To answer this question let us first understand how to interpret graphs and understand what the coefficient of determination is.
Coefficient of Determination
Often denoted as R-squared (R^2), is a statistical measure that represents the proportion of the variance in the dependent variable that is predictable from the independent variable(s) in a regression model. In other words, it measures how well the independent variable(s) explain the variability of the dependent variable.
Calculating it is somewhat difficult but some programs do this for us. We only need to be able to recognize the term R^2 and remember that it means the coefficient of determination.
Looking at the graph we can see that the trend has a R^2 value of 0.7738.
Rounding to the tenth place means we only leave 1 digit after the decimal. When we round, we look at the digit to the right and if it's 5 or above then we round the desired digit up. If the digit to the right is lower than 5 then we round the desired digit down.
0.7738 - the digit to the right of the tenth place is 7, meaning that we round the tenth place up 1, to 0.8.
Answer:
The coefficient of determination rounded to the tenth place is option C. 0.8.