The M 140 module team is interested in how the percentage of M 140 students studying for a Maths and Stats degree has changed over the years. (a) Using the data in students.mwx, obtain a scatterplot of the percentage of students studying for a Maths and Stats degree (on the vertical axis) against year. Include this scatterplot in your answer. Interpret this scatterplot, giving reasons for your interpretation. (b) The correlation coefficient for your scatterplot of the percentage of students studying for a Maths and Stats degree and year is O. 153. With reference to the scatterplot you obtained in part (a), state whether this correlation coefficient provides a good representation of the strength of the relationship between the percentage of M 140 students studying for a Maths and Stats degree and the year. Justify your answer. (c) The correlation coefficient for the percentage of students studying for a Maths degree and year is +0.092. Without producing another scatterplot, explain what this tells you about how a scatterplot of the percentage of students studying for a Maths degree against year would look. Give reasons for your answer.