n the accompanying table, x is the tensile force applied to a steel specimen in thousands of pounds, and y is the resulting elongation in thousands of an inch: X 1 2 3 4 5 Y 14 33 40 63 76 85 a) Find the equation of the least squares line, and use it to predict the elongation when the tensile force is 3.5 thousand pounds. b) Construct a 95% confidence interval for B, the elongation per thousand pounds of tensile stress; c) Find 95% limits of prediction for the elongation of a specimen with x 3.5 thousand pounds.

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Problem #3
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 thousands of an inch:
X
1
3
4
6.
Y
14
33
40
63
76
85
a) Find the equation of the least squares line, and use it to predict the elongation when the
tensile force is 3.5 thousand pounds.
b) Construct a 95% confidence interval for ß, the elongation per thousand pounds of tensile
stress;
c) Find 95% limits of prediction for the elongation of a specimen with x = 3.5 thousand
pounds.
Transcribed Image Text:Problem #3 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 thousands of an inch: X 1 3 4 6. Y 14 33 40 63 76 85 a) Find the equation of the least squares line, and use it to predict the elongation when the tensile force is 3.5 thousand pounds. b) Construct a 95% confidence interval for ß, the elongation per thousand pounds of tensile stress; c) Find 95% limits of prediction for the elongation of a specimen with x = 3.5 thousand pounds.
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