Question

Based on the ordered pairs in the data below, state whether there is no correlation, a weak correlation or a strong correlation. If there is indeed correlations, determine whether the correlation is negative or positive.
x: 1 2 3 4 5 6 7 8 9
y:300,293,276,270,250,249,233,221,219

Answer 1

Answer:

The data is a strong correlation and correlation is negative.

Step-by-step explanation:

Given : Based on the ordered pairs in the data below:

x:   1      2        3        4       5       6        7        8        9

y:  300  293  276   270   250   249   233    221     219      

To find : Whether there is no correlation, a weak correlation or a strong correlation.

If there is indeed correlations, determine whether the correlation is negative or positive.    

Solution :    

On plotting the scatter plot on the basis of table of values,

We see that the relation is a strong correlation since we can find a relationship between variable x and y.

As the points will lie above or below the curve which is formed by connecting some points of the scatter plot and are not scattered away.

So, The data is a strong correlation.

Also the graph is a negative correlation since with the increasing value of x the y-value decreases.

So, The correlation is negative.

Refer the attached figure below.