Find the solution to the differential equation dy/dx = cos(x) / y2 , where y(π/2) = 0.

Researchers pose the question: can shoe size be predicted from a woman's height? a random sample of 18 females and their shoe size versus height (in inches) gives the regression results shown in the table. predictor coeff se coeff t ratio p-value constant -45.74 32.58 -2.57 0.147 height 0.5943 0.2984 1.99 0.042 s = 3.2178 r-sq. = 18.9% r-sq. (adj) = 12.4% is there statistical evidence of a linear relationship between shoe size and height? no, because r2, the coefficient of determination, is too small no, because 0.147 is above any reasonable significance level yes, there is evidence at the 5% significance level yes, because, by any reasonable observation, taller women tend to have a larger shoe size