See picture ### Population Data of Bacteria Colonies in a LabThe table below presents the population rank \( x \) and the estimated population \( y \) (in hundred thousands) for the five most populous bacteria colonies in a lab.| Rank (x) | Population (y) ||----------|----------------|| 1 | 8,053 || 2 | 2,940 || 3 | 2,000 || 4 | 1,480 || 5 | 1,224 |#### ObjectiveFind an equation of the power function that models the data and predict the population of the sixth most populous bacteria colony.---In order to find the power function that best fits the given data, one can use regression techniques. The power function can generally be expressed in the form:\[ y = a \cdot x^b \]Where \( a \) and \( b \) are constants to be determined. Once the constants are calculated, we can use the equation to predict the population of the sixth most populous bacteria colony (i.e., when \( x = 6 \)).

Name: See picture ### Population Data of Bacteria Colonies in a LabThe table
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: See picture ### Population Data of Bacteria Colonies in a LabThe table below presents the population rank \( x \) and the estimated population \( y \) (in hundred thousands) for the five most populous bacteria colonies in a lab.| Rank (x) | Populatio