What are the r- values of the following data to three decimal places?
1 answer:
Answer:
Option D. -0.901
Step-by-step explanation:
we know that
<u>The correlation coefficient</u> r measures the strength and direction of a linear relationship between two variables. The value of r is always between +1 and –1
Using a Excel tool (Correl function)
The value of coefficient r is -0.9006876
Round to three decimal places
r=-0.901
see the table attached
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Answer:
x²/2166784 +y²/2159989 = 1
Step-by-step explanation:
The relationship between the semi-axes and the eccentricity of an ellipse is ...
e = √(1 -b²/a²)
In order to write the desired equation we need to find 'b' from 'e' and 'a'.
__
<h3>semi-minor axis</h3>Squaring the equation for eccentricity gives ...
e² = 1 -b²/a²
Solving for b², we have ...
b²/a² = 1 -e²
b² = a²(1 -e²)
<h3>ellipse equation</h3>Using the given values, we find ...
b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989
The desired equation is ...
x²/2166784 +y²/2159989 = 1
