The article referred to in Exercise 23 presents values for
Chapter 8, Problem 24SE(choose chapter or problem)
The article referred to in Exercise 23 presents values for the dependent and independent variables for 10 additional construction jobs. These values are presented in Tables SE24A and SE24B (page 661).
a. Using the equation constructed in part (a) of Exercise 23, predict the concrete quantity \((y)\) for each of these 10 jobs.
b. Denoting the predicted values by \(\widehat{y}_1\), . . . , \(\widehat{y}_{10}\) and the observed values by \(y_1\), . . . , \(y_10\) compute the quantities \(y_i-\widehat{y}_{i}\). These are the prediction errors.
c. Now compute the fitted values \(\widehat{y}_{1}\), . . . , \(\widehat{y}_{28}\) from the data in Exercise 23, using the observed values \(y_1\), . . . ,\(y_28\) from those data, compute the residuals \(y_i-\widehat{y}_{i}\).
d. On the whole, which are larger, the residuals or the prediction errors? Why will this be true in general?
Equation Transcription:
Text Transcription:
(y)
hat{y}_1
hat{y}_10
y_1
y_10
y_i-hat{y}_i
hat{y}_1
hat{y}_28
y_1
y_28
y_i-hat{y}_i
x_1
x_2
x_3
x_4
x_5
x_6
x_7
x_8
x_9
x_10
x_11
x_12
x_13
x_14
x_15
x_16
x_17
x_18
x_19
x_20
x_21
x_22
x_23
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