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:
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Answer:
Step-by-step explanation:
The arithmetic series is
From the given series the general term of the series is
When , we substitute into the general formula to get:
When k=2, we get:
When k=3, we substitute to get:
When k=4, we substitute to get:
When k=5, we get:
Answer:
x =-4
Step-by-step explanation:
4x+9 = -2x-15
Add 2x to each side
4x+2x +9 = -2x+2x-15
6x+9 = -15
Subtract 9 from each side
6x +9-9=-15-9
6x = -24
Divide each side by 6
6x/6 = -24/6
x = -4
In order to check if the lines are perpendicular, we need to check if their slopes have the following relation (to find the slope we can use the slope-intercept form y = mx + b):
A.
In this option, y = -5 is an horizontal line and x = 2 is a vertical line, therefore they are perpendicular.
B.
First let's find the slope of each line:
These slopes obey the relation stated above, so the lines are perpendicular.
C.
These slopes obey the relation stated above, so the lines are perpendicular.
D.
These slopes obey the relation stated above, so the lines are perpendicular.
E.
These slopes don't obey the relation stated above, so the lines aren't perpendicular.
The correct options are A, B, C and D.