In the accompanying table, \(x\) is the tensile force applied to a steel specimen in thousands of pounds, and \(y\) is the resulting elongation in thousandths of an inch:

(a) Graph the data to verify that it is reasonable to assume that the regression of \(Y\) on \(x\) is linear.

(b) Find the equation of the least squares line, and use it to predict the elongation when the tensile force is 3.5 thousand pounds.

Transcribed Image Text:

x 1 2 3 4 5 6 y 14 33 40 63 76 85