Question

Which of the following data sets indicates a strong negative correlation?

Answer 1

Answer:

Option: C is the correct answer.

C.    {(-2, 4), (-1, 2), (0, 0), (1, -2) }

Step-by-step explanation:

Strong negative correlation--

A negative correlation is a relationship between two variable such that with the increase of one variable the other variable decrease and vice versa.

Negative correlation is also means the two variables have an inverse relationship.

Also, the relationship is strong if all the points lie above the line of best fit.

Hence, from the given set of data the set that represent the strong negative correlation is:

C.    {(-2, 4), (-1, 2), (0, 0), (1, -2) }

Since in this set the x-value is increasing by a constant rate i.e. 1 ( i.e. -2,-1,0 and 1) while the other value is decreasing by a constant rate i.e. 2 ( i.e. 4,2,0 and -2).

Hence, we will get a linear relationship such that all the points will lie above the line and the line of best fit have a negative slope.

Hence, the data set has a strong negative correlation.

Answer 2

Answer:

Option C is correct.

Step-by-step explanation:

Given data sets are  {(-3, 8), (-2, -6), (-1, 4), (0, -2)}   ,  {(-2, -4), (0, -2), (2, 0), (4, 2)}   and  {(-2, 4), (-1, 2), (0, 0), (1, -2)}

Strong negative correlation--

A negative correlation is a relationship between two variable such that with the increase of one variable the other variable decrease and vice versa.

Negative correlation is also means the two variables have an inverse relationship.

We plot all points on the graph then check which data set has strong negative correlation.

Pics are attached.

Clearly, from pic Set C has strong negative correlation as line in this graph has negative slope .i.e., when x increasing value of y decreasing.

Therefore, Option C is correct.