A data between rating of the restaurant and the approximate price of food in the restaurant. After d

Ezekiel Yoder

Ezekiel Yoder

Answered question

2022-06-20

A data between rating of the restaurant and the approximate price of food in the restaurant. After doing Hypothesis testing. The pearson correlation coefficient was found to be 0.33 whereas p value was calculated much lesser than .05. Which means we have to accept our Alternate hypothesis as the finding is statistically significant. Our Alternate Hypothesis was that there is some relation between the two variables. Which is contrary to what we got as the coefficient i.e 0.33 which says there is no relation between the two.

Answer & Explanation

Dustin Durham

Dustin Durham

Beginner2022-06-21Added 31 answers

I think you've misunderstood what correlation coefficients mean. They range from −1 to 1, with 0 indicating no correlation (which is not the same as independent). A value of 0.326 may be closer to 0 than to 1 (arithmetically, not geometrically!), but it's not "too small to count". The p-value shows your result is significant.
Carolyn Beck

Carolyn Beck

Beginner2022-06-22Added 8 answers

A correlation coefficient of 0.33 does not indicate no correlation, rather just a weak one. For there to be no correlation, a correlation coefficient of much nearer 0 (such as 0.01) would be required.
Given R = 0.326, R 2 = 0.106. In other words, 10.6 % of the variance between restaurant's ratings can be explained by the prices of their food.
Assuming that your measurement of approximate price is reflective of what people consider, you should start thinking about what other factors could influence reviews.

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