FOR THIS DATA SET: We are rejecting the null hypothesis: H O : p = 0 .... The p-
ID: 2931309 • Letter: F
Question
FOR THIS DATA SET: We are rejecting the null hypothesis: HO : p= 0 .... The p-value of the age coefficient is 0.0113, and because p-value is less than 0.05 significance, we reject the null hypothesis.
But my question is: What type of correlation (if any) do these data sets have? and in words please explain your interpretation of this data. In other words, based on the results, what do you think this data means? What are the potential implications of this data for the stakeholders? What do these results mean for future research into the topic area?
The question was investigated of whether (a) age at which infants start to crawl is related to (b) seasonal temperature six months after birth. "Six months after birth" was targeted as the period in which babies typically first try crawling. For a large sample of babies, (a) time at which crawling actually began and (b) average monthly temperature six months after the birth month were collected. The data are shown below (also found in the Month Average Age Starting to Craw Average Temperature 6 Months After Birth Month (in units Fahrenheit) (weeks) Januar Februa March April Ma June Jul August September October November December 29.84 30.52 29.70 31.84 28.58 31.44 33.64 32.82 33.83 33.35 33.38 32.32 73 72 63 52 39 30 37 48 57Explanation / Answer
The test mentioned in the question is the test for product moment correlation coefficient. Which in turn, is implied by the presence of linearity in the data.
Here, rejecting the null hypothesis means that, there is significant correlation in the dataset. The correlation present in the data is linear in nature.
Based on the data, we can see there is very small amount of positive correlation exists, (value being .0113).
For the stakeholders, this means, although both the variables are related significantly, there is very low amount of correlation exists, thus it is better not to model these two holding one dependent on the other.
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