The masses and volumes of eight bodies of the same material are measured. To do this, a balance that appreciates up to the tenth of a gram (o.1 g) and a graduated cylinder that appreciates up to two tenths of a cubic centimeter (0.2 cm^3) were used. The results are (see image) Calculate the density of the material using the method of least squares, and the value of the correlation coefficient. (Remember: plot of volume (abscissa) versus mass (ordinate), remembering that m=ρV.)

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The masses and volumes of eight bodies of the same material are measured. To do this, a balance that appreciates up to the tenth of a gram (o.1 g) and a graduated cylinder that appreciates up to two tenths of a cubic centimeter (0.2 cm^3) were used. The results are (see image)

Calculate the density of the material using the method of least squares, and the value of the correlation coefficient.

(Remember: plot of volume (abscissa) versus mass (ordinate), remembering that m=ρV.)

 

 

m (g)
5.9
V(cm³) 2.2
10.4
3.8
14.0
5.2
22.6
8.4
27.4
10.2
34.2
12.6
39.7
14.8
44.0
16.4
Transcribed Image Text:m (g) 5.9 V(cm³) 2.2 10.4 3.8 14.0 5.2 22.6 8.4 27.4 10.2 34.2 12.6 39.7 14.8 44.0 16.4
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