Final answer:
The correlation coefficient measures the strength of the linear association between two variables. You can find the correlation coefficient using the formula r = (nΣxy - ΣxΣy) / √[(nΣx² - (Σx)²)(nΣy² - (Σy)²)]. To find the correlation that results in a coefficient of determination of at least 0.50, you can use the formula r = √0.50.
Step-by-step explanation:
The correlation coefficient measures the strength of the linear association between two variables. To find the correlation coefficient, you need to know the number of data points, the sum of the x-coordinates, the sum of the y-coordinates, the sum of the x-coordinates squared, and the sum of the y-coordinates squared. You can use the formula for the correlation coefficient:
r = (nΣxy - ΣxΣy) / √[(nΣx² - (Σx)²)(nΣy² - (Σy)²)]
In the given question, you need to find the correlation between two variables that will result in a coefficient of determination of at least 0.50. The coefficient of determination is the square of the correlation coefficient. So, you can find the correlation using the formula: r = √0.50