A transportation engineering study was conducted to determine the proper design of bike lanes. Data were gathered on bike-lane widths and average distance between bikes and passing cars. The data from 9 streets are
Distance ,m | 2.4 | 1.5 | 2.4 | 1.8 | 1.8 | 2.9 | 1.2 | 1.2 | 3. | 1.2 |
Lane Width,m | 2.9 | 2.1 | 2.3 | 2.1 | 1.8 | 2.7 | 1.5 | 1.5 | 2.9 | 1.5 |
(a) Plot the data.
(b) Fit a straight line to the data with linear regression. Add this line to the plot.
(c) If the minimum safe average distance between bikes and passing cars is considered to be 1.8 m, determine the corresponding minimum lane width.
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