Download App

Statistics 2 Marks Each

PART 1 : LINEAR REGRASSION · Gujarat Board (GSEB) STD 12 Commerce (GSEB - English Medium). 12 questions.

Questions

2 Marks Each

🎯

Test yourself on this topic

12 questions · timed · auto-graded

Question 12 Marks
The following results are obtained while studying the experience $($in year$)$ of ten salesmen and the sales $($lakh $₹)$ achieved by them.
Particular Experience of salesmen $($year$)$ Sales $($lakh $₹)$
Mean $3.5$ $40.6$
Standard deviation $2.1$ $6.5$
Sum of the products of the deviations taken from the mean $100$  

Obtain regression line of $Y$ on $X$ from this data.
Answer
$\hat{y}=32.65+2.27 x$
View full question & answer→
Question 22 Marks
The following results are obtained while studying the relation between the marks of Statistics and Elements of Accounts for $60$ students of standard $12.$ Obtain regession line of the marks of Elements of Accounts on the marks of Statistics from this data.
Particular Marks of Statistics Marks of Elements of Accounts
Mean $60$ $62$
Sum of the squares of the deviations taken from the mean $2870$ $2230$
Sum of the products of the deviations taken from the mean $2409$  
Answer
$\hat{y}=11.6+0.84 x$
View full question & answer→
Question 32 Marks
The information regarding the price of a particular commodity and its supply is as follows:
$\bar{x}=35, \bar{y}=60, r=0.8, S_x=2.5$ and $S_y=2$
Obtain the regression line of $Y$ on $X$ from it.
Answer
$\hat{y}=37.6+0.64 x$
View full question & answer→
Question 42 Marks
The following results are obtained for annual administrative expense and the profit of a company.
Particulars $x$ $y$
Mean $60$ $25$
Standard deviation $6$ $3$
Covariance $10.4$  
Answer
$\hat{y}=7.6+0.29 x$
View full question & answer→
Question 52 Marks
The following results are obtained while studying the annual income $($thousand $₹ )$ and annual saving $($thousand $₹)$ of a particular family. $\bar{y}=60$, variance of $X=144$, covariance $(x, y)=300$ and intercept $=-54$. Find the mean of $X$.
Answer
$\bar{x}=54.81$
View full question & answer→
Question 62 Marks
The following results are obtained from the data collected for the rain $($cms$)$ and the yield of crop $($tons$)$ of ten different areas. $\bar{x}=100, \bar{y}=80, a=26, S_x=15$ and $S_y=12$. Find covariance of $X$ and $Y$.
Answer
$\operatorname{Cov}(x, y)=121.5$
View full question & answer→
Question 72 Marks
The following information is obtained from the sample taken to study the annual advertisement expenditure $($lakh $₹)$ and annual sales $($crore $₹)$ of a company :
$n=8, \bar{x}=120, \bar{y}=90, S_x=18, S_y=12$ and $\operatorname{Cov}(x, y)=150$
Obtain the intercept and the regression coefficient on the basis of the given data..
Answer
$b=0.46, a=34.8$
View full question & answer→
Generate Paper FreeAll PART 1 : LINEAR REGRASSION topics
2 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip