11th Business Maths Monthly Test - 4 ( Correlation and Regression Analysis )

MABS Institution

11th Business Maths Monthly Test - 4 ( Correlation and Regression Analysis )-Aug 2020

Time : 2.00 Hours

Part - A

Generic 5 - Answer All Question

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 son when the height of the father is 164 cm .

Given the following data, what will be the possible yield when the rainfall is 29"

Rainfall Production

Mean 25" 40 units per acre

Standard Deviation 3" 6 units per acre

Coefficient of correlation between rainfall and production is 0.8.

Find coefficient of correlation for the following:

X 78 89 96 69 59 79 68 62

Y 121 72 88 60 81 87 123 92

For 5 observations of pairs of (X, Y) of variables X and Y the following results are obtained. ΣX=15, ΣY=25, ΣX²=55, ΣY²=135, ΣXY=83. Find the equation of the lines of regression and estimate the values of X and Y if Y=8; X=12.

Find out the coefficient of correlation in the following case and interpret.

Height of father (in inches) 65 66 67 67 68 69 71 73

Height of son (in inches) 67 68 64 68 72 70 69 70

For the following observations, find the regression co-efficient b_yx and b_xy and hence find the correlation co-efficient (4,2)(2,3)(3,2)(4,4)(2,4).

The equations of two regression lines are 4x+3y+7=0 and 3x+4y+8=0. Find (i) the mean of x and the mean of y (ii) the regression co-efficient b_xy and b_yx (iii) the correlation co-efficient between x and y.

Obtain regression equation of Y on X and estimate Y when X=55 from the following.

X 40 50 38 60 65 50 35

Y 38 60 55 70 60 48 30

Out the following two regression lines, find the line of regression of X on Y, 2x+3y=7 and 5x+54=9.

Obtain the two regression lines from the following data N=20, ΣX=80, ΣY=40, ΣX²=1680, ΣY²=320 and ΣXY=480

Find the means of X and Y variables and the coefficient of correlation between them from the following two regression equations:
2Y–X–50 = 0
3Y–2X–10 = 0

The two regression lines were found to be 4X–5Y+33=0 and 20X–9Y–107=0. Find the mean values and coefficient of correlation between X and Y.

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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

	Rainfall	Production
Mean	25"	40 units per acre
Standard Deviation	3"	6 units per acre

Height of father (in inches)	65	66	67	67	68	69	71	73
Height of son (in inches)	67	68	64	68	72	70	69	70

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Institutions

12th Standard English Medium

12th Standard Tamil Medium

11th Standard English Medium

11th Standard Tamil Medium

10th Standard English Medium

9th Standard English Medium

8th Standard English Medium

7th Standard English Medium

Class XII

Class XI

12Th Standard

11Th Standard

10Th Standard

9Th Standard

11th Business Maths Monthly Test - 4 ( Correlation and Regression Analysis )

MABS Institution

11th Business Maths Monthly Test - 4 ( Correlation and Regression Analysis )-Aug 2020

Part - A

Generic 5 - Answer All Question

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 son when the height of the father is 164 cm .

Given the following data, what will be the possible yield when the rainfall is 29" Rainfall Production Mean 25" 40 units per acre Standard Deviation 3" 6 units per acre Coefficient of correlation between rainfall and production is 0.8.

Find coefficient of correlation for the following: X 78 89 96 69 59 79 68 62 Y 121 72 88 60 81 87 123 92

For 5 observations of pairs of (X, Y) of variables X and Y the following results are obtained. ΣX=15, ΣY=25, ΣX2=55, ΣY2=135, ΣXY=83. Find the equation of the lines of regression and estimate the values of X and Y if Y=8; X=12.

Find out the coefficient of correlation in the following case and interpret. Height of father (in inches) 65 66 67 67 68 69 71 73 Height of son (in inches) 67 68 64 68 72 70 69 70

For the following observations, find the regression co-efficient byx and bxy and hence find the correlation co-efficient (4,2)(2,3)(3,2)(4,4)(2,4).

The equations of two regression lines are 4x+3y+7=0 and 3x+4y+8=0. Find (i) the mean of x and the mean of y (ii) the regression co-efficient bxy and byx (iii) the correlation co-efficient between x and y.

Obtain regression equation of Y on X and estimate Y when X=55 from the following. X 40 50 38 60 65 50 35 Y 38 60 55 70 60 48 30

Out the following two regression lines, find the line of regression of X on Y, 2x+3y=7 and 5x+54=9.

Obtain the two regression lines from the following data N=20, ΣX=80, ΣY=40, ΣX2=1680, ΣY2=320 and ΣXY=480

Find the means of X and Y variables and the coefficient of correlation between them from the following two regression equations: 2Y–X–50 = 0 3Y–2X–10 = 0

The two regression lines were found to be 4X–5Y+33=0 and 20X–9Y–107=0. Find the mean values and coefficient of correlation between X and Y.

Comment

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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 son when the height of the father is 164 cm .

Given the following data, what will be the possible yield when the rainfall is 29"

Rainfall Production

Mean 25" 40 units per acre

Standard Deviation 3" 6 units per acre

Coefficient of correlation between rainfall and production is 0.8.

Find coefficient of correlation for the following:

X 78 89 96 69 59 79 68 62

Y 121 72 88 60 81 87 123 92

For 5 observations of pairs of (X, Y) of variables X and Y the following results are obtained. ΣX=15, ΣY=25, ΣX²=55, ΣY²=135, ΣXY=83. Find the equation of the lines of regression and estimate the values of X and Y if Y=8; X=12.

Find out the coefficient of correlation in the following case and interpret.

Height of father (in inches) 65 66 67 67 68 69 71 73

Height of son (in inches) 67 68 64 68 72 70 69 70

For the following observations, find the regression co-efficient b_yx and b_xy and hence find the correlation co-efficient (4,2)(2,3)(3,2)(4,4)(2,4).

The equations of two regression lines are 4x+3y+7=0 and 3x+4y+8=0. Find (i) the mean of x and the mean of y (ii) the regression co-efficient b_xy and b_yx (iii) the correlation co-efficient between x and y.

Obtain regression equation of Y on X and estimate Y when X=55 from the following.

X 40 50 38 60 65 50 35

Y 38 60 55 70 60 48 30

Obtain the two regression lines from the following data N=20, ΣX=80, ΣY=40, ΣX²=1680, ΣY²=320 and ΣXY=480

Find the means of X and Y variables and the coefficient of correlation between them from the following two regression equations:
2Y–X–50 = 0
3Y–2X–10 = 0