One of the assessments involved the student taking measurements of force and changes in length of a component, as shown in the table below.

Force(N) 0 20 40 60 80

Length(mm) 20 95 170 270 360

2) Use the table of measurements of length and force that you have been supplied with to complete the following activities:

(a) Plot a scatter graph for your given data. Describe what the scatter graph is indicating.

(b) Use the scatter graph to estimate the length of the component when a force of 57N is applied.

(c) Calculate the line of regression of length on force (Y on X).

(d) Calculate the regression coefficient.

(e) Explain what the regression coefficient indicates?

(f) Use the equation for the line of regression to predict the length for a force of 57N.

(g) Compare and comment on the calculated value with the value that you have determined from the scatter graph.