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	75	20	33	49

(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.