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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य कक्षा ११

The term regression was introduced by

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प्रश्न

The term regression was introduced by

विकल्प

  • R. A. Fisher

  • Sir Francis Galton

  • Karl Pearson

  • Croxton and Cowden

MCQ
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उत्तर

Sir Francis Galton

shaalaa.com
Regression Analysis
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 9: Correlation and Regression Analysis - Exercise 9.3 [पृष्ठ २२९]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 9 Correlation and Regression Analysis
Exercise 9.3 | Q 22 | पृष्ठ २२९

संबंधित प्रश्न

From the data given below:

Marks in Economics: 25 28 35 32 31 36 29 38 34 32
Marks in Statistics: 43 46 49 41 36 32 31 30 33 39

Find

  1. The two regression equations,
  2. The coefficient of correlation between marks in Economics and Statistics,
  3. The mostly likely marks in Statistics when the marks in Economics is 30.

The heights (in cm.) of a group of fathers and sons are given below:

Heights of fathers: 158 166 163 165 167 170 167 172 177 181
Heights of Sons: 163 158 167 170 160 180 170 175 172 175

Find the lines of regression and estimate the height of the son when the height of the father is 164 cm.


The following data give the height in inches (X) and the weight in lb. (Y) of a random sample of 10 students from a large group of students of age 17 years:

X 61 68 68 64 65 70 63 62 64 67
Y 112 123 130 115 110 125 100 113 116 125

Estimate weight of the student of a height 69 inches.


Obtain the two regression lines from the following data N = 20, ∑X = 80, ∑Y = 40, ∑X2 = 1680, ∑Y2 = 320 and ∑XY = 480.


The following data relate to advertisement expenditure (in lakh of rupees) and their corresponding sales (in crores of rupees)

Advertisement expenditure 40 50 38 60 65 50 35
Sales 38 60 55 70 60 48 30

Estimate the sales corresponding to advertising expenditure of ₹ 30 lakh.


When one regression coefficient is negative, the other would be


The lines of regression intersect at the point


The following data pertains to the marks in subjects A and B in a certain examination. Mean marks in A = 39.5, Mean marks in B = 47.5 standard deviation of marks in A = 10.8 and Standard deviation of marks in B = 16.8. coefficient of correlation between marks in A and marks in B is 0.42. Give the estimate of marks in B for the candidate who secured 52 marks in A.


X and Y are a pair of correlated variables. Ten observations of their values (X, Y) have the following results. ∑X = 55, ∑XY = 350, ∑X2 = 385, ∑Y = 55, Predict the value of y when the value of X is 6.


The following information is given.

Details X (in ₹) Y (in ₹)
Arithmetic Mean 6 8
Standard Deviation 5 `40/3`

Coefficient of correlation between X and Y is `8/15`. Find

  1. The regression Coefficient of Y on X
  2. The most likely value of Y when X = ₹ 100.

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