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A legal researcher wanted to measure the effect of the length of a criminal tria

ID: 3155653 • Letter: A

Question

A legal researcher wanted to measure the effect of the length of a criminal trial on the length of jury deliberation. He observed in a sample of 10 randomly selected courtroom trials the following data on length of trial (in days) and length of jury deliberation (in hours). Using the table below, complete the followiwng steps:

Step 1: Calculate the regression and Y-intercept by calculating N, the sum of X, the sum of Y, the sum of X-squared, the sum of Y-squared, and the sum of XY.

Step 2: Calculate the mean of X and the mean of Y.

Step 3: Calculate SSx, SSy, and SP

Step 4: Determine the regression line

Step 5: Predict the length of jury deliberation for a recently completed trial that lasts six days.

Step 6: Find the coefficient of determination and nondetermination. What do they mean?

Step 7: Construct and analysis of variance table.



X (Days) Y(Hours) 2 4 7 12 4 6 1 4 1 1 3 4 2 7 5 2 2 4 3 6

Explanation / Answer

1)

2) Mean(x) =3

Mean(y)=5

3) Sx=1.89

Sy=3.05

4)

from Excel

The regression equation

y=1.91 + 1.031(days)

6)

COefficient of determination is0.405

7) ANOVA TABLE

X (Days) Y(Hours) xy x^2 y^2 2 4 8 4 16 7 12 84 49 144 4 6 24 16 36 1 4 4 1 16 1 1 1 1 1 3 4 12 9 16 2 7 14 4 49 5 2 10 25 4 2 4 8 4 16 3 6 18 9 36 sums= 30 50 183 122 334 mean= 3 5
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