indication to support any particular claim or hypothesis. Therefore, the correct answer is to reject a conjecture, as there is no basis for making any assumptions or conclusions about the data set.

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  • 3. 
    Rebecca collected this data of the math grades of grade 9 students and the number of siblings each student has.  What conjecture is supported by the data? - ProProfs

    Rebecca collected this data of the math grades of grade 9 students and the number of siblings each student has.  What conjecture is supported by the data?

    • People with fewer siblings do better in math

    • People with 3 or more siblings do worse in math

    • People with no siblings do the best in math

    • People with more siblings do better in math

    Correct Answer
    A. People with more siblings do better in math
    Explanation
    The given data supports the conjecture that people with more siblings do better in math. This can be inferred from the fact that Rebecca collected data on the math grades of grade 9 students and the number of siblings each student has. By analyzing the data, it is likely that students with more siblings had higher math grades on average.

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  • 4. 
    What is the relationship between the variables - ProProfs

    What is the relationship between the variables

    • As temperature increases, the number of chirps decreases

    • The number of chirps remains constant regardless of temperature

    • The number of chirps increases as temperature increases

    • There is no relationship between the variables

    Correct Answer
    A. The number of chirps increases as temperature increases
    Explanation
    The correct answer is that the number of chirps increases as temperature increases. This suggests that there is a positive correlation between temperature and the number of chirps. As the temperature rises, the chirping of the insects also increases. This relationship implies that temperature plays a role in the behavior or physiology of the chirping insects, causing them to chirp more frequently when it is warmer.

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  • 5. 

    Which of these lines or curves of best fit would support a conjecture that as outside temperature increases, the fewer people go to the athletic club

    • A line of best fit that shows a positive slope

    • A line of best fit that shows a negative slope

    • A line of best fit that shows a zero slope

    • A curve of best fit that shows a slight upward curve

    Correct Answer
    A. A line of best fit that shows a negative slope
    Explanation
    A line of best fit that shows a negative slope would support the conjecture that as outside temperature increases, fewer people go to the athletic club. This means that as the temperature increases, the number of people going to the athletic club decreases. The negative slope indicates a negative correlation between temperature and the number of people going to the club.

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  • 6. 

    To support a conjecture, a plot must show which of the following?1) A positive correlation 2) A negatice correlation 3) A trend or pattern

    • 1 only

    • 2 only

    • 3 only

    • 1, 2, and 3

    Correct Answer
    A. 3 only
    Explanation
    To support a conjecture, a plot must show a trend or pattern. A trend or pattern in the data helps to establish a relationship or connection between the variables being studied. A positive or negative correlation is a specific type of trend or pattern, but it is not necessary for a plot to show a correlation in order to support a conjecture. Therefore, the correct answer is 3 only, as it encompasses the essential requirement for supporting a conjecture.

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  • 7. 
    Which point is an outlier for the data set? - ProProfs

    Which point is an outlier for the data set?

    • (16, 0.86)

    • (1.2, 0.94)

    • (114, 0.16)

    • (87.6, 1.1)

    Correct Answer
    A. (87.6, 1.1)
    Explanation
    The point (87.6, 1.1) is an outlier for the data set because it is significantly different from the other data points. The x-value of 87.6 is much larger than the other x-values, and the y-value of 1.1 is also larger compared to the other y-values. This point does not follow the general trend of the data and is considered an anomaly.

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  • 8. 

    When is it not valid to use the line of best fit to make prdications about the general population?

    • When the data set is small

    • When the data shows a smooth curve

    • When there is an outlier

    • When there is a negative slope

    Correct Answer
    A. When the data set is small
    Explanation
    When the data set is small, it may not be representative of the entire population, and therefore using a line of best fit to make predictions about the general population would not be valid. A small data set may not capture the full range of variability and trends present in the population, leading to inaccurate predictions.

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  • 9. 

    Suppose that you plot two variables on a scatter plot, and then draw a curve of best fit.  What does it mean if the curve faces downward?

    • The data show no relation

    • The data contradict the conjecture

    • There is not enough data

    • The data show an inverse relationship

    Correct Answer
    A. The data show an inverse relationship
    Explanation
    If the curve of best fit faces downward on a scatter plot, it means that there is an inverse relationship between the two variables being plotted. This means that as one variable increases, the other variable decreases. The data points on the scatter plot follow a pattern where higher values of one variable correspond to lower values of the other variable.

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  • 10. 
    Keren used the data in the table to make a conjecture about whether starting teacher salary and the amount spent per pupil are related.  To assure that her conjecture is valid, what should Keren do? - ProProfs

    Keren used the data in the table to make a conjecture about whether starting teacher salary and the amount spent per pupil are related.  To assure that her conjecture is valid, what should Keren do?

    • Rewrite her conjecture to include the outlier

    • Extend the curve of best fit

    • Use a line of best fit instead of a curve

    • Gather more data

    Correct Answer
    A. Gather more data
    Explanation
    To assure that her conjecture is valid, Keren should gather more data. This is because having a larger sample size can help to improve the accuracy and reliability of any statistical analysis or conclusions drawn from the data. By collecting more data, Keren can have a more comprehensive understanding of the relationship between starting teacher salary and the amount spent per pupil, and thus validate or refine her conjecture.

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Quiz Review Timeline (Updated): Aug 18, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Aug 18, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 15, 2008
    Quiz Created by
    Seixeiroda
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