make a scatter plot the data in the table. describe the correlation of the data.   x  -4  -3    1    2    3   7                                                                               y   7    4    2  -3  -4   -8 can yoy show me the calculations and graph also.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Plot the following points: (-4,7),(-3,4),(1,2),(2,-3),(3,-4),(7,-8)

You will not connect the points -- the graph is just the points plotted in the coordinate plane.

If you look at the points, you should notice that as you scan from left to right (the x values are increasing), that the y-values are decreasing. This indicates that there is a negative correlation between the sets of data.

Unless you are in a statistics class, the answer will be the plot of the six points and that there is a strong negative correlation.


I do not think that you are being asked to find the actual correlation coefficient, but here it is:

Build a table with the headings `x,y,xy,x^2,y^2` ; then find the sum of each column. In summation notation find `sum x, sum y, sum xy, sum x^2, sum y^2` .

The formula for the correlation coefficient is:




The correlation coefficient is approximately -.968 which is strongly negative. (The most negative correlation is -1.)

Approved by eNotes Editorial Team

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial