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3. 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) Lane width (m) (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 1.8m, determine the corresponding minimum lane width. 2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 1.2 2.9 2.1 2.3 2.1 1.8 2.7 1.5 2.9 1.5

3. 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) Lane width (m) (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 1.8m, determine the corresponding minimum lane width. 2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 1.2 2.9 2.1 2.3 2.1 1.8 2.7 1.5 2.9 1.5

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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3. 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) Lane width (m) (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 1.8m, determine the corresponding minimum lane width. 2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 1.2 2.9 2.1 2.3 2.1 1.8 2.7 1.5 2.9 1.5
Transcribed Image Text:3. 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) Lane width (m) (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 1.8m, determine the corresponding minimum lane width. 2.4 1.5 2.4 1.8 1.8 2.9 1.2 3 1.2 2.9 2.1 2.3 2.1 1.8 2.7 1.5 2.9 1.5
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