Choose the scatter plot that shows a negative correlation.

Mathematics

2 answers:

Alenkinab [10]3 years ago

4 0

Negative correlation between two variables means when x is increasing but y is decreasing or vice versa.

First graph of suffered animals and children shows a positive slope which means if age of child increasing then numbers of suffered animal is also increasing.So, the first graph show a positive correclation.

Second graph of survey of adults doesn't represnt any distinct relationship as the data scattered randomly everywhere in the graph. So, it's showsa very week correlation.

Third graph of speed and MPG shows a negative slope as speed is increasing then MPG is decreasing. So, the third graph (speed and MPG) shows a negative correlation.

tangare [24]3 years ago

4 0

Answer:

da pink one

Step-by-step explanation:

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Suppose that v is an eigenvector of matrix A with eigenvalue λA, and it is also an eigenvector of matrix B with eigenvalue λB. (

galben [10]

Answer:

(a) Yes, $λ_{A}+λ_{B}$

(b) Yes, $λ_{A}λ_{B}$

Step-by-step explanation:

First, lets understand what are eigenvectors and eigenvalues?

Note: I am using the notation $λ_{A}$ to denote Lambda(A) sign.

$v$ is an eigenvector of matrix A with eigenvalue $λ_{A}$

$v$ is also eigenvector of matrix B with eigenvalue $λ_{B}$

So we can write this in equation form as

$Av=λ_{A}v$

So what does this equation say?

When you multiply any vector by A they do change their direction. any vector that is in the same direction as of $Av$ , then this $v$ is called the eigenvector of $A$ . $Av$ is $λ_{A}$ times the original $v$ . The number $λ_{A}$ is the eigenvalue of A.

$λ_{A}$ this number is very important and tells us what is happening when we multiply $Av$ . Is it shrinking or expanding or reversed or something else?

It tells us everything we need to know!

Bonus:

By the way you can find out the eigenvalue of $Av$ by using the following equation:

$det(A-λI)=0$