Q2. An economist is interested in the relationship between the disposable income of a family and the amount of money spent annually on food. For a preliminary study, the economist takes a random sample of eight middle-income families of the same size father, mother, and two children). The results are as follows, where x denotes disposable income in thousands of taka and y denotes food expenditure in hundreds of taka. X 30 36 27 20 16 24 19 25 y 45 60 42 40 17 26 39 53 1. Draw a scatter diagram between x and y. 2. Determine and interpret the value of r. 3. Determine the regression equation for 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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answer 1,2,3

Q2. An economist is interested in the relationship between the disposable income of a family and the amount of money spent
annually on food. For a preliminary study, the economist takes a random sample of eight middle-income families of the same size
father, mother, and two children). The results are as follows, where x denotes disposable income in thousands of taka and y
denotes food expenditure in hundreds of taka.
X
30 36 27 20 16 24 19 25
y
45 60 42 40 17 26 39 53
1. Draw a scatter diagram between x and y.
2. Determine and interpret the value of r.
3. Determine the regression equation for the data.
4. Graph the regression equation and the data points.
5. Use the regression equation to predict the annual food expenditure of a family with a disposable income of Tk25000.
Transcribed Image Text:Q2. An economist is interested in the relationship between the disposable income of a family and the amount of money spent annually on food. For a preliminary study, the economist takes a random sample of eight middle-income families of the same size father, mother, and two children). The results are as follows, where x denotes disposable income in thousands of taka and y denotes food expenditure in hundreds of taka. X 30 36 27 20 16 24 19 25 y 45 60 42 40 17 26 39 53 1. Draw a scatter diagram between x and y. 2. Determine and interpret the value of r. 3. Determine the regression equation for the data. 4. Graph the regression equation and the data points. 5. Use the regression equation to predict the annual food expenditure of a family with a disposable income of Tk25000.
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