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X + X G File 08%20FINAL.pdf G 3 of 3 Q + CD Page view | A Read aloud | Add text| Draw Highlight Erase P 503 MATHI206 Question 3 A. WeCare organises a street collection for a mental health charity. They do the collection in a busy town on the second Saturday of each month. Volunteers, with collecting tins, stand in shopping centres and ask shoppers for donations. The following table shows, for ten volunteers, the time (x minutes) they spent collecting and the amounts (to the nearest dollar, y) they collected. Volunteer A B C D E F G H J 65 187 126 52 143 90 157 74 88 195 21 55 23 8 28 27 44 19 17 47 Table 1 Ex = 162,217 Ey = 10,367 Exy = 40,373 1. Plot a scatter-diagram of the data. (4 marks) ii. Calculate the correlation coefficient, r. (7 marks) Write the equation of the LEAST squares regression line in the form y = a + bx. (4 marks) iV. Kathy, a new volunteer, collected for 100 minutes. Use your regression equation to estimate the amount Kathy collected. (2 marks) V. Use your regression equation to estimate the amount of time Sam spent volunteering if he collected $18.50 (3 marks) (Total 20 marks) 9 C Mostly cloudy ENG () O 10:35 am US 25/5/2022 2
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