0.5 Proportional Harvest Another possible approach to harvesting the cod would be to harvest an amount proportional to the existing fish population. This is called the proportional harvesting model and includes a constant a that is between 0 and 1 where 1 represents harvesting 100% of the fish. Consider our example r = 1 and K = 1600. dP P =rP 1 - dt K B³) - a -αP (a) Use a slope field plotter and experiment with varying a between 0 and 1. Can you find any value a <1 that causes the fish population to become extinct? If so, what is that value? Upload one graph for a particular value of a. (b) Would you recommend that Wildlife Management Agencies use the Constant Harvest Model or the Proportional Harvest Model if their goal is a long term sustainable fishery? Explain your reasoning.

Determine the best (according to sum-of-squares-measure) curve y = Aebx, through the dataabove.Transformed equationln(y) = ln(A) + bxorY = a + bx

A red maple sapling was 3 feet tall when planted in 2010. Six years later, the tree was 24 feet tall. The growth rate of the tree is constant over time. Find a linear model for the height H (in ft) of the red maple t years after 2010. Let t = 0 represent 2010. H= ? What is the expected height (in ft) of the red maple in 2020? ? ft

An estimated regression equation is In (ŷ) =-1+ 2x. Then we can forecast: O a = 2.72 if x = 1. %3D O b. x = 1 if ŷ = 2.72. Oc ŷ = 0.05 if x = 1. %3D %3D Od x = 1 if ŷ = 1. eŷ = 1 if x = 1.

A linear model has the equation y=10.4−0.25x. What is the residual for a point (6,9.2)?   The residual is__.

Consider the multiple linear regression model, Copra Yield=25+3.2*number of nuts1 -1.7*nut weight. Which of the following is (are) TRUE? Copra yield increases by 3.2 units when number of nuts is increased by 1 unit holding nut weight constant. Copra yield decreases by 1.7 units when nut weight is increased by 1 unit holding number of nuts constant. A. I only  B.  II only  C. Both I and II  D.  Neither I nor II

Fitts' Law is a robust and highly adopted model of human movement. According to Fitts' Law, the time T required to move and select a target of width W that lies at a distance (or amplitude) A is T = a + b log2(2A/W) %D where a and b are constants estimated using simple linear regression. The quantity log,(2A/W) is termed the Index of Difficulty (ID) and represents the independent variable (measured in "bits") in the model. Research reported in the Special Interest Group on Computer-Human Interaction Bulletin (July 1993) used Fitts' Law to model the time (in milliseconds) required to perform a certain task on a computer. Based on data collected for n = 160 trials (using different values of A and W), the following least squares prediction equation was obtained: Î = 175.4 + 133.2(ID) %3D a. Interpret the estimates, 175.4 and 133.2. b. The coefficient of correlation for the analysis is r = .951. Interpret this value. c. Conduct a test to determine whether the model using Fitts' Law is…

Consider the linear model f(x) = 5.2x - 3. If needed, round your answer to the nearest tenth.  1. Given a residual of -0.2 at x = 1, find the observed value. Answer- 2. Given a residual of 2.1 at x = 4, find the observed value. Answer-

Town A B C D E F GPopulation (lakh) (X ) 11 14 14 17 17 21 25No. of TV sets demanded ('000) (Y ) 15 27 27 30 34 38 46Fit a linear regression of Y on X and estimate the demand for TV sets for a city with apopulation of (a) 20 lakh and (b) 32 lakh.

Is there a relation between the age difference between husband/wives and the percent of a country that is literate? Researchers found the least-squares regression between age difference (husband age minus wife age), y, and literacy rate (percent of the population that is literate), x, is ŷ= -0.0569x + 8.5. The model applied for 23 ≤ x ≤ 100. Complete parts (a) through (e) below. (a) Interpret the slope. Select the correct choice below and fill in the answer box to complete your choice. For every unit increase in falls by units, on average. (Type an integer or decimal. Do not round.) (b) Does it make sense to interpret the y-intercept? Explain. Choose the correct answer below. ▼ the O A. Yes-it makes sense to interpret the y-intercept because an x-value of 0 is within the realm of possibilities. OB. No-it does not make sense to interpret the y-intercept because a y-value of 0 is impossible. OC. No-it does not make sense to interpret the y-intercept because an x-value of 0 is outside the…