Answer: For the given equation of the line of best fit, the values that complete the table are as follows: a=14.8, b=0.1, c=9, d=1.1.
Step-by-step explanation: An equation for a line of best fit follows the same guidelines as a linear function where ‘y’ represents the total (value), ‘x’ represents time (years), -2.9 is the rate, and 17.7 is the starting value. The table indicates that for any year, there is a given value, but what we are solving for is the predicted value. The residual is the different between the given and predicted values. So, for ‘a’, we need to solve for the ‘y’ in our equation by replacing ‘x’ with ‘1’, multiplying by -2.9 and adding 17.7. This gives us 14.8. For ‘b’, we simply need to subtract the given and predicted values to get a residual of 0.1. For ‘c’, we again solve for ‘y’ by replacing ‘x’ with ‘3’ in our given equation to get 9. And, for ‘d’ we subtract the given value of 5 and the predicted value of 6.1 to get 1.1.