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, °C (x) 20 21 22 23 24 25 27 28 Number of visitors (y) 405 448 481 527 565 601 688 729 The number of visitors to Bondi Beach varies linearly with the temperature. (a) Find (i) Pearson's product-moment correlation coefficient, r; (ii) the equation of the regression line y on x. (b) Use the equation of the regression line y on x to estimate the number of visitors to Bondi Beach during a day the temperature is 26°C.

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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, °C (x)
20
21
22
23
24
25
27
28
Number of visitors (y)
405
448
481
527
565
601
688
729
The number of visitors to Bondi Beach varies linearly with the temperature.
(a) Find
(i) Pearson's product-moment correlation coefficient, r;
(ii) the equation of the regression line y on x.
(b) Use the equation of the regression line y on x to estimate the number of visitors to
Bondi Beach during a day the temperature is 26°C.
Transcribed Image Text: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, °C (x) 20 21 22 23 24 25 27 28 Number of visitors (y) 405 448 481 527 565 601 688 729 The number of visitors to Bondi Beach varies linearly with the temperature. (a) Find (i) Pearson's product-moment correlation coefficient, r; (ii) the equation of the regression line y on x. (b) Use the equation of the regression line y on x to estimate the number of visitors to Bondi Beach during a day the temperature is 26°C.
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