Question

Let's begin by applying the Midpoint Formula:

1/2(x1+x2 ),1 /2 (y1+y2 )Looking at our x values first, we have:

a) (0,0)
b) (2,3)
c) (0,0)
d) (4,5)

Answer 1

The question involves finding midpoints and then calculating the slope and y-intercept for a line of best fit using the median-median line method in statistics.

Step-by-step explanation:

The student's question pertains to finding the midpoint between pairs of points on a coordinate plane, and understanding how to calculate the slope and y-intercept of a median-median line. The process begins by organizing the data into ordered pairs, and then applying the midpoint formula ½(x1+x2), ½(y1+y2) to each corresponding set of points. Once the midpoints are found, they can be used to calculate the slope and y-intercept of the median-median line. The median of the x and y values from each group is used to create new data points, and these median points are then used to find the line of best fit for the data set.

The slope of the line, represented by m, and the y-intercept, represented by b, are calculated using the formulas: m = (Y3 - Y1) / (x3 - x1) and b = y - mx. Substituting the appropriate median sums and slope into the y-intercept formula yields the final equation of the line of best fit: y = mx + b.