PHY 215 Lab 1.docx - Lab#1 Graphical Analysis 1 Linear Regression Temperature of Thermometer as a function of height of mercury a Linear regression

PHY 215 Lab 1.docx - Lab#1 Graphical Analysis 1 Linear...

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Lab #1: Graphical Analysis 1.Linear Regression: Temperature of Thermometer as a function of height of mercurya)
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Linear regression equation: y=6.4728x-1286.1 Slope: 6.4728 (*F/mm) Y-Intercept: -1286.1 (*F) b) y=mx + b m=([xy] - [x][y])/ D D= ([x 2 ]- [x] 2 ) [xy]=1/N(x 1 y 1 +x 2 y 2 +x 3 y 3 …+x N y N ) [xy]= ((204.8*40)+(205.7*45)+(206.5*50)+(207.2*55)+(207.9*60)) [xy]= [x]= 1/N(x 1 +x 2 +...x N ) [x]= (204.8+205.7+206.5+207.2+207.9) [x]= [y]=1/N(y 1 +y 2 +...y N ) [y]= (40+45+50+55+60) [y]= [x2]= c) *Used excel to calculate Slope Y Intercept 6.4728 -1286.1 Interpolation (207.0 mm) 53.7696 Extrapolation (220.5 mm) 141.1524 2. Linear regression: Free-fall Equation a)
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