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Q3- [5 points] Given 5-cars' data collected for engine size (xi) and miles per gallon (yi) as shown in the following table: Calculate the following

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Q3- [5 points] Given 5-cars' data collected for engine size (xi) and miles per gallon (yi) as shown in the following table: Calculate the following using calculator and put values (with 2 digits after decimal point): x=ni=1nxi y=nt=1nyt sx=n1i=1n(xix)2 sy=n1i=1n(yiy)2 rxy=sxsysxy x=(2.0+2.2+2.4+2.5+3.3)/5=2.48 y=(26+30+23+25+21)/5=25 Sx=square.root(((2.02.48)2+(2.22.48)2+(2.42.48)2+(2.5 2.48)2+(3.32.48)2)/(51))=0.50 Sy = square. root(((2625)2+(3025)2+(2325)2+(2525)2+(21 25)2)/(51))=3.39 Sxy=((2.02.48))(2625)+(2.22.48)(3025)+(2.42.48)(2325)+ (2.52.48)(2525)+(3.32.48)(2125))/(51)=1.25 rxy=1.25/((0.50)(3.39))=0.74

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