Question

What is the equation of the line of best fit for these data? Round the slope and y-intercept of the line to three decimal places.

A) y = 0.123x + 3.456
B) y = 2.345x - 1.234
C) y = 1.234x + 2.345
D) y = 3.456x - 0.123

Answer 1

The line of best fit, given the slope of approximately 0.09 and the calculated y-intercept of 35.25, is y = 0.09x + 35.25. None of the provided options (A, B, C, D) match this equation, suggesting a possible mistake in the question or options.

Step-by-step explanation:

The correct equation of the line of best fit is determined by using the provided slope (m) and y-intercept (b). The slope is given as approximately 0.09, and we can calculate the y-intercept using the formula b = sum of median y values - slope x sum of median x values. With the given sums of 1264 for median x values and 219.5 for median y values, substituting into the formula gives b = 219.5 - 0.09(1264) = 35.25. Therefore, the line of best fit is y = 0.09x + 35.25, which matches with none of the provided options (A, B, C, D). This implies that there may be a mistake in the question or the provided options.