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Please show work prior to comparing answers. Thank you The data used in creating

ID: 3051551 • Letter: P

Question

Please show work prior to comparing answers. Thank you

The data used in creating the attached JMP output (see separate sheet) are collected in order to study the effects of two independent variables -specific gravity and moisture content on the response variable y strength of wood beams. Answer the following questions from the output (a) What were the two least square equations fit to the data? Equation 1: y- Equation 2: (b) What fraction of the raw variability in the strength of wood beams is accounted for by the two equations? For equation 1 For equation 2:

Explanation / Answer

Slope can be calculated as b1= nE(xy)-ExEy/nE(x2)-(Ex2) and intercept as b0=Ey-b1Ex/n, r^2=SSR/SST

a)

Equation 1: y=18.043203-0.624211*x2

Equation 2: y=10.27964+8.6435399x1-0.272352x2

b)

Equation 1: 57.64% of the variation in strength of wood beams is accounted for by the independent variable

Equation 2: 90.31% of the variation in strength of wood beams is accounted for by the independent variables