Question

1. 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 25 yarn specimens, the relationship between temperature (x) and shrinkage (%) (y) was summarized by the least- squares line y = - 12.789 + 0.133x. The total sum of squares was ∑( yi – y(avg))^2 = 57.313, and the estimated error variance was s^2 = 0.0670. The coefficient of determination R-squared is nearly _____________.

Answer 1

Here coefficient of determination is 0.9731

For details I have attached the solution.