5. Rounded to three decimal places, what is the value of r for this data set?
1 answer:
The value of correlation coefficient (r) for the dataset is 0.981
<h3>What is correlation coefficient (r)?</h3>The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.
The dataset is given as:
- x: 8 15 3 7 2 14
- y: 15 21 6 12 3 20
Using a graphing calculator, we have the following parameters:
<h3>X Values </h3>- ∑x = 49
- Mean = 8.167
- ∑(X - Mx)2 = SSx = 146.833
<h3>Y Values </h3>
- ∑y = 77
- Mean = 12.833
- ∑(Y - My)2 = SSy = 266.833
<h3>X and Y Combined </h3>
- N = 6
- ∑(X - Mx)(Y - My) = 194.167
The correlation coefficient (r) is then calculated as:
This gives
Approximate
Hence, the value of correlation coefficient (r) for the dataset is 0.981
Read more about correlation coefficient at:
You might be interested in
Answer:
test statistic, z = −1.74
Step-by-step explanation:
given data
students n = 100
mean time x = 41.13 seconds
σ = 5
we consider µ = 42
solution
we get here The test statistic that is express as
test statistic, z = ......................1
put here value and we will get
test statistic, z = \frac{41.13-42}{\frac{5 }{\sqrt{100}}}
test statistic, z = −1.74
Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the values in terms of
from the equation
into the other equation to solve for
Substituting into
.
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴
<em>Plugging in into
.</em>
We have,
∴
The solution of the system can be given as (5,-8).