Understanding the Concepts and SkillsDetermine the following for a q -curve with parameters k = 8 and v = 20.a. The q -value having area 0.01 to its right b. q0.05
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Understanding the Concepts and Skills
Determine the following for a q -curve with parameters k = 8 and v = 20.
a. The q -value having area 0.01 to its right b. q0.05
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- Special Rounding Instructions For this exercise set, round all regression parameters to three decimal places but round all other answers to two decimal places unless otherwise indicated. Grazing Rabbits The amount A of vegetation measured in pounds eaten in a day by a grazing animal is a function of the amount V of food available measured in pounds per acre. Even if vegetation is abundant, there is a limit, called the satiation level, to the amount the animal will eat. The following table shows, for rabbits, the difference D between the satiation level and the amount A of food eaten for a variety of values of V. V=vegetaionlevel D=satiationlevel-A 27 0.16 36 0.12 89 0.07 134 0.05 245 0.01 a.Draw a plot of D versus V. b.Find an exponential function that approximates D. c.The satiation level of a rabbit is 0.18 pound per day. Use this, together with your work in part b, to find a formula for A. d.Find the vegetation level V for which the amount of food eaten by the rabbit will be 90 of its satiation level of 0.18 pound per day.Special Rounding Instructions For this exercise set, round all regression parameters to three decimal places, but round all other answers to two decimal places unless otherwise indicated. Choose the Model A car travels down a straight highway at a constant speed. Which is a better model for the distance traveled as a function of the time: linear or exponential?Special Rounding Instructions. For this exercise set, round all regression parameters to three decimal places, but round all other answers to two decimal places unless otherwise indicated. Growth in Length of HaddockA study by Raitt showed that the maximum length that a haddock could be expected to grow is about 53centimeters.Let D=D(t) denote the difference between 53centimeters and the length at age t years. The table below gives experimentally collected values for D. Age t Difference D 2 28.2 5 16.1 7 9.5 13 3.3 19 1.0 a.Find an exponential model of D as a function of t. b.Let L=L(t) denote the length in centimeters of a haddock at age t years. Find the model for L as a function of t. c.Plot the graph of the experimentally gathered data for the length L at ages 2,5,7,13, and 19years along with the graph of the model you made for L. Does this graph show that the 5year old haddock is a bit shorter or a bit longer than would be expected? d.A fisherman has caught a haddock that measures 41centimeters. What is the approximate age of the haddock?
- Find the critical value given the information below. Illustrate the curve. One-tailed test : α=0.05 , n=35A) What is t critical? State what you see on the t-table and use that value for further calculations. B) What is t value?John finds a radioactive element leftover from an experiment. His data indicates he started with about 400 grams. After 2 hours he has about 366 grams, and after 5 hours he has about 322 grams. a. Based on the data above create and use the information on curve fitting to find approximate hald life. b. The radiation will no longer be dangerous when it is less than 100 grams. About how long will that take. (Show your work and explain in sentences how you arrived at the answers)
- Consider the situation described below and compute the p-value. Please note that you will likely need to use some form of technology to find your answer. The direction of the extreme is one-sided to the left, n=45, test statistic: t= -1.6. Report your p-value accurate to 4 decimal places.3 decimal places for all answers thank you Statistics of rigid bodiesSpeedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 0 12 24 36 48 60 v (ft/s) 30 28 25 21 24 28 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft(b) Give another estimate using the velocities at the end of the time periods. ft(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.(b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t. (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t.
- Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,850.5782 1 1,850.5782 39.69 Residual 1,305.4934 28 46.6248 Total 3,156.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 12.6882 3.1699 2.82 Distance–X 5.121 8.504 6.3 Click here for the Excel Data File a-1. Write out the regression equation. (Round your answers to 3 decimal places.) a-2. Is there a direct or indirect relationship between the distance from the fire station and…Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,850.5782 1 1,850.5782 39.69 Residual 1,305.4934 28 46.6248 Total 3,156.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 12.6882 3.1699 2.82 Distance–X 5.121 8.504 6.3 e-1. State the decision rule for 0.01 significance level: H0 : ρ = 0; H1 : ρ ≠ 0. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) e-2. Compute the value of the test…Waterbury Insurance Company wants to study the relationship between the amount of fire damage and the distance between the burning house and the nearest fire station. This information will be used in setting rates for insurance coverage. For a sample of 30 claims for the last year, the director of the actuarial department determined the distance from the fire station (x) and the amount of fire damage, in thousands of dollars (y). The MegaStat output is reported below. ANOVA table Source SS df MS F Regression 1,850.5782 1 1,850.5782 39.69 Residual 1,305.4934 28 46.6248 Total 3,156.0716 29 Regression output Variables Coefficients Std. Error t(df=28) Intercept 12.6882 3.1699 2.82 Distance–X 5.121 8.504 6.3 Click here for the Excel Data File d-1. Determine the correlation coefficient. (Round your answer to 3 decimal places.) d-2. Choose the right option. d-3. How did you determine the sign of the correlation…
