In the manufacture of synthetic fiber, the fiber is often \"set\" by subjecting

Question

In the manufacture of synthetic fiber, the fiber is often "set" by subjecting it to high temperatures. The object is to improve the shrinkage properties of the fiber. In a test of 24 yarn specimens, the relationship between temperature in degree C (x) and shrinkage in %(y) was summarized by the least-squares line y = -11.095 + 0.126x. The total sum of squares was (yi - )2 = 57.605, and the estimated error variance was s2 = 0.0645. Compute the coefficient of determination r2. Round to four decimal places, if necessary. r2 =

Explanation / Answer

variance of y=57.605/24=2.4002 varience of x*(.126)^2=variance of y=2.4 so variance of x=151.1847 so r=.126*(2.4002 ^.5)/(151.1847)^.5=.0158 so r^22.5204*10^(-4)

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