Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. i 1 2 3 4 5 Sum x ly 10 20 30 40 50 mΣx + Nc = Συ inl mEx+cEx-Σαν 33 51 67 89 102 2 XY

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 1EA
icon
Related questions
Question

please answer this questions and include working out and explinations. many thanks for your time 

Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the
following system of equations for m and c, determining the least squares fit of the
data, y=mx+c.
i
1
2
3
4
5
Sum
x y
10
20
30
40
50
mΣx₁ + Nc = Σy₁
m{x} +c{x,₁ = £x,y,
33
51
67
89
102
x²
Figure 2
xy
Transcribed Image Text:Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system of equations for m and c, determining the least squares fit of the data, y=mx+c. i 1 2 3 4 5 Sum x y 10 20 30 40 50 mΣx₁ + Nc = Σy₁ m{x} +c{x,₁ = £x,y, 33 51 67 89 102 x² Figure 2 xy
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 18 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage