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To attach a category to your images, follow these steps: 1. Place your camera in Playback mode. 2. Press the Menu button and use the 4-Way Controller to navigate to My Category. 3. Press the Function/Set button. 4. Use the right and left areas of the 4-Way Controller to scroll through your images and nd one you want to categorize. 5. Use the up and down areas of the 4-Way Controller to scroll through the categories displayed on the left side of the LCD. 6. Press the Function/Set button to place a check mark next to the image s category designation. 7. Repeat Steps 4 to 6 to categorize more images. Remember that you can assign more than one category to an image. Try using Categories 1, 2, and 3 to mark images for printing, deletion, or slide shows.

Then we attempt to extend A and B by one iteration. To do so, we use the known keystream byte k l , and solve for

Table 11-3 Analysis of Variance for Testing Signi cance of Regression Source of Variation Regression Error Total

EXAMPLE 11-3

We will use the analysis of variance approach to test for signi cance of regression using the oxygen purity data model from Example 11-1. Recall that SST 173.38, 1 14.947, Sxy 10.17744, and n 20. The regression sum of squares is SSR and the error sum of squares is SSE SST SSR 173.38 152.13 21.25

L [ H ( A ) ] L [ H ( B ) ](mod 256). )

114.947210.17744

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The analysis of variance for testing H0: 1 0 is summarized in the Minitab output in Table 11-2. The test statistic is f0 MSR MSE 152.13 1.18 128.86, for which we nd that the P-value is P 1.23 10 9, so we conclude that 1 is not zero. There are frequently minor differences in terminology among computer packages. For example, sometimes the regression sum of squares is called the model sum of squares, and the error sum of squares is called the residual sum of squares. Note that the analysis of variance procedure for testing for signi cance of regression is equivalent to the t-test in Section 11-5.1. That is, either procedure will lead to the same conclusions. This is easy to demonstrate by starting with the t-test statistic in Equation 11-19 with 1,0 0, say T0 2

(3.5)

1 2

(11-27)

2S

If the value Y can be obtained as a shift of X , then A , B , and X are consistent with the first two keystream bytes, and these partial fills are retained for the next iteration, where we attempt to further extend A and B so that they are consistent with k2. If the value of Y in (3.5) cannot be obtained by an extension of X then the partial fills A and B are discarded. How many ways are there t o extend a given pair A and B to the next i t e r a t i ~ n Register A always shifts one position to the right so that a single ~ new bit appears at the leftmost position in H ( A ) . Register B can shift once, in which case one new bit appears in H ( B ) , or it can shift twice, in which case two new bits appear in H ( B ) . This gives a total of 12 possible ways to extend the current fills of registers A and B. These 12 possible extensions are listed in Table 3.5. We denote the j t h extension of A as e ( A , j )and similarly for B .

(11-28)

Before getting into detail about the buttons and dials, you need to understand the function and navigation of the 4-Way Controller, usually referred to by one or more of its parts. You will use this control more than any other with the exception of the Shutter Release button. It functions very similar to the arrow keys on your computer keyboard and is used to move up, down, left, and right as you scroll through selections on the LCD monitor. Those same up, down, left, and right area movements also give you access to several core groups of functions. Some of these options may be inaccessible depending on your Shooting or Scene mode.

2 Note that T 0 in Equation 11-28 is identical to F0 in Equation 11-26 It is true, in general, that the square of a t random variable with v degrees of freedom is an F random variable, with one and v degrees of freedom in the numerator and denominator, respectively. Thus, the test using T0 is equivalent to the test based on F0. Note, however, that the t-test is somewhat more exible in that it would allow testing against a one-sided alternative hypothesis, while the F-test is restricted to a two-sided alternative.

Now we consider an example that illustrates the steps in the attack. Suppose the key-that is, the initial fills of the registers X , A, and B--is given by the register fills

EXERCISES FOR SECTION 11-5

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