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The term regression was introduced by - Business Mathematics and Statistics

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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.


The equations of two lines of regression obtained in a correlation analysis are the following 2X = 8 – 3Y and 2Y = 5 – X. Obtain the value of the regression coefficients and correlation coefficients.


The regression coefficient of X on Y


The regression coefficient of Y on X


If X and Y are two variates, there can be at most


The lines of regression intersect at the point


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.


Using the following information you are requested to

  1. obtain the linear regression of Y on X
  2. Estimate the level of defective parts delivered when inspection expenditure amounts to ₹ 82
    ∑X = 424, ∑Y = 363, ∑X2 = 21926, ∑Y2 = 15123, ∑XY = 12815, N = 10.
    Here X is the expenditure on inspection, Y is the defective parts delivered.

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