Bot
Question
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? Find a line of best fit for this data and use it to make your prediction.
(1 point)
Responses
276.1 lb
276.1 lb
289.3 lb
289.3 lb
298.4 lb
298.4 lb
307.7 lb
The correct response is: 289.3 lb
Explain please
To find the line of best fit and make a prediction, you can use linear regression. Linear regression helps you determine the relationship between two variables, in this case, height and weight. By fitting a straight line to the data points, you can make predictions for values that are not explicitly provided in the data.
In this case, we have the heights of the basketball players and their corresponding weights. We can plot this data on a scatter plot, with height on the x-axis and weight on the y-axis. By using linear regression, we can find the equation of the line that best represents the relationship between these variables.
Using the given data and performing linear regression, the line of best fit equation is:
Weight = 5.2 * Height - 140.6
To predict the weight for a height of 84 inches, you can substitute the height value into the equation:
Weight = 5.2 * 84 - 140.6
Simplifying the equation:
Weight = 437.8 - 140.6 = 297.2 lb
So, the expected weight for a basketball player with a height of 84 inches is approximately 297.2 pounds.