A teacher believes there is a positive correlation between students' mathematics results (out of 100 marks) and their science results (out of 50 marks) such that the mathematics results may be a moderate predictor of the science results.

Total of the Mathematics results for the 6 students.

445

Total of the Science results for the 6 students.

148

Other totals which you may need.

SX ² = 34467

SY ² = 3692

SXY = 11160

(a) Calculate the regression equation for this data set.

(b) Is it appropriate for the teacher to predict students' mathematics results from their science results, using this equation? Give a reason for your answer.