Guppies are small, brightly colored tropical fish often seen in freshwater fish aquariums. A study was conducted in 147 male guppies to examine the relationship between coloration and heterozygosity; heterozygosity refers to the condition of having different alleles at a given genetic locus. The guppies were randomly sampled from a river in the wild. In an initial stage of the study, researchers examined whether length and height are linearly associated. The mean length is \(1261.21 \mathrm{~cm}\), with standard deviation \(95.62 \mathrm{~cm}\). The mean height is \(201.75 \mathrm{~cm}\), with standard deviation 20.68. The correlation between length and height is 0.85.

(a) From a visual inspection, does it seem like the line is a reasonable fit for the data?

(b) Write the equation of the regression line for predicting length from height.

(c) Estimate the predicted mean length of a guppy with height \(180 \mathrm{~cm}\).

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Length (cm) 1600 1500 1400 1300 1200 1100 160 180 200 220 240 260 280 Height (cm)