In: Statistics and Probability
#1) Consider the following table summarizing the speed limit of a certain road and the number of accidents occurring on that road in January
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a) Find the slope of the regression line predicting the number of accidents from the posted speed limit. Round to 3 decimal places.
b) Find the intercept of the regression line predicting the number of accidents from the posted speed limit. Round to 3 decimal places.
c) Predict the number of reported accidents for a posted speed
limit of 43mph. Round to the nearest whole number.
#2) Consider the following:
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a) What is slope of the regression line predicting Y from X, rounded to 2 decimal places?
b) What is the intercept of the regression line predicting Y from X, rounded to 2 decimal places?
c) What is the correlation between X and Y, rounded to 2 decimal places?
1)
a)
slope =0.376
b)
intercept =7.794
c)
predicted value =7.794+0.376*43=23.962 ~24
2)
a) slope =-1.40
b) intercept =276.85
c)correlation coefficient =-0.92