QUESTION IMAGE
Question
- data is collected measuring the effect of length on a criminal trial (x) in days on the length of jury deliberation (y) in hours. the scatter plot was used to calculate a regression equation as y = 1.91+1.03x with a correlation coefficient of 0.52. predict the length of jury deliberation for a criminal trial that lasted 12 days, then determine how confident you are in the prediction. (choose 2)
a. 15.01 hours
b. 14.27 hours
c. extremely confident
d. moderately confident
e. not at all confident
Step1: Substitute value into equation
Given regression equation $y = 1.91+1.03x$, substitute $x = 12$.
$y=1.91 + 1.03\times12$
Step2: Calculate the value of y
$y=1.91+12.36=14.27$
The correlation coefficient $r = 0.52$. A correlation coefficient value between $0.3$ and $0.7$ indicates a moderate linear - relationship. So we are moderately confident in the prediction.
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B. 14.27 hours
D. moderately confident