Final answer:
The given equation does not match the calculated line of best fit for the data set, which should have a slope of approximately 0.09 and a y-intercept of approximately 35.25, leading to the equation y = 0.09x + 35.25.
Step-by-step explanation:
The equation y = -5/14 * x + 107 is not the equation of a line of best fit for the given data set because it doesn't reflect the data's calculated slope and y-intercept based on provided information. To determine the line of best fit, we use the slope (m) and y-intercept (b), which are derived from the data set. According to the details provided, the slope of the line of best fit is approximately 0.09, and the y-intercept, calculated using the sum of the median x and y values and the formula b = y - m*x, is approximately 35.25. This leads to the line y = 0.09x + 35.25 being the equation of the best-fit line for this data.