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4 votes
The tables below show four sets of data:

Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11


Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9


For which set of data will the scatter plot represent a negative linear association between x and y? (4 points)


Set A
Set B
Set C
Set D

2 Answers

3 votes

Answer:

it is set a

Explanation:

User Ryuusenshi
by
7.6k points
3 votes

Answer:

Hence, the set that represent a negative linear association between x and y is:

Set A.

Explanation:

We are given 4 sets of data as:

Set A

x 1 2 3 4 5 6 7 8 9

y 10 9 8 7 6 5 4 3 2

Set B

x 1 2 3 4 5 6 7 8 9

y 3 4 5 6 7 8 9 10 11

Set C

x 1 2 3 4 5 6 7 8 9

y 8 6 5 4 3.5 3 2.5 2 2

Set D

x 1 2 3 4 5 6 7 8 9

y 1 2.5 2.5 3 4 5 6 8 9

We are asked to determine the set which represent negative linear association between x and y?

  • Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
  • In set C the relationship is non-linear though it is negative.
  • Clearly in Set A we could see that the the y is related to x as:

y=11-x or y= -x+11.

Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.

Hence, the set that represent a negative linear association between x and y is:

Set A.

The tables below show four sets of data: Set A x 1 2 3 4 5 6 7 8 9 y 10 9 8 7 6 5 4 3 2 Set-example-1
User Lishu
by
8.9k points

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