Question

HELPPPPPPPPPP!!!!!!! Calculate the correlation coefficient for the following data, showing all work. What does it tell you about the data?

Answer 1

Answer:

I will show the way.

Step-by-step explanation:

r is the correlation coefficient

$r=\frac{SSxy}{\sqrt{(SSxx)(SSyy)}}$

To find SSxy

SSxy= ∑$xy$- ∑$\frac{(x)(y)}{n}$

To find SSxx

SSxy= ∑$x^{2}$- $($∑x$)^{2}$/n

To find SSyy

SSxy= ∑$y^{2}$- $($∑y$)^{2}$/n

if your r is near +1, it shows strong positive correlation. Y is proportional to X.

And if it nears -1, it would show strong negative correlation. Y is inversely proportional to X.

Answer 2

The correlation coefficient for the following data is 7,321.95.

How to find the correlation coefficient?

Here are the steps to take in calculating the correlation coefficient:

• Determine your data sets. ...
• Calculate the standardized value for your x variables.
• Calculate the standardized value for your y variables.
• Multiply and find the sum.
• Divide the sum and determine the correlation coefficient.

The value of x are 43, 21, 25, 42, 57, 59

The value of y are 99, 65, 79, 75, 87, 81

The mean of x is 41.166

The mean of y is 81.

Standard deviation of x:

σ =√∈($x_{i}$ - ч)$^{2}$ / N

σ =  √(247 - 41.166)² / 6

σ =   √7,061.47

= 84.03

The standard deviation of y:

σ =√∈($x_{i}$  - ч)² / N

σ =  √(486-81)² / 6

σ = √1,64,025 / 6

σ = √27,337.5

σ = 522.81

Multiply both x and y standard deviations

84.03 * 522.81 = 43,931.7243

Divide the sum

43,931.72 / 6  = 7,321.95

A correlation coefficient is a number between -1 and 1 that tells you the strength and direction of a relationship between variables.

Learn more about correlation coefficient here: brainly.com/question/4219149

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