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If the slope of SD line is -3 and correlation coefficient between slope of the r

ID: 3209374 • Letter: I

Question

If the slope of SD line is -3 and correlation coefficient between slope of the regression line is The regression line always passes through the point of In a study on traffic violations, the number of traffic violations and the number of accidents at a certain Intersection were recorded each week. Suppose the traffic violations and accidents were normally distributed and the resulting scatter diagram a football-shaped. Given the following statistics: What is the r.ms error for predicting the number of accidents from traffic violations? Of the week that had 26 traffic violations, how many accidents would happen on average? Of the week that had 26 traffic violations, about what percentage of those weeks had more than 10 accidents?

Explanation / Answer

1.

a.

Slope = -3
Corelation coefficient = -.5

a = r(sy/sx).
a = -.5*-3/1
a = 1.5

b.
The least squares regression line always passes through the point (¯x, ¯y)

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