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help_people

  • one year ago

A student is assessing the correlation between the average number of hours of internet browsing and average score on a math test for the students of a class. The table below shows the data: Number of hours of internet browsing (x) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Score on math test (y) 95 94 93 92 91 90 89 87 86 85

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  1. help_people
    • one year ago
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    Part A: Is there any correlation between the average number of hours of internet browsing and average score on the math test for the students of the class? Justify your answer. Part B: Write a function which best fits the data. Part C: What does the slope and y-intercept of the plot indicate?

  2. welshfella
    • one year ago
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    what do you think? as the number of hours on the internet increase what happens to the math score?

  3. help_people
    • one year ago
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    decrease?

  4. welshfella
    • one year ago
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    yes - and also decrease very much in line

  5. welshfella
    • one year ago
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    for every 0.5 hour on the internet the math score goes down 1 point There is a definite negative correlation here.

  6. welshfella
    • one year ago
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    there is just one exception to this rule - between 3 and 3.5 hours

  7. welshfella
    • one year ago
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    where the mark drops by 2

  8. help_people
    • one year ago
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    ok?

  9. help_people
    • one year ago
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    so what would i say for pt a?

  10. welshfella
    • one year ago
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    Just summarise the above - there's a definite negative correlation born out by the data.

  11. welshfella
    • one year ago
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    for part B the function will be of the form y = mx + b y = mark and x = hours on internet where m is the slope of the graph of the function and b = value of the marks when the hours = 0, m will be negative

  12. welshfella
    • one year ago
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    for every rise of 0.5 in hours mark decreases by 1 so m = -1/0.5 = ? and b = 95 ( the mark when x = 0)

  13. welshfella
    • one year ago
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    can you figure out m now? -1 / 0.5 = ?

  14. help_people
    • one year ago
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    hold on srry

  15. help_people
    • one year ago
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    -2

  16. help_people
    • one year ago
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    @welshfella

  17. welshfella
    • one year ago
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    right so our function is y - -2x + 95 and the graph will look like

  18. help_people
    • one year ago
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    whats the -- stand for

  19. help_people
    • one year ago
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    or is the function y= -2x + 95?

  20. welshfella
    • one year ago
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    |dw:1436710595000:dw|

  21. welshfella
    • one year ago
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    yes its y = -2x + 95 - typo

  22. welshfella
    • one year ago
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    the y intercept represents the mark when hours on i nternet = 0 and the downward slope slows a negative correlation

  23. welshfella
    • one year ago
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    |dw:1436710836539:dw|

  24. welshfella
    • one year ago
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    * shows a negative correlation

  25. welshfella
    • one year ago
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    I think you can call it a strong negative correlation.

  26. help_people
    • one year ago
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    this is what i put for pt c

  27. help_people
    • one year ago
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    The slope is a negative slope that also means negative correlation ( as the time on the internet goes up, scores go down). The y-intercept tells you the approximate score you expect when x=0 ( the score when you spend 0 hours on the internet).

  28. welshfella
    • one year ago
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    Yes thats good

  29. help_people
    • one year ago
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    THANK YOU XOXO :)

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