A famous data set gives measurements of 143 fish of 6 species caught from the same lake (Längelmävesi) in Finland. The data can be used to model the relationship between weight and length (from the nose to the end of the tail). Weight is measured in grams and length is measured in cm. As might be expected, the relationship between weight and length is nonlinear and so logarithms (to base 10) were taken of both variables prior to analysis.Of interest was a comparison between two of the species, Saerki and Parkki. A multiple linear regression analysis of the log-transformed data in R gave the following (edited) output:Coefficients: Estimate Sd. Error (Intercept) -2.1424 0.1525log10(Length3) 3.0794 0.1092SpeciesParkki 0.1148 0.0169Based on this model, the estimated weight for a 40 cm Parkki is   g

The number of fish in a lake can be modeled by the exponential regression equation y = 14.08 • 2.08x, where x represents the year.Which is the best prediction for the number of fish in year 6? Round your answer to the nearest whole number.A.81B.1758C.176D.1140

Vaughn went fishing and caught an Atlantic Ocean Rockfish that was 21 cm long. He found the following data to estimate the weight of the fish.Use the graph and trendline, 𝑦=0.9382𝑥2−17.167𝑥+84.652 to estimate the weight of Vaughn's fish in grams.(Round your answer to the nearest whole gram)

Recreational fishing is permitted at a particular lake. However, there are restrictions on the size of any fish caught from the lake. Suppose that the weight of any given fish caught from the lake is uniformly distributed between 7 and 33 kilograms. Only fish that are among the heaviest 21% are permitted to be kept and all other fish must be returned to the lake.What should the cut-off weight be for fish caught from the lake (below which they must be returned to the lake)? Do not include any units in your answer.

Data used in this question for the Snapper (Pagrus auratus), a fish found in Australian waters is takenfrom Fisheries Research and Development Corporation and also the Australian National SportfishingAssociation, with some modifications.In this question, perform all calculations to two decimal places of accuracy.A von Bertalanffy growth model predicting the average length (cm) of an individual Snapper at age tyears is given byL(t) = 84(1 − 0.90e−0.05t ).(a) What length does the length model predict for a 3 year old fish?(b) Solve the equation L(t) = 25 to find the age at which the model predicts a length of 25cm.Show your working.(c) The weight W (g) of Snapper is related to its length L (cm) by the formulaW = aL3 , a is a constant.Use the fact that the average weight of an individual of length 15cm is 300g to estimate theparameter a.(d) What weight does this model predict for an individual of length 20cm?(e) Use some basic algebra and the index rules to rearrange the formula W = aL3 so that the lengthL is expressed as a function of weight W.(f) Use your answer to (e) to predict the length in metres of a fish weighing 1000g.(g) Use the above answers to give a model for the weight of Snapper in grams at age t years

A group of scientists are comparing the adult weight of meerkats bred in captivity to those living wild in the Kalahari Desert.  What type of numerical data are the scientists recording?