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3 years ago

Find the value of the linear correlation coefficient r. Round to 3 decimal places. (47, 8), (46, 10), (27, 10)

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

6 0

Answer:

- 0.5379

Step-by-step explanation:

Given the data below :

(47, 8), (46, 10), (27, 10)

Using the functionality of the correl() function in excel, which takes in the x and y values of a data. The value of correlation Coefficient (r) obtained is - 0.5379 which indicates that a fairly strong negative correlation exists between the x and y variables. As the the strength of correlation depends on how close the Coefficient is to 1 (strong) or 0 ( weak). Negative value indicates that an increase in the value of one variable leads to a decrease on the value of the other.

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Geometry:

Eddi Din [679]

Answer:

<AEB = obtuse angle

<AED = straight angle

<BEA = obtuse angle

<BEC = straight angle

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<DEA = straight angle

<DEB = acute angle

<DEC = obtuse angle

Step-by-step explanation:

3 0

3 years ago

What is the row echelon form of this matrix?

USPshnik [31]

The row echelon form of the matrix is presented as follows;

$\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}$

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

$\begin{bmatrix}-3 &6 &15 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$

The conditions of a matrix in the row echelon form are as follows;

There are row having nonzero entries above the zero rows.
The first nonzero entry in a nonzero row is a one.
The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

$\begin{bmatrix}1 &-2 &-5 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$

Multiplying Row 1 by 2 and subtracting the result from Row 2 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 1&0 &-1 \\\end{bmatrix}$

Subtracting Row 1 from Row 3 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 0&2 &4 \\\end{bmatrix}$

Adding Row 2 to Row 3 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& -2 & 14\\ 0&0 &18 \\\end{bmatrix}$

Dividing Row 2 by -2, and Row 3 by 18 gives;

$\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}$

The above matrix is in the row echelon form

Learn more about the row echelon form here:

brainly.com/question/14721322

#SPJ1

8 0

2 years ago

Solve quadratic equation (x-3)^2+5=14

loris [4]

(X-3)^2+5=14
Step 1: simplify both sides of the equation
X^2-6x+14=14

Step 2: subtract 14 from both sides
X^2-6x+14-14=14-14
X^2-6x=0

For this equation: a=1, b=-6,c=0
1x^2+-6x+0=0

Step 3: Use quadratic formula with a=1, b=-6, c=0

The answer is x=6 or x=0