Choose The Correct Alternative: If Byx < 0 And Bxy < 0, Then R Is

English0Maharashtra State BoardHSC Commerce (English Medium) 12th Standard Board ExamQuestion PapersQuestion Papers269Textbook Solutions12307MCQ Online Mock Tests99Important Solutions6205Concept Notes & Videos129Time Tables31SyllabusChoose the correct alternative: If byx < 0 and bxy < 0, then r is ______ - Mathematics and Statistics

Advertisements

Advertisements

Question

Choose the correct alternative:

If byx < 0 and bxy < 0, then r is ______

Options

• < 0

• > 0

• c = 0

• > 1

MCQFill in the Blanks

Advertisements

SolutionShow Solution

< 0

shaalaa.comProperties of Regression Coefficients Report Error Is there an error in this question or solution?Q 3Q 2Q 4Chapter 2.3: Linear Regression - Q.1

APPEARS IN

SCERT Maharashtra Mathematics and Statistics (Commerce) [English] 12 Standard HSCChapter 2.3 Linear RegressionQ.1 | Q 32021-2022 (March) Model set 1 shaalaa.com (with solutions)Q 4.A.iii | 1 mark

RELATED QUESTIONS

For bivariate data. `bar x = 53`, `bar y = 28`, byx = −1.2, bxy = −0.3. Find the correlation coefficient between x and y.

From the data of 7 pairs of observations on X and Y, following results are obtained.

∑(xi - 70) = - 35, ∑(yi - 60) = - 7,

∑(xi - 70)2 = 2989, ∑(yi - 60)2 = 476,

∑(xi - 70)(yi - 60) = 1064

[Given: `sqrt0.7884` = 0.8879]

Obtain

1. The line of regression of Y on X.
2. The line regression of X on Y.
3. The correlation coefficient between X and Y.

You are given the following information about advertising expenditure and sales.

Advertisement expenditure (₹ in lakh) (X)	Sales (₹ in lakh) (Y)
Arithmetic Mean	10	90
Standard Mean	3	12

Correlation coefficient between X and Y is 0.8

1. Obtain the two regression equations.
2. What is the likely sales when the advertising budget is ₹ 15 lakh?
3. What should be the advertising budget if the company wants to attain sales target of ₹ 120 lakh?

Bring out the inconsistency in the following:

bYX + bXY = 1.30 and r = 0.75

Bring out the inconsistency in the following:

bYX = bXY = 1.50 and r = - 0.9

Bring out the inconsistency in the following:

bYX = 2.6 and bXY = `1/2.6`

Given the following information about the production and demand of a commodity obtain the two regression lines:

X	Y
Mean	85	90
S.D.	5	6

The coefficient of correlation between X and Y is 0.6. Also estimate the production when demand is 100.

The following data about the sales and advertisement expenditure of a firms is given below (in ₹ Crores)

Sales	Adv. Exp.
Mean	40	6
S.D.	10	1.5

Coefficient of correlation between sales and advertisement expenditure is 0.9.

What should be the advertisement expenditure if the firm proposes a sales target ₹ 60 crores?

From the two regression equations, find r, `bar x and bar y`. 4y = 9x + 15 and 25x = 4y + 17

In a partially destroyed laboratory record of an analysis of regression data, the following data are legible:

Variance of X = 9 Regression equations: 8x − 10y + 66 = 0 and 40x − 18y = 214. Find on the basis of above information

1. The mean values of X and Y.
2. Correlation coefficient between X and Y.
3. Standard deviation of Y.

The equations of two regression lines are x − 4y = 5 and 16y − x = 64. Find means of X and Y. Also, find correlation coefficient between X and Y.

Two lines of regression are 10x + 3y − 62 = 0 and 6x + 5y − 50 = 0. Identify the regression of x on y. Hence find `bar x, bar y` and r.

The two regression lines between height (X) in inches and weight (Y) in kgs of girls are,4y − 15x + 500 = 0 and 20x − 3y − 900 = 0 Find the mean height and weight of the group. Also, estimate the weight of a girl whose height is 70 inches.

If bYX = − 0.6 and bXY = − 0.216, then find correlation coefficient between X and Y. Comment on it.

Choose the correct alternative:

If for a bivariate data, bYX = – 1.2 and bXY = – 0.3, then r = ______

State whether the following statement is True or False:

Corr(x, x) = 0

Corr(x, x) = 1

|bxy + byx| ≥ ______

If u = `(x - "a")/"c"` and v = `(y - "b")/"d"`, then bxy = ______

Given the following information about the production and demand of a commodity. Obtain the two regression lines:

ADVERTISEMENT (x)(₹ in lakhs)	DEMAND (y)(₹ in lakhs)
Mean	10	90
Variance	9	144

Coefficient of correlation between x and y is 0.8.What should be the advertising budget if the company wants to attain the sales target of ₹ 150 lakhs?

