Final answer:
Using the linear scaling method, estimating the height of a building can be achieved by multiplying the number of stories by the average height of a story, which is roughly equivalent to 4 meters. The slope of the least-squares line helps to predict the increase in height per added story.
Step-by-step explanation:
Estimating the height of a building based on the number of stories and the average height of a human is a mathematical concept that can be approached using linear scaling. If one story is roughly the same as the height of two adults, which is about 4 meters in total (each adult being about 2 meters tall), we can use this to estimate the total height of different buildings.
For example, for a building that has 32 stories: 32 stories × 4 meters/story = 128 meters tall. Similarly, for a building that has 94 stories: 94 stories × 4 meters/story = 376 meters tall.
To determine if there's a linear relationship between the number of stories in tall buildings and the height of the buildings, one would analyze data points to see if they align in a straight line pattern. Regarding the least-squares line, this statistical method helps to find the best-fitting line through a set of points, effectively estimating the increase in height per added story (slope) and predicting the total height for given number of stories.