Graphic Plots (Linear Regression and Curve fitting)1.The following data is given:256.8.91315y781011121415Use linear least-squares regression to determine the coefficients m and b in thefunction y = mx +b that best fits the data.Make a plot that shows the function and the data points.2. Find the straight line, quadratic and cubic equations that fit to the following dataX1.21.51.82.63.14.34.95.3y4.55.15.86.77.07.37.67.4X5.76.47.17.68.69.29.8y7.26.96.65.14.53.42.73.Find the least-squares parabola for the data shown in Table below.X.346y343424.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 bestfits the data. Use the equation for calculating the boiling temperature at5,000 m. Make a plot of the points and the equation.h (m)60015002300300061007900T(°C)10098.895.192.29081.275.6

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Graphic Plots (Linear Regression and Curve fitting) 1. The following data is given: 2 5 6. 8. 9 13 15 y 7 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.

Graphic Plots (Linear Regression and Curve fitting) 1. The following data is given: 2 5 6. 8. 9 13 15 y 7 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.

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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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Graphic Plots (Linear Regression and Curve fitting)
1.
The following data is given:
2
5
6.
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 = mx +b that best fits the data.
Make a plot that shows the function and the data points.
2. Find the straight line, quadratic and cubic equations that fit to the following data
X
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
X
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.
X.
3
4
6
y
3
4
3
4
2
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

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