1. The following data is given: 2 5 8 9 13 15 y 7 8 10 11 12 14 15 Use linear least-squares regression to determine the coefficients m and b in the function y Make a plot that shows the function and the data points. mx +b that best fits the data. %3D

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 5P
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Experiment (10):
Graphic Plots (Linear Regression and Curve fitting)
1.
The following data is given:
2
5
8
13
15
y
7
8
10
11
12
14
15
Use linear least-squares regression to determine the coefficients m and b in the
function y = mx +b that best fits the data.
Make a plot that shows the function and the data points.
%3D
2. Find the straight line, quadratic and cubic equations that fit to the following data
1.2
1.5
1.8
2.6
3.1
4.3
4.9
5.3
y
4.5
5.1
5.8
6.7
7.0
7.3
7.6
7.4
5.7
6.4
7.1
7.6
8.6
9.2
9.8
y
7.2
6.9
6.6
5.1
4.5
3.4
2.7
3.
Find the least-squares parabola for the data shown in Table below.
2
3
4
5
y
3
4
3
4
4.
The boiling temperature of water T, at various altitudes h is given in the fol-
lowing table. Determine a linear equation in the form T = mh +b that best
fits the data. Use the equation for calculating the boiling temperature at
5,000 m. Make a plot of the points and the equation.
h (m)
600
1500
2300
3000
6100
7900
T( C)
100
98.8
95.1
92.2
90
81.2
75.6
23
Transcribed Image Text:Experiment (10): Graphic Plots (Linear Regression and Curve fitting) 1. The following data is given: 2 5 8 13 15 y 7 8 10 11 12 14 15 Use linear least-squares regression to determine the coefficients m and b in the function y = mx +b that best fits the data. Make a plot that shows the function and the data points. %3D 2. Find the straight line, quadratic and cubic equations that fit to the following data 1.2 1.5 1.8 2.6 3.1 4.3 4.9 5.3 y 4.5 5.1 5.8 6.7 7.0 7.3 7.6 7.4 5.7 6.4 7.1 7.6 8.6 9.2 9.8 y 7.2 6.9 6.6 5.1 4.5 3.4 2.7 3. Find the least-squares parabola for the data shown in Table below. 2 3 4 5 y 3 4 3 4 4. The boiling temperature of water T, at various altitudes h is given in the fol- lowing table. Determine a linear equation in the form T = mh +b that best fits the data. Use the equation for calculating the boiling temperature at 5,000 m. Make a plot of the points and the equation. h (m) 600 1500 2300 3000 6100 7900 T( C) 100 98.8 95.1 92.2 90 81.2 75.6 23
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