# is finding a linear correlation coefficient the same as finding the correlation coefficient? if not, an example of linear correlation coefficient would help.

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is finding a linear correlation coefficient the same as finding the correlation coefficient? if not, an example of linear correlation coefficient would help.

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Step 1

The type of coefficient to be calculated would depend on whether the variables are categorized as nominal, ordinal or interval data. When both variables are nominal, for an instance, Phi ecefficient is used. When both variables are ordinal Spearman Rank correlation coefficient is used.

For linear relationship, Pearson product-moment correlation coefficient is used. This correlation coefficient gives us an idea about the linear relationship between the two variables. Correlation coefficient is loosely used in texts to mean Pearson product-moment correlation coefficient.

The formula for calculating this correlation coefficient is: help_outlineImage TranscriptioncloseΣx-ΣΙΣ. inΣ- (ΣΟΣΥ- (Σ)1 Where n number of pairs of observations Zxy ILm of the prodncts of paired scores Exsum ofx scores Ey sum ofy scores Ex2-SLm of squared x scores Ey m of squared y scores fullscreen
Step 2

Now let's consider an example:  suppose we have 6 individuals and we want to see how the age of these individuals is related with their glucose level. The data is given below:

Step 3

Now we can find the correlation coefficient for the given dat... help_outlineImage TranscriptioncloseGlucose level y xy Age x 42 99 1764 9801 4158 4225 1430 22 65 484 24 79 576 6241 1896 1849 43 75 5625 3225 40 87 1600 7569 3480 59 81 3481 6561 4779 Σν 486 Σν'- Σ- Ex 230 40022 >xy=18968 = 9754 6x18968-230 x 486 V16x9754-2307][6x40022-436*] 113808-111780 |(58524-52900)240132- 236196) 2028 22136064 2028 4704.898 Tounded to 3 decimal places -0.431 fullscreen

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