I need to know what type of statistical test to use to find a correlation betwee

Question

I need to know what type of statistical test to use to find a correlation between the students scores from the survey and the GPA's related to the scores. It would be great if someone could find the correlation results using some statistical analysis showing whether the correlation is significant and if their is a negative/ positive correlation

Suveyr Validationject Sdore sheet ur ve rojec out of 21 Students this is the information Collecte d SCoreS from Surve Astua l 3. 2 3.47 2. 9 3.0 3.05 3.09 3.2 3.3 3. 3 3.72 1 2. 2 ) 3 3. 24 3.3 3.38 14 1 3.4 8 3.48 3.81 100 3 3. 67 3 3 2 3 3 3 3 3333. 33333

Explanation / Answer

Per your question, describing the procedure to find required answer.

To find correlation coefficient (r) for the variables student' sscores from survey and actual GPA, use the following steps.

Step1. Tabulate the score as X and actual GPA as Y. Theen use the formula

r=(summation X-Xbar)(Y -Y bar)/sqrt [Summation (X-Xbar)^2]]Summation (Y-Ybar)^2]

Then use the formula t=r sqrt (n-2/1-r^2)

Find the critical value of t at alpha=0.05. If the test statistic falls in critical region, reject null hypothesis rXY=0.

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