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
asked 2020-11-26

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

Answers (1)

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.

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