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ID: 2836846 • Letter: R

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Rate 5 stars quick, but please provide detailed working so i can understand

Question 2 For each of ten streets with bike lanes, researchers measured the distances between the centre line and a cyclist in the bike lane. For the same ten streets, they measured the distance between the cyclist and a passing car. The data are shown below (all distances are in feet): Distance from centre 12.8 12.9 12.9 13.6 14.5 14.6 15.1 17.5 19.5 20.8 Distance from car 5.5 6.2 6.3 7.0 CO If. CO 10.0 10.3 11.0 a) Using Excel, create a scatter plot for the above data. Add the line of best fit and the r-squared value. Attach Excel output. b) Use residual plots to compare the linear model in part a) to an exponential model and a power model. Attach Excel output. Which is the better model? c) Estimate the distance of a cyclist from a passing car when the distance from the centre line is 10 feet. How much confidence do you place in this prediction? Why? d) Express the equation of the line-of-best-fit from part a) in the form in which the number of standard deviations of the variables are related via the correlation coefficient.

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