Draw a graph containing ten points that shows a strong negative correlation

Question

Draw a graph that shows a strong negative correlation.

Answer 1

What you are attempting to find is a linear regression
graph of the ten points. Let's analyze the problem
statement phrase "strong, negative correlation"......

"Strong" indicates that the ten plotted points are very
close to the equation of a straight line that will define,
or fit, the plot. The is very little "scatter," or space between
the line and each plotted point.

"Negative" simply means that the plotted points (and the
line) are generally decreasing left to right. "Positive" means

the plotted points are generally increasing left to right.

"Correlation" means how close all plotted points are to
lining up defining a straight line.  Correlation takes a value

of -1 to 1.  Your value will be close to -1 (strong, negative).  

If the correlation value is exactly 1 or -1, the plotted points

define a straight line and be on that line.  A correlation value

of zero will produce a graph of plotted points widely scattered

that a line cannot be used to plot a trend.  While the correlation

value has now been explained, the calculation of the correlation

value will not be discussed here.

 

Included is a graph of ten sample points and the equation 

of the the straight line in slope-intercept form that "best fits"

the listed plotted points.  View the graph at the following URL...

https://www.wyzant.com/resources/files/408605/linear_regression

 

The best fit linear equation for the ten plotted points reads.....

               y=-0.43606x+9.2433

The slope is negative, the points are relatively close to the

graphed line, so the correlation value will be approaching -1 

(actual value is -0.973).