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

- help_people

- jamiebookeater

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- help_people

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?

- welshfella

what do you think? as the number of hours on the internet increase what happens to the math score?

- help_people

decrease?

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- welshfella

yes - and also decrease very much in line

- welshfella

for every 0.5 hour on the internet the math score goes down 1 point
There is a definite negative correlation here.

- welshfella

there is just one exception to this rule - between 3 and 3.5 hours

- welshfella

where the mark drops by 2

- help_people

ok?

- help_people

so what would i say for pt a?

- welshfella

Just summarise the above - there's a definite negative correlation born out by the data.

- welshfella

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

- welshfella

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)

- welshfella

can you figure out m now? -1 / 0.5 = ?

- help_people

hold on srry

- help_people

-2

- help_people

- welshfella

right so our function is
y - -2x + 95
and the graph will look like

- help_people

whats the -- stand for

- help_people

or is the function y= -2x + 95?

- welshfella

|dw:1436710595000:dw|

- welshfella

yes its y = -2x + 95
- typo

- welshfella

the y intercept represents the mark when hours on i nternet = 0 and the downward slope slows a negative correlation

- welshfella

|dw:1436710836539:dw|

- welshfella

* shows a negative correlation

- welshfella

I think you can call it a strong negative correlation.

- help_people

this is what i put for pt c

- help_people

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).

- welshfella

Yes thats good

- help_people

THANK YOU XOXO :)

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