MDM4U_Lesson5Assessment_Akapil.docx

MDM4U_Lesson5Assessment_Akapil.docx - Task 1 1 Pie chart...

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Task 1: 1. Pie chart 2015 Canadian population Using Geogebra Geometry app to calculate angle, it is an approximate answer. a. As per the application, angle for Saskatchewan is 11.3 degrees for 1.1 million. Angle for Alberta is 42.1 degrees If 11.3-degree angle is equal to 1,100,000 Then 1-degree angle is equal to 1,100,000/11.3 = 97,345.13 So for Alberta, population would be 97,345 x 42.1 = 4,098,230 or 4.01 million b. Current population of Quebec is 82.5 degrees as per the application. This means if the proportion of the angle remains the same, even if the total population is 50 million the angle would remain the same. Then that means if 360-degrees is equal to 50 million then 1-degree is equal to 50,000,000/360 = 138,888.88 Which means that Quebec’s population would be 138,888.88 x 82.5 = 11,458,333 2. Task 2 Chart Rainfall (mm) Runoff (mm) 20 5 50 12 80 21 100 35 125 41 150 58 200 74 a. Create Scatter plot, used excel 2016 scatter plot option.

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0 50 100 150 200 250 0 10 20 30 40 50 60 70 80 Runoff (mm) b. Finding linear regression equation and correlation coefficient. Used excel and the option to add linear line on add tread line with show equation on graph. 0 50 100 150 200 250 0 10 20 30 40 50 60 70 80 f(x) = 0.4x - 6.71 Runoff (mm) X axis – rainfall, y axis – runoff water Correlation coefficient = 0 < r <1 as increase in one variable corresponds to increase in 2 nd variable but since not all the lines fall on the linear regression line that means correlation is not r=1.
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