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

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

This weekend, Denise and her father are building a boat from a model kit. The kit uses a scale of 1 inch on the model to represent 20 inches on the actual boat.Complete the table.Inches on actual boat 20 40 Inches on model 1 4 5Graph the data from the table.10203040506070809010012345678910xyInches on actual boatInches on modelSubmitQuestionsanswered19Timeelapsed00 23 23HR MIN SECSmartScoreout of 10063Need a break?

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

A pediatrician records the age x (in yr) and average height y (in inches) for girls between the ages of 2 and 10.a. Use the points (2, 37) and (6, 50) to write a linear model for these data.b. Use the model to forecast the average height of 11-yr-old girls.Select one:a. a. y = 3.25x + 30.5; b. 66.25 in.b. a. y = 3.25x + 30.5; b. 67.25 in.c. a. y = 3x + 29.5; b. 63.25 in.d. a. y = 3x + 29.5; b. 62.5 in.

Since 1990, the number of arrivals of migratory birds to a wetland has been monitored. Based on the data collected over the years until 2022, a model was created to predict the size of the colony of migratory birds that would come to the wetland each year. The model was found to beP = 3250(0.98)t Where P is the size of the colony (number of birds), and t is the time (t = 0 for year 1990). What do we know from this model about the number of arrivals of migratory birds to the wetland?Select all the correct answers.Question 9Answera.The size of the colony of the migratory birds arriving has decreased exponentially with a total rate of decay of 2% between 1990 to 2022 inclusive.b.The model estimates that there were 3250 birds arriving in 1990.c.The size of the colony of migratory birds arriving has been declining exponentially over the years at a constant rate of 2% each year.d.The size of the colony in 2021 is 98% that of 2020.