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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
- Poisoning by the pesticide DDT causes tremors and convulsions. In a study of DDT poisoning, researchers fed several rats a measured amount of DDT. They then made measurements on the rats’ nervous systems that might explain how DDT poisoning causes tremors. One important variable was the “absolutely refractory period,” the time required for a nerve to recover after a stimulus. This period varies normally. Measurements on four rats gave the following measurements (in milliseconds): 6, 1.7, 1.8, 1.9. Estimate the mean absolutely refractory period for all rats of this strain when subjected to the same treatment.A sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150A paper gives data on x = change in Body Mass Index (BMI, in kilograms/meter?) and y = change in a measure of depression for patients suffering from depression who participated in a pulmonary rehabilitation program. The table below contains a subset of the data given in the paper and are approximate values read from a scatterplot in the paper. BMI Change (kg/m²) 0.5 -0.5 0.1 0.7 0.8 1 1.5 1.2 1 0.4 0.4 Depression Score Change -1 4 4 5 8 13 14 17 18 12 14 The accompanying computer output is from Minitab. Fitted Line Plot Depression score change = 6.512 + 5.472 BMI change 5.26270 20- R-Sq R-Sq (adj) 19.88% 27.16% 15- 10- 5- 0- -0.5 0.0 0.5 1.0 1.5 BMI change R-są 5.26270 27.16% Coefficients Term Coef SE Coef T-Value P-Value VIF 6.512 5.472 Constant 2.26 2.88 0.0164 BMI change 2.83 1.93 0.0823 1.00 Regression Equation Depression score change = 6.512 + 5.472 BMI change (a) What percentage of observed variation in depression score change can be explained by the simple linear regression…
- Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L): 1.9 2.8 3.9 3.9 4.2 5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.severe storms indicate that e3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use off fxed cement piers. Suppose that a reading of 31 waves showed an average wave height of x= 16.7 feet. Previous studies of Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of 164 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land C (a) What is the level of significance? State the null and alternate hypotheses. Ho: H- 16.4 ft; H:>'16.4 ft Ho: H 16.4 ft; H1: = 16.4 ft Ho: H- 16.4 ft; H: H+ 16.4 ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard…A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner's time at the end of each lap, obtaining the data in the following table. Time (s) Distance (m) 42 200 90 400 139 600 202 800 266 1000 336 1200 413 1400 492 1600 (a) What was the man's average speed (rate) between 90 s and 202 s? (Round your answer to two decimal places.) m/s
- A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runner's time at the end of each lap, obtaining the data in the following table. Time (s) Distance (m) 30 200 63 400 103 600 155 800 211 1000 269 1200 343 1400 419 1600 (a) What was the man's average speed (rate) between 63 s and 155 s? (Round your answer to two decimal places.) ] m/s (b) What was the man's average speed between 269 s and 419 s? (Round your answer to two decimal places.) m/s (c) Calculate the man's speed for each lap. Is he slowing down, speeding up, or neither? O slowing down O speeding up O neitherThe following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8678 0.4148 2.06 0.84 Weight 0.40376 0.02978 13.52 0.000 S = 0.517508 R-Sq = 94.6% (a) Write out the least-squares equation. = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient r? (Use 3 decimal places.) 4.A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of four participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (X) Time it Took to sleep (Y) 5 10 10 18 20 30 40 25 M = 18.75 S = 15.48 M = 20.75 S = 8.69 r = .68 a. Create a scatter plot of the data & Calculate r and r2b. Report results in APA style & What do results mean?