Question

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

Answer 1

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?

Answer 2

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

Answer 3

decrease?

Answer 4

yes - and also decrease very much in line

Answer 5

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

Answer 6

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

Answer 7

where the mark drops by 2

Answer 8

ok?

Answer 9

so what would i say for pt a?

Answer 10

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

Answer 11

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

Answer 12

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)

Answer 13

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

Answer 14

hold on srry

Answer 15

-2

Answer 16

@welshfella

Answer 17

right so our function is
y - -2x + 95

and the graph will look like

Answer 18

whats the -- stand for

Answer 19

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