Using the Slope of a Line to Estimate Fish Weight.

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Presentation transcript:

Using the Slope of a Line to Estimate Fish Weight

Fish Grow All of Their Lives They first start out as an embryo in an egg. Then they hatch out as a larvae. Then they develop into a juvenile. Then they become an adult.

Fish Growth As fish grow, their weight increases proportionally to their length.

Determining the Length-Weight Relationship First, you need to measure the length and weight for several fish. Length

Graphing the Data The next step is to graph the data and draw a line of best fit.

The Line Equation Y = mX + b The ‘slope’ of the line (m) is the relationship between length and weight. Increase in Weight Increase in Length Slope

Estimating Weight From Length Once you know the length-weight relationship for a species, you can estimate the weight based only on the length! Y=mX + b

Estimating Weight From a Line Equation Our Line Equation is: Weight = (Length) How much would you expect a 12 cm fish to weigh? Weight = (12) Weight = Weight =

Comparing Fish Species Some fish are long and skinny and some are short and fat.

Comparing Fish Species The length-weight relationship for long skinny fish is different than for short fat fish. Long and Skinny Fish Short and Fat Fish