Final answer:
The linear correlation coefficient (r) is -0.985, calculated by taking the square root of the coefficient of determination (r²), which is 0.97, and considering the negative slope of the regression line.
Step-by-step explanation:
The coefficient of determination, commonly represented as r², indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. In this case, an r² of 0.97 suggests a strong linear relationship. To find the linear correlation coefficient (r), we take the square root of the coefficient of determination. Since the slope of the regression line is negative, this indicates a negative relationship, so we are looking for a negative square root. The square root of 0.97 is approximately 0.985, so the linear correlation coefficient of the data is -0.985.