## Solution for problem R12.1 Chapter 12

# A least-squares regression analysis was performed on the

The Practice of Statistics | 4th Edition

A least-squares regression analysis was performed on the data. Some computer output and a residual plot are shown below. A Normal probability plot of the residuals (not shown) is roughly linear. Predictor Coef SE Coef T P Constant 70.44 52.90 1.33 0.213 Thickness 274.78 88.18 *** *** S ? 56.3641 R-Sq ? 49.3% R-Sq(adj) ? 44.2% s Interpret computer output from a least-squares regression analysis. R12.1. Casting aluminum (a) Describe what the scatterplot tells you about the relationship between cylinder wall thickness and gate velocity. (b) What is the equation of the least-squares regression line? Define any variables you use. (c) One of the cylinders in the sample had a wall thickness of 0.4 inches. The gate velocity chosen for this cylinder was 104.8 feet per second. Does the regression line in part (b) overpredict or underpredict the gate velocity for this cylinder? By how much? Show your work. (d) Is a linear model appropriate in this setting? Justify your answer with appropriate evidence. (e) Interpret each of the following in context: (i) The slope (ii) s (iii) r2 (iv) The standard error of the slope s Perform a significance test about the slope B of a population (true) regression line.

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friday , january 24 lecture # 2 velocity and acceleration example a particle with rectilinear Velocity C u ) is the change in motion begins at rest , and has - - position per unit time acceleration a - act ) : 2e 6 m/s : IS = SCta)-s

###### Chapter 12, Problem R12.1 is Solved

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A least-squares regression analysis was performed on the