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27 votes
27 votes
A teacher is assessing the correlation between the number of hours spent studying and the average score on a science test. The table shows the data:

Number of hours spent studying
()
0
0.5 1 1.5 2 2.5 3 3.5 4
Seore on science test
V)
57 62 67 72 77 82 87 99 97
Part A: Is there any correlation between the number of hours students spent studying and the score on the science test? Justify your answer

User Vladimir Kroz
by
2.4k points

1 Answer

18 votes
18 votes

Answer:

A.)

the correlation between the number of hours students spent studying and the score on the science test seems to be that the people who spent more time studying got a better score than the people who didn't/ did less.

B.)

y = a - b ^x

a = 57

b = 5

because every .5 hours adds 5 points to the score

y = 57 (5) ^x

and as a function

F(x)= 57(5)

C.)

slope: 10

y / x

5 / 0.5

= 10

y-intercept: 57

x is 0 and y is 57 that is the y-intercept

it has a positive slope.

User Ericalli
by
2.6k points
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