Question

WILL AWARD MEDAL!
A student is assessing the correlation between the average number of hours of playing video games in a week and average score on a math test for the students of a class. The table below shows the data:

Number of hours of playing video games
(x) 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5
Score on math test
(y) 90 88 86 84 82 80 78 76 74 72


Part A: Is there any correlation between the average number of hours of playing video games in a week and average score on the math test for the students of a class? Justify your answer.

Answer 1

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

@Alexandra675

Answer 3

@Clalgee

Answer 4

all i know is that there is a pattern between the numbers

Answer 5

the more hours on a video game the worse the score

Answer 6

so there is a correlation every half an hour there score decreases by 2

Answer 7

do ya got it

Answer 8

@cassious

Answer 9

okay so that would be part A. what are your thoughts for Part B and C?

Answer 10

im not so sure about those

Answer 11

:/ well thanks anyway

Answer 12

@amistre64

Answer 13

@CrazyMexican816 help @cassious

Answer 14

@marissalovescats

Answer 15

I'd say yes there is a correlation because as you can see the longer people play the games, the lower their test scores go

Answer 16

i already said that he needs b and c

Answer 17

Oh oops sorry

Answer 18

lol

Answer 19

Well for part A specifically you should say that each time they play the game for 0.5 hours more, their test score goes down 2 points.

Answer 20

For Part B you need what I just wrote for Part A.

I'd say

y-2=x+0.5

Answer 21

For Part C the slope shows the number of hours they are going up and the y intercept shows how their test scores are changing when they play more

Answer 22

THANK YOU!

Answer 23

thats a little off ....

Answer 24

Or I'm wrong :P

Answer 25

Happens to everyone some time around

Answer 26

since both x and y have a constant rate of change, they can be modeled with the equation of a line, but your parts of off.

Answer 27

the slope of the line is: change in y
---------
change in x

and is conventionally named by the variable m

once we know the slope, we can form the function using point slope format as you attemted: take a known point (a,b) to construct the equation as:

y - b = m(x-a), or more familiarly as: y = mx +(-ma+b)

Answer 28

y-2=x+0.5 has a slope of 1, and is attached to the point (.5,2) which does not correspond with the data given.

Answer 29

*the point (-.5,2) at best

Answer 30

so that would be for part B,correct?

Answer 31

that is the basic process for part B yes

part A is asking you to define the slope
part B is asking you to define the line equation
part C is asking you to use the line equation for find the value when x=0