MEDIUM

Earn 100

Write the regression equation of $y$ on $x$ and its normal equations.

Important Questions on Linear Regression

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

The mean and variance of a binomial distribution are

8

and

4

respectively, then

P (X = 1)

is equal to

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

The marks obtained by students $A$ and $B$ in $3$ examinations are given below

Marks of $A$	$30$	$20$	$40$
Marks of $B$	$70$	$0$	$5$

The ratio of the coefficient of variation of marks of $A$ and the coefficient of variation of marks of $B$ is

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

The variance of

20

observations is

5 .

If each observation is multiplied by

2,

then the variance of the resulting observation is

EASY

Mathematics>Statistics>Linear Regression>The Method of Least Squares

A random variable

X ∽ B (n, p) .

If values of mean and variance of

X

are

18

and

12

respectively then total number of possible values of

X

are

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

Coefficient of variation of two distributions are

50

and

60

and their arithmetic means are

30

and

25

, respectively. Difference of their standard deviation is

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

Coefficient of variation of two distributions are

60

and

70

, and their standard deviation are

21

and

16

, respectively. What are their arithmetic means?

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

Coefficient of variation of two distributions are

60

and

70

and their standard deviations are

21

and

16

respectively. Then their AM's are

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

X

is a Poisson random variable such that

E (X^{2}) = 30

, then the variance of

X

is -

EASY

Mathematics>Statistics>Linear Regression>The Method of Least Squares

Find the least positive value of

k

, if the range of

15, 14, k, 25, 30, 35

23

EASY

Mathematics>Statistics>Linear Regression>The Method of Least Squares

The range of the observations

20, 28, 40, 12, 30, 15, 50

is _____

EASY

Mathematics>Statistics>Linear Regression>The Method of Least Squares

65

is the range of the ungrouped data

50, 70, 60, B, 20, 40

then the absolute difference of the possible values of

B

EASY

Mathematics>Statistics>Linear Regression>The Method of Least Squares

The mean and variance of a binomial variable

X

are

2

and

1

respectively. The probability that

X

takes values greater than

1

, is

EASY

Mathematics>Statistics>Linear Regression>The Method of Least Squares

If the mean of a data

\bar{x}

10

and if all the observations are multiplied by

2

, then the mean of new data is

EASY

Mathematics>Statistics>Linear Regression>The Method of Least Squares

3 %

of the electric bulbs manufactured by a company are defective, the probability that in a sample of

100

bulbs exactly

5

bulbs are defective is

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

For a normal curve, the greatest ordinate is

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

The average runs scored by a batsman in

15

cricket matches is

60

and standard deviation of the runs is

15

. Find the coefficient of variation of the runs scored by him.

HARD

Mathematics>Statistics>Linear Regression>The Method of Least Squares

In a Poisson distribution,

P (X = 2) = P (X = 3)

. Given that

e^{- 3} = 0.050

. Then

P (X = 5)

is -

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

The means of two groups of observations

A

and

B

are

\vec{x}, \vec{y}

respectively and their standard deviations are respectively

2

and

3 .

In order that the group

A

is to be more consistent than the group

B,

\frac{\vec{y}}{\vec{x}} <

MEDIUM

Mathematics>Statistics>Linear Regression>The Method of Least Squares

In a binomial distribution the mean is

15

and variance is

10 .

Then parameter

n

HARD

Mathematics>Statistics>Linear Regression>The Method of Least Squares

A box contains

15

green and

10

yellow balls. If

10

balls are randomly drawn, one-by-one, with replacement, then the variance of the number of green balls drawn is:

Write the regression equation of y on x and its normal equations.

Important Questions on Linear Regression

Learn and Prepare for any exam you want !

Write the regression equation of $y$ on $x$ and its normal equations.