Question

Examine the scatter plot. a) Draw a line of best fit through the following data. [1] [1] b) Predict a correlation coefficient that would describe this data. c) Describe how the line of best fit would change without the influential point on the right d) The x-axis is amount of snowfall and the y-axis is cars on the road. Make a conclusion about this data,

Answer 1

Example of Scatter Plot.

Answer 1)

a) Please find attached the image for the solution.

b) As the correlation coefficient lies between -1 to 1, and here we can see a negative correlation so can definitely conclude it be between -1 to 0, and as seen by the best fit line, it can be predicted to be -0.5 if the outlier was not there, considereing there is an outlier too we can finally predict it as -0.45 .

c) If we remove the influential point then the line of best fit is going to shift downward as the outlier was pulling the line upwards, having a high value of y component even at a high x point.

d) Conclusion will be as the snowfall increase, there is a fall in the number of cars that are present on the road.