Q:

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

Accepted Solution

A:
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.