The table shows the marks obtained by some candidates in Physics (y) and Mathematics (x) tests. Mathematics 43 46 48 39 30 60 8 45 40 Physics 54 53 63 30 44...

The table shows the marks obtained by some candidates in Physics (y) and Mathematics (x) tests.

(a)(i) Represent this information on a scatter diagram.

(ii) Find \(\bar{x}\) and \(\bar{y}\), the mean of x and y respectively.

(iii) Draw the line of best fit to pass through (x, y).

(b) Find the equation of the line in a(iii).

(c) Use your equation in (b) to find, correct to one decimal place, the mark in Physics for a candidate who scored 28 in Mathematics.