# An analysis of laboratory data collected with the goalof modeling the weight (in grams) of a bacterial cultureafter several hours of growth produced the

An analysis of laboratory data collected with the goal of modeling the weight (in grams) of a bacterial culture after several hours of growth produced the least squares regression line $\mathrm{log}\left(weight\right)=0.25+0.61$hours. Estimate the weight of the culture after 3 hours.

A) 0.32 g

B) 2.08 g

C) 8.0 g

D) 67.9 g

E) 120.2 g

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Aniqa O'Neill

Least-squares criterion figures out the line that has the smallest sum of squared errors and is the one that fits the data best. The line that best fits a set of data points, according to the least-squares criterion, is known as the regression line. It is essential for making predictions. The regression equation is $y=a+bx$ where,
$a=intercept$
$b=slope$

The given equation is $weight=0.25+0.61hrs$

The value of x is 3. $weight=0.25+0.61hrs$
$=0.25+0.61\cdot 3$
$=0.25+1.83$
$-2.08$

Therefore the b part is correct.