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22. [35 marks] The Hamilton City Council (HCC) is very concerned about the amount of water that is required by Hamilton residents in the hot
22. [35 marks] The Hamilton City Council (HCC) is very concerned about the amount of water that is required by Hamilton residents in the hot summer months. Data has been collected on water use W, in millions of litres and on daily temperatures 7, in centigrade, for 15 days in January 2019. The following Excel Output (with two deliberate omissions) show the results from a simple regression that can be used to predict the amount of water required by Hamilton residents depending on expected temperature for that day. SUMMARY OUTPUT Regression Statistics Multiple R 0.91 R Square A Adjusted R Square 0.81 Standard Error 6.68 Observations 15 ANOVA Significance df SS MS F F Regression 2667.2 2667.2 59.7 3.2591E-06 Residual 13 580.6 44.7 Total 14 3247.7 Standard Upper Lower Uppe Coefficients Error t Stat P-value Lower 95% 95% 99.0% 99.0 Intercept 15.6 6.7 2.3 0.036 1.203 30.077 -4.49 35.7 Temp 2.1 0.3 B 3.26E-06 1.541 2.736 1.305 2.97 a) State the equation showing that water use is a function of the daily temperature. Give a brief interpretation of the equation and use it to predict how much water will be required if Hamilton if the temperature is 40 C. (6 marks)
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