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CUET UG Mathematics Applied Mathematics Previous Year Questions (PYQs)
CUET UG Mathematics Applied Mathematics Correlation And Regression PYQ
CUET UG Mathematics Applied Mathematics PYQ
Go to Discussion
CUET UG Mathematics Applied Mathematics Previous Year PYQ CUET UG Mathematics Applied Mathematics CUET UG 2022 Applied Mathematics PYQ
If $y=a+b(x-2005)$ fits the time series data
$x$ (year): $2003,; 2004,; 2005,; 2006,; 2007$
$y$ (yield in tons): $6,; 13,; 17,; 20,; 24$
Then the value of $a+b$ is:
Go to Discussion
CUET UG Mathematics Applied Mathematics Previous Year PYQ CUET UG Mathematics Applied Mathematics CUET UG 2022 Applied Mathematics PYQ
Solution
Let
$u=x-2005$
Then values of $u$:
$-2,; -1,; 0,; 1,; 2$
Corresponding $y$:
$6,; 13,; 17,; 20,; 24$
Now,
$\sum y=6+13+17+20+24=80$
$\sum u=0$
Since $\sum u=0$
$a=\frac{\sum y}{n}$
$=\frac{80}{5}$
$=16$
Now,
$\sum uy=(-2)(6)+(-1)(13)+0(17)+1(20)+2(24)$
$=-12-13+0+20+48$
$=43$
$\sum u^2=4+1+0+1+4=10$
$b=\frac{\sum uy}{\sum u^2}$
$=\frac{43}{10}$
$=4.3$
Now,
$a+b=16+4.3$
$=20.3$
CUET UG Mathematics Applied Mathematics
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CUET UG Mathematics Applied Mathematics
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