What is/are true about ridge regression?<br>1. When lambda is 0, model works like linear regression model<br>2. When lambda is 0, model doesn't work like linear regression model<br>3. When lambda goes to infinity, we get very, very small coefficients approaching<br>04. When lambda goes to infinity, we get very, very large coefficients approaching infinity.

Large, medium and small ships are used to bring water. 4 large ships carry as much water as 7 small ships, 3 medium ships carry the same amount of water as 2 large ships and 1 small ship. 15 large, 7 medium and 14 small ships, each made 36 journeys and brought a certain quantity of water. In how many journeys would 12 large, 14 medium and 21 small ships bring the same quantity ?

A

25

B

29

C

32

D

49

Read the following information carefully and answer the questions that follow: Seven persons Tina, Vini, Yasir, Rishi, Sanya, Pankaj and Urmila live on the separate floors of a 7- floor building. Ground floor is number one; second floor is number two and so on. Each of them goes to a city viz. Paris, Istanbul, Shanghai, Durban, London, Madrid and Dubai but not necessarily in the same order. Only three people live above the floor on which Sanya lives. Only one person lives between Sanya and the one who goes to Paris. Vini lives just below the person who goes to Madrid. Only three people live between the one who goes to Paris and London. The person who goes to Madrid lives on an even numbered floor. Urmila lives just above Rishi. Urmila does not go to London. Only two persons live between Pankaj and the one who goes to Durban. Pankaj lives above the person who goes to Durban. Yasir does not go to Istanbul. Tina does not live just above or just below Sanya. The one who goes to Shanghai does not live just above or just below Pankaj. Who among the following lives on floornumber 7?

A

Tina\

B

Yasir

C

Pankaj

D

Urmila

Suppose you have fitted a complex regression model on a dataset. Now, you are using Ridge regression with tuning parameter lambda to reduce its complexity. Choose the option(s) below which describes relationship of bias and variance with lambda.

A

In case of very large lambda; bias is low, variance is low

B

In case of very large lambda; bias is low, variance is high

C

In case of very large lambda; bias is high, variance is low

D

In case of very large lambda; bias is high, variance is high

Two monochromatic waves having frequencies $$\omega $$ and $$\omega + \Delta \omega \left( {\Delta \omega \ll \omega } \right)$$ and corresponding wavelengths $$\lambda $$ and $$\lambda - \Delta \lambda \left( {\Delta \lambda \ll \lambda } \right)$$ of same polarization, travelling along X-axis are superimposed on each other. The phase velocity and group velocity of the resultant wave are respectively given by

A

$$\frac{{\omega \lambda }}{{2\pi }},\,\frac{{\Delta \omega {\lambda ^2}}}{{2\pi \Delta \lambda }}$$

B

$$\omega \lambda ,\,\frac{{\Delta \omega {\lambda ^2}}}{{\Delta \lambda }}$$

C

$$\frac{{\omega \Delta \lambda }}{{2\pi }},\,\frac{{\Delta \omega \Delta \lambda }}{{2\pi }}$$

D

$$\omega \Delta \lambda ,\,\omega \Delta \lambda $$

In a linear regression problem, we are using "R-squared" to measure goodness-of-fit. We add a feature in linear regression model and retrain the same model. Which of the following option is true?

A

If R Squared increases, this variable is significant.

B

If R Squared decreases, this variable is not significant.

C

Individually R squared cannot tell about variable importance. We can't say anything about it right now.

D

None of these.

The uniform distribution can range from -infinity to 0 or 0 to Infinity but not from -infinity to infinity.

A

True

B

False

X and Y together can do a piece of work in 30 days. Y and Z together can do the work in 20 days. X starts the work and works for 15 days then Y takes that work and works for 27 days. Finally Z finishes the remaining work in 9 days. In how many days Y alone can complete the entire work?

A

60

B

45

C

50

D

65

Fact 1: All dogs like to run.
Fact 2: Some dogs like to swim.
Fact 3: Some dogs look like their masters.

If the first three statements are facts, which of the following statements must also be a fact?
I: All dogs who like to swim look like their masters.
II: Dogs who like to swim also like to run.
III: Dogs who like to run do not look like their masters.

A

I only

B

II only

C

II and III only

D

None of the statements is a known fact.

E

None of the statements is a known fact.

Q.(1-4): Answer the questions on the basis of the information given below. * F,G and H are insurance companies , Q,R,S and T are private detectives .Each detective works for at least one of the insurance companies. * Q always works for F and at least one of the other companies. Some of the time G employs only one of these detectives,' the rest of the time it employs exactly two of them. *F and H each employ exactly two of these detectives all the time. If R works for H only, and if S works for G and H only, T works for--

A

F only

B

G only

C

H only

D

both F and G

Assertion (A): If regression coefficient of X on Y is greater than one, regression coefficient of Y on X must be less than one.
Reason (R): The geometric mean between two regression coefficients is the coefficient of correlation.

A

Both (A) and (R) are true

B

(A) is true, but (R) is false

C

(A) is false, but (R) is true

D

Both (A) and (R) are false