the table below shows the height (in inches) and weight (in pounds) of eight basketball players. Height 67 69 70 72 74 74 78 79 Weight 183 201 206 220 226 240 253 255 About how many pounds would you expect a basketball player to weigh if his height is 84 inches?
276.1
289.3
298.4
307.7
To estimate the weight of a basketball player with a height of 84 inches, we can create a line of best fit using the given data points.
First, we find the equation of the line of best fit. We can use the least squares regression method to find the equation:
Using a calculator or software, we find that the equation of the line of best fit is:
Weight = 4.2916 * Height - 45.3125
Next, we substitute the given height of 84 inches into the equation:
Weight = 4.2916 * 84 - 45.3125
Weight ≈ 360.3898
Rounding to the nearest pound, we would expect the basketball player to weigh about 360 pounds if his height is 84 inches.
Therefore, the closest option is 307.7 pounds.