The equations of the two lines of regression are 2x + 3y − 6 = 0 and 5x + 7y − 12 = 0. Find the value of the correlation coefficient `("Given" sqrt(0.933) = 0.9667)`

The equations of the two lines of regression are 6x + y − 31 = 0 and 3x + 2y – 26 = 0. Find the value of the correlation coefficient

Mean of x = 53

Mean of y = 28

Regression coefficient of y on x = – 1.2

Regression coefficient of x on y = – 0.3

a. r = `square`

b. When x = 50,

`y - square = square (50 - square)`

∴ y = `square`

c. When y = 25,

`x - square = square (25 - square)`

∴ x = `square`

Mean of x = 25

Mean of y = 20

`sigma_x` = 4

`sigma_y` = 3

r = 0.5

byx = `square`

bxy = `square`

when x = 10,

`y - square = square (10 - square)`

∴ y = `square`

The regression equation of y on x is 2x – 5y + 60 = 0

Mean of x = 18

`2 square - 5 bary + 60` = 0

∴ `bary = square`

`sigma_x : sigma_y` = 3 : 2

∴ byx = `square/square`

∴ byx = `square/square`

∴ r = `square`

The following results were obtained from records of age (x) and systolic blood pressure (y) of a group of 10 women.

x	y
Mean	53	142
Variance	130	165

`sum(x_i - barx)(y_i - bary)` = 1170

For a bivariate data:

`sum(x - overlinex)^2` = 1200, `sum(y - overliney)^2` = 300, `sum(x - overlinex)(y - overliney)` = – 250

Find:

1. byx
2. bxy
3. Correlation coefficient between x and y.

Question Bank with Solutions

• Maharashtra State Board Question Bank with Solutions (Official)

Textbook Solutions

• Balbharati Solutions (Maharashtra)
• Samacheer Kalvi Solutions (Tamil Nadu)
• NCERT Solutions
• RD Sharma Solutions
• RD Sharma Class 10 Solutions
• RD Sharma Class 9 Solutions
• Lakhmir Singh Solutions
• TS Grewal Solutions
• ICSE Class 10 Solutions
• Selina ICSE Concise Solutions
• Frank ICSE Solutions
• ML Aggarwal Solutions

NCERT Solutions

• NCERT Solutions for Class 12 Maths
• NCERT Solutions for Class 12 Physics
• NCERT Solutions for Class 12 Chemistry
• NCERT Solutions for Class 12 Biology
• NCERT Solutions for Class 11 Maths
• NCERT Solutions for Class 11 Physics
• NCERT Solutions for Class 11 Chemistry
• NCERT Solutions for Class 11 Biology
• NCERT Solutions for Class 10 Maths
• NCERT Solutions for Class 10 Science
• NCERT Solutions for Class 9 Maths
• NCERT Solutions for Class 9 Science

Board / University Study Material

• CBSE Study Material
• Maharashtra State Board Study Material
• Tamil Nadu State Board Study Material
• CISCE ICSE / ISC Study Material
• Mumbai University Engineering Study Material

Question Paper Solutions

• CBSE Previous Year Question Papers With Solutions for Class 12 Arts
• CBSE Previous Year Question Papers With Solutions for Class 12 Commerce
• CBSE Previous Year Question Papers With Solutions for Class 12 Science
• CBSE Previous Year Question Papers With Solutions for Class 10
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Arts
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Commerce
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Science
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 10
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Arts
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Commerce
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Science
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 10

Other Resources

• Entrance Exams
• Video Tutorials
• Question Papers
• Question Bank Solutions
• Question Search (beta)
• Privacy Policy
• Terms and Conditions
• Contact Us
• About Us
• Shaalaa App
• Ad-free Subscriptions

© 2025 Shaalaa.com | Contact Us | Privacy PolicyShare 0 0 0 0 0Notifications

Select a course

CANCELEnglishहिंदीमराठीuserLoginCreate free accountemail:password:Log in Forgot password?CourseHSC Commerce (English Medium) 12th Standard Board Exam Maharashtra State BoardHSC Commerce: Marketing and Salesmanship 12th Standard Board Exam Maharashtra State BoardHSC Commerce (Marathi Medium) 12th Standard Board Exam [इयत्ता १२ वी] Maharashtra State Boardchange

• Home
• Class 1 - 4
• Class 5 - 8
• Class 9 - 10
• Class 11 - 12
• Entrance Exams
• Search by Text or Image
• Textbook Solutions
• Study Material
• Remove All Ads

• Change mode
• Log out

Use app×