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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)

Answer & Explanation
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