The researchers cited in the previous problem also examined the weight/salary relationship for men and found a positive relationship, suggesting that we have very different standards for men than for women (Judge & Cable. 2010). The following arc data similar to those obtained for working men. Again, weight relative to height is coded in five categories from 1 = thinnest to 5 = heaviest. Income is recorded as thousands earned annually.
a. Calculate the Pearson correlation for these data.
b. Is the correlation statistically significant? Use a two-tailed test with α = .05.
|Weight (X)||Income (Y)|
The given data are shown below,
Formula to calculate the Pearson correlation is,
Where co variability of the variable x and y is , is the variability of the x variable and is the variability of the y variable.
Mean of the variable is,
Thus the mean of the variable is 3.
Mean of the variable is,
Thus the mean of the variable y is 88
For calculating and the table is shown below,
To explain: The correlation is statistically significant or insignificant using two tail test at 5% level of significance.
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