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Regression analysis of relationshipbetween Production of cereals and

Percentage Area under Irrigation

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Variables taken:

Dependent Variable(Y): Production of cereals

Independent Variable(X): Percentage Area under Irrigation

A priori reasoning: There is a direct relationship betweenproduction of cereals and per cent area under irrigation.

Null hypothesis: There is no linear relationship between

production of cereals and per cent area under irrigation.

Alternate hypothesis: Their exists a linear relationship between

production of cereals and per cent area under irrigation.

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Data SheetYear Production (Y)

% Area under

Irrigation (X )1990-91 32.7 9

1991-92 25.99 10.7

1992-93 36.59 10.1

1993-94 30.82 10.4

1994-95 29.88 10.4

1995-96 29.03 11

1996-97 34.1 10.2

1997-98 30.4 11

1998-99 31.34 12

1999-00 30.33 12.6

2000-01 31.08 12.5

2001-02 33.38 11.5

2002-03 26.07 11

2003-04 37.6 6.6

2004-05 33.47 6.6

2005-06 34.07 13

2006-07 33.92 13.4

2007-08 40.75 14.2

1990-91 32.7 9

1991-92 25.99 10.7

1992-93 36.59 10.1

Y = production million. tones.

X = % area under irrigation.

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Simple Linear

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Simple Linear

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Simple Linear Analysis

Y= 32.500-0.018x+3.84737

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Log Linear

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Log Linear

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Analysis

Log Y= 1.562-0.053log x

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Semi Log

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Semi Log

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Analysis

Ln Y=-15.015+0.009X

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Linear Trend

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Linear Trend

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Analysis

The regression equation is

Y= -583.391+ 0.308x +3.454

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Cubic

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Cubic

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Analysis

The regression equation is :Y= 49.463-0.509 x^2 + 0.032 x^3+10.315

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Summary Table

Particulars Equation Constant Slope t Value Sig Level R 2

Simple Linear Y= 32.500-0.018x+3.84737 32.500 -0.018 -0.039 0.969 0.000

Log Linear Log Y= 1.562-0.053log x 1.562 -0.053 -0.390 0.701 0.009

Semi Log Ln Y=-15.015+0.009X -15.015 0.009 1.897 0.076 0.184

Linear Trend Y= -583.391+ 0.308x +3.454 -583.391 0.308 1.962 0.067 0.194

Cubic Y= 49.463-0.509 x^2 + 0.032

x^3+10.315

49.463 -3.618,

3.610

0.003,

0.002

0.479

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THANK YOU

Name Roll No.

Manu Thomas U311077

Milind GeeteU311078

Sachin Tanajirao Pethkar U311087

V Ramesh U311096

Vandana Kumari U311098

Varun Kappal U311099

Julian Tobias U511003

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