Final answer:
Without specific points, we cannot provide a definitive equation for the linear model of a scatter plot. Calculate the slope and y-intercept using two points on the graph to obtain the correct linear equation, which is in the form of y = mx + b.
Step-by-step explanation:
To determine which option (A, B, C, or D) is the correct equation for the linear model of a scatter plot when choosing the two points closest to the line, you must calculate the slope (m) and y-intercept (b) of the line. The general form of a linear equation is y = mx + b. Without specific points to calculate from, we cannot provide a definitive answer to which option is correct. However, if you have two points and their coordinates, you can calculate the slope (rise over run) and determine where the line crosses the y-axis to find 'b'. Once you have the slope and y-intercept, you can write the linear equation of the line that fits the data.
Moreover, based on the content provided, all the examples given such as y = −3204 + 1.662x, y = x + 4, and y = 100(x) + 2,000 all follow the linear equations format of y = b + mx. Therefore, any of the options A, B, C, or D could potentially be the correct linear equation if the calculated slope is 1 or -1 and the y-intercept is either 8 or -8.