The number of daily visitors to the famous 'Bondi Beach' in Sydney, Australia, and the daily temperature on those days were recorded for eight days in February. The table below shows this data and has been ordered in ascending order by temperature.
Temperature Number of visitors
20 405
21 448
22 481
23 527
24 565
25 601
27 688
28 729
The number of visitors to Bondi Beach varies linearly with the temperature.
a) Find the Pearson product-moment correlation coefficient.
b) Find the equation of the regression line y on x.
c) Use the equation of the regression line y on x to estimate the number of visitors to Bondi Beach during a day when the temperature is 26°C.