Question
Following data is collected on two mutually dependent variables $X$ and $Y$ : $n=25, \Sigma x=125, \Sigma y=100, \Sigma x y=508, \Sigma x^{2}=650, \Sigma y^{2}=440$ obtain the regression line of $Y$ on $X$. Estimate $Y$ for $X=15$.

Answer

$\hat{y}=2.4+0.32 x ; \hat{y}=7.2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

As compared to the year $2015,$ the prices of three items $A, B$ and $C$ have increased by $90\%, 120\%$ and $75\%$ respectively in the year $2017,$ while the prices of remaining two items $D$ and $E$ have decreased by $10\%$ and $15\%$ respectively. Relative importance of $A$ is twice that of $B$ and relative importance of $C$ is thrice that of $A.$ Relative importance of $D$ and $E$ are one and half times that of $C.$ Construct general index number of price for $2017.$
Express the following modulus form in neighbourhood form: $(1)\ |x|<1\ (2)\ |2 x-1|<2\ (3)\ |x+2|<0.5$
There are $3$ boys and $2$ girls in a friend-circle. Two persons are randomly selected from this friend-circle one by one with replacement to sing a song. Find the probability that the first person is a boy and the second person is a girl in the two persons selected to sing a song.
The index number for the year $2012$ is $100 .$ It increased by $5 \%$ in the year $2013 ,$ decreased by $10 \%$ in $2014,$ decreased by $5 \%$ in $2015 ,$ increased by $20 \%$ in $2016,$ increased by $25 \%$ in $2017 .$ Find index numbers for these six years. Also convert them into chain base index numbers.
Find $f^{\prime \prime}(3)$, if $f(x)=2 x^4-x^3+5 x^2-9
x+10$
Find the value of the following: $\lim _{x \rightarrow 3} \frac{x^{2}-3 x+5}{x+2}$
If $\bar{x}=30, \bar{y}=50, r =0.8$ and the standard deviations of $X$ and $Y$ are $2$ and $5$ respectively obtain the regression line of $Y$ on $X.$
$\text { The chain base index numbers are given in the following table. Prepare fixed base index numbers from it. }$
Year $2014$ $2015$ $2016$ $2017$ $2018$
Index number $80$ $110$ $120$ $105$ $200$
Discuss the limitations of the method of moving average.
Fit a linear equation from the following data for variable $(y)$ of a time series. $n=6, \Sigma y=501, \Sigma t y=1762$