An experiment was performed on a certain metal to determine ifthe strength is a function of heating time (hours). Results basedon 25 metal sheets are given below. Use the simple linearregression model.
∑X = 50
∑X2 = 200
∑Y = 75
∑Y2 = 1600
∑XY = 400
Find the estimated y intercept and slope. Write the equation of theleast squares regression line and explain the coefficients.Estimate Y when X is equal to 4 hours. Also determine the standarderror, the Mean Square Error, the coefficient of determination andthe coefficient of correlation. Check the relation betweencorrelation coefficient and Coefficient of Determination. Test thesignificance of the slope.
