मराठी

Collect the price of five vegetables from your local market every day for a week. Calculate their correlation coefficients. Interpret the result. - Economics

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प्रश्न

Collect the price of five vegetables from your local market every day for a week. Calculate their correlation coefficients. Interpret the result.

बेरीज

उत्तर

Day Potato (per kg) Tomato (per kg) Onion (per kg) Babycorn (per kg) Broccoli (per kg)
1 18 30 35 110 170
2 18 35 36 112 165
3 18 32 35 120 150
4 20 32 34 118 155
5 20 35 36 115 155
6 20 35 35 110 160
7 21 32 35 111 165

Correlation between prices of potato and tomato 

Potato (per kg) (x) Tomato (per kg) (Y) `X -overlineX` `(X -overlineX)^2` `Y -overlineY` `(Y -overlineY)^2` `(X -overlineX)` `(Y -overlineY)`
18 26 -1 1 -4 16 4
18 31 -1 1 1 1 -1
18 28 -1 1 -2 4 2
18 28 -1 1 -2 4 2
20 31 1 1 1 1 1
20 35 1 1 5 25 5
21 31 2 4 1 1 2
∑X =  133 ∑Y = 210   ∑`(X -overlineX)^2` = 10   `(Y -overlineY)^2 = 52` ∑`(X -overlineX)` `(Y -overlineY)` = 15

r = `(sum(X - overlineX)(Y - overlineY))/sqrt(sum(X - overlineX)^2(Y - overlineY)^2` = +0.65

Likewise we can calculate correlation between different pairs of vegetables or we can use multivariate correlation to find the relation between the vegetables.

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Measures of Correlation - Karl Pearson'S Method (Two Variables Ungrouped Data)
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Correlation - Exercise [पृष्ठ १०५]

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एनसीईआरटी Statistics for Economics [English]
पाठ 7 Correlation
Exercise | Q 13. | पृष्ठ १०५
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