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

Modeling data distributions
ANSWERED 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 $$\log(weight) = 0.25 + 0.61$$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 2020-11-27

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 $$\displaystyle{y}={a}+{b}{x}$$ where,
$$a=intercept$$
$$\displaystyle{b}={s}{l}{o}{p}{e}$$
$$x=independent\ variable$$
$$y=independent\ variable$$

The given equation is $$\displaystyle{w}{e}{i}{g}{h}{t}={0.25}+{0.61}{h}{r}{s}$$

The value of x is 3. $$\displaystyle{w}{e}{i}{g}{h}{t}={0.25}+{0.61}{h}{r}{s}$$
$$\displaystyle={0.25}+{0.61}\cdot{3}$$
$$\displaystyle={0.25}+{1.83}$$
$$\displaystyle-{2.08}$$

Therefore the b part is correct.