In: Statistics and Probability
An experiment was performed on a certain metal to determine if
the strength is a function of heating time (hours). Results based
on 25 metal sheets are given below. Use the simple linear
regression model.
∑X = 50
∑X2 = 200
∑Y = 75
∑Y2 = 1600
∑XY = 400
Find the estimated y intercept and slope. Write the equation of the
least squares regression line and explain the coefficients.
Estimate Y when X is equal to 4 hours. Also determine the standard
error, the Mean Square Error, the coefficient of determination and
the coefficient of correlation. Check the relation between
correlation coefficient and Coefficient of Determination. Test the
significance of the slope.
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