You have obtained the following Johnson Imaging data related to MRI...
You have obtained the following Johnson Imaging data related to MRI
production:
Table 3.9—Johnson Imaging Data
Model Display
(pixels)
Unit Cost
A 5,200 50,000
B 6,300 70,000
C 9,000 160,000
D 7,500 140,000
E 13,000 225,000
Assuming that pixel display is the independent variable and cost the dependent
variable, the following information is provided to assist you in analyzing the
Johnson data:
Table 3.10—Tabular Presentation of Johnson Imaging Data
X Y XY X2 Y2
5.2 50 260 27.04 2,500
6.3 70 441 39.69 4,900
9.0 160 1,440 81.00 25,600
7.5 140 1,050 56.25 19,600
13.0 225 2,925 169.00 50,625
Totals 41.0 645 6,116 372.98 103,225
Note: Cost and thrust values are expressed in decimals for ease of calculations.
Table 3.11—ANOVA Table
Source Sum of Squares df Mean Square
Regression (R) 18,595 (SSR) 1 18,595 (MSR)
Error (E) 1,425 (SSE) 3 475 (MSE)
Total (T) 20,020 (SST) 4
1. What is your estimate of the cost of an MRI unit that displays a 12,500-pixel
image? You must determine the proper regression formula.
$225,686
2. What is the r2 for your equation?
.9288
4. What is the 95 percent prediction interval for your estimate
(This is what I don't understand)
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