COURSE: INDUSTRIAL ENGINEERING LESSON LINEAR REGRESSION

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LINEAR REGRESSION This is the mathematical method of obtaining the line of best fit between the dependent variable usually demand and independent variable.The relationship between the dependent variable Y and independent variable X can be represented by a straight line Where b is slope of line and a is the Y intercept. Then the value of a and b are calculated as follows: y- a+bx of bot sides Now, nuliplying both sicles

LINEAR REGRESSION taking of both sides Special Cose Least spuave Metol When Pndependent van alle x trneer ond ts the yea os sales etc anol O c

QUESTION A company manufacturing TV sets established relationship that its sales is related to population of city.The market research reveals following information. Fit a linear regression equation and establish the demand for TV sets for a city with a population of (50 million). X - Population Y - No. of TV sets (in 1000) (Million) 28 40 65 80 96 130 7 15 27 26

SOLUTION XY Y - No. of TV sets (in 1000) X - Population (Million) 28 40 65 80 96 130 | 439 140 280 975 1760 2592 3380 | 9127 25 49 225 484 729 676 27 26 2X2 2188 | 102

SOLUTION a- 23- b31-3.66 (62) 6 Y 193.7466: b = 6(9127)-(I-2)(43) 2324-

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Harshit Aggarwal

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