
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question

Transcribed Image Text:the
Sum
Consider the points (1,3) and (4,4). Find the
equation of the line y = mx through the origin that
" best fits" these two points. By best fits, it means
of the vertical distances between there.
and the line is minized. In the picture bebuy
the slope
the sum of the lengths of the dotted lines are
minized. (Hint: It is actually easier
points
you are
such that
trying to find
and
equivalent
minize
the
of the
do
of the vertical distances.)
square
3
y
1
M
sums
y=mx
Jespost
Note: This problem is
what is called
a
simplified version of
the line of best fit for a set
data points. The actual lines of pest fit of
a set of points does not have to go through the
origin (like in our example). This requirement
implemented to make the problem simplex
for otherwise we st would have to find the
slope and the ynkeperpt.
we
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 4 steps

Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
In step 3, why dont we find derivative of (3m-1) / sqrt (1+m^2) instead?
Solution
by Bartleby Expert
Follow-up Question
How do we get (1-3m)/ sqrt (1+m^2)
Solution
by Bartleby Expert
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
In step 3, why dont we find derivative of (3m-1) / sqrt (1+m^2) instead?
Solution
by Bartleby Expert
Follow-up Question
How do we get (1-3m)/ sqrt (1+m^2)
Solution
by Bartleby Expert
Knowledge Booster
Similar questions
- Write an equation for the line through the point (2, - 3) that... A. is vertical B. is horizontal 1 C. Has slope 2 D. also passes through the point ( – 5, - 4): E. is perpendicular to the line -4x +y = 2: %3D > Next Questionarrow_forwardPlease help ASAP! Thank you!arrow_forwardFind the slope m of the line that passes through the two given points. (3, 2) and (6, 11) STEP 1: Label the coordinates of each ordered pair. and (6,11) ( 3,2 ) X1 У1 X2 Y2 STEP 2: Substitute the values into the slope definition and simplify. Y2 - Y1 m = X2 - X1 2 6. = 3arrow_forward
Recommended textbooks for you
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning

Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning

Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON

Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON

Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman


Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning