Final answer:
The value of b, representing the y-intercept in the trend line's equation, is approximately 35.25 when given the slope m is about 0.09 and the sums of median x and y values are 1264 and 219.5, respectively.
Step-by-step explanation:
To determine the value of b, which is the y-intercept in the equation of a trend line, we will use the already found slope value and the sums of median x and y values. Given the slope (m) is approximately 0.09, we can apply it to the formula for the y-intercept (b) as follows:
b = (sum of median y values) - (slope × sum of median x values) / 3
Substituting the provided values into the formula gives us:
b = 219.5 - 0.09(1264)
This simplifies to b ≈ 35.25. Therefore, the equation of the trend line can be written as y = 0.09x + 35.25.