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Using the built-in dataset cars that is included with R, and by using the parameter estimates obtained on this dataset, compute 10000 predictions of new observations at values of speed: [5, 10, 15, 20, 25]. Then for each set comprising 10000 values, compute the approximate 95% prediction intervals. Produce a scatterplot of the data(distance vs speed) and add a line connecting the five lower bounds obtained, and another line connecting the five upper bounds obtained. Draw conclusion and answer if there is some observation that can be considered noteworthy.

Using the built-in dataset cars that is included with R, and by using the parameter estimates obtained on this dataset, compute 10000 predictions of new observations at values of speed: [5, 10, 15, 20, 25]. Then for each set comprising 10000 values, compute the approximate 95% prediction intervals. Produce a scatterplot of the data(distance vs speed) and add a line connecting the five lower bounds obtained, and another line connecting the five upper bounds obtained. Draw conclusion and answer if there is some observation that can be considered noteworthy.

MATLAB: An Introduction with Applications
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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Using the built-in dataset cars that is included with R, and by using the parameter estimates obtained on this dataset, compute 10000 predictions of new observations at values of speed: [5, 10, 15, 20, 25]. Then for each set comprising 10000 values, compute the approximate 95% prediction intervals.

Produce a scatterplot of the data(distance vs speed) and add a line connecting the five lower bounds obtained, and another line connecting the five upper bounds obtained. Draw conclusion and answer if there is some observation that can be considered noteworthy.

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