The table shows the sight distance y in feet for a car traveling at x miles per hour. x (in mph) y (in feet) 20 30 40 50 60 65 70 1090 820 1485 1840 2140 2320 2490
The table shows the sight distance y in feet for a car traveling at x miles per hour. x (in mph) y (in feet) 20 30 40 50 60 65 70 1090 820 1485 1840 2140 2320 2490
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
(a) Make a scatter diagram of the data.
(b) Use the regression feature of a calculator to find the best-fitting linear function for the data. Graph the function with the data.
(c) Repeat part (b) for a cubic function.
(d) Estimate the minimum sight distance for a car traveling 68 mph using the functions from parts (b) and (c).
(e) By comparing the graphs of the functions in parts (b) and (c) with the data, decide which function best fits the given data.
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