1 A transportation engineering study was conducted to determine the proper design of bike lanes. Data was gathered on bike-lane widths and average distance between bikes and passing cars. The data from 11 streets is Distance, m 2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 12 Lane Width, m 2.9 2.1 2.3 2.1 1.8 2.7 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 2 m, determine the cor- responding minimum lane width.

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1
A transportation engineering study was conducted to
determine the proper design of bike lanes. Data was gathered
on bike-lane widths and average distance between bikes and
passing cars. The data from 11 streets is
Distance, m 2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 12
Lane Width, m 2.9 2.1 2.3 2.1 1.8 2.7 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 2 m, determine the cor-
responding minimum lane width.
2
wez
X
y
Fit a cubic polynomial to the following data:
kistust wody posar en HD WALDHE
4
5
3.6
4.4
3
1.6
7
3.4
8
2.2
2.8 3.8
12
4.6
Transcribed Image Text:1 A transportation engineering study was conducted to determine the proper design of bike lanes. Data was gathered on bike-lane widths and average distance between bikes and passing cars. The data from 11 streets is Distance, m 2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 12 Lane Width, m 2.9 2.1 2.3 2.1 1.8 2.7 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 2 m, determine the cor- responding minimum lane width. 2 wez X y Fit a cubic polynomial to the following data: kistust wody posar en HD WALDHE 4 5 3.6 4.4 3 1.6 7 3.4 8 2.2 2.8 3.8 12 4.6
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