Leptin is a hormone that has a central role in fat metabolism. One study published in the New England Journal of Medicine measured serum leptin concentrations versus the percentage of body fat for 275 individuals. The concentration of leptin c (in ng/Lm) is approximated by c=219x2 -26.7x+1.64, where x is percentage of body fat. (a) Determine the concentration of leptin in an individual with 6% body fat (x=0.06). Round to 1 decimal place. (b) If an individual has 3 ng/Lm of leptin, determine the percentage of body fat. Round to the nearest whole percent

Leptin is a hormone that has a central role in fat metabolism. One study published in the New England Journal of Medicine measured serum leptin concentrations versus the percentage of body fat for 275 individuals. The concentration of leptin c (in ng/Lm) is approximated by c=219x2 -26.7x+1.64, where x is percentage of body fat. (a) Determine the concentration of leptin in an individual with 6% body fat (x=0.06). Round to 1 decimal place. (b) If an individual has 3 ng/Lm of leptin, determine the percentage of body fat. Round to the nearest whole percent

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

See similar textbooks

Similar questions

Find the mean hourly cost when the cell phone described above is used for 240 minutes.
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?
Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
A regression of the LDL cholesterol level on the Body Mass Index (BMI) is shown below:LDL Cholesterol Level = 133.19 + 0.4151*BMI. Which of the following is FALSE? It is estimated that for every additional unit of BMI, the Level of LDL Cholesterol increases by about 0.4. It is estimated that for the person with zero BMI, the LDL Cholesterol Level is about 133. If one person has BMI of 20, then it is estimated that the LDL Cholesterol Level is about 141. If the LDL Cholesterol Level of one person is 145, then this equation indicates that this person’s BMI is about 30. One person’s LDL Cholesterol Level is 143 and BMI is 25. Its residual is about 5.
Sulfur compounds cause "off‑odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given. 30 30 42 35 22 33 31 29 19 23 SOLVE: We have assumed that we have a random sample and that the population from which we are sampling is Normal. Find ?¯ . (Enter your answer rounded to one decimal place.) ?¯= ?g/? Find the standard deviation, ??√, of the sampling distribution of ?¯. (Enter your answer rounded to four decimal places.) ??√=
Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 miligrams per deciliter (mg/dl) one hour after having a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution with μμ = 120 mg/dl and σσ = 10 mg/dl. (a) If a single glucose measurement is made, what is the probability that Sheila is diagnosed as having gestational diabetes?(b) If measurements are made on 5 separate days and the mean result is compared with the criterion 140 mg/dl, what is the probability that Sheila is diagnosed as having gestational diabetes?
An owner of a health spa studied the relationship between “temperature in degrees Fahrenheit at 11 A.M.” (X) and “number of customers using the facilities at that time” (Y) during the summer. The data are shown below: X Y 65 18 67 18 75 22 81 19 85 27 87 24 MX=76.67 SDX=8.44 ZX ZY -1.38 -1.15 -0.20 +0.51 +0.99 +1.22 Which of the following statistics has the highest mathematical value? Standard deviation of Y Variance of Y Median of Y Mean of Y
Sulfur compounds cause “off-odors” in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25 micrograms per liter of wine (μg/l). The untrained noses of consumers may be less sensitive, however. Here are the DMS odor thresholds for 10 untrained students: 31 31 43 36 23 34 32 30 20 24 Give a 95% confidence interval for the mean DMS odor threshold among all students. Is there evidence that the mean threshold for untrained tasters is greater than 25 μg/l? State the hypotheses. Is there evidence that the mean threshold for untrained tasters is greater than 25 μg/l? What is the test statistic?
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. 203 x days y km/100 72 76 32 14.7 94 11.7 19.5 5.3 35.6 (a) Verify that Ex = 477, Ey = 86.8, Ex? = 62,029, Ey2 = 2028.68, Exy = 11036.6, and r= 0.93853. Ex Ey Ex? Ey2| Exy (b) Use a 1% level of significance to test the claim p> 0. (Use 2 decimal places.) critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. O…
Sulfur compounds cause "off‑odors" in wine, so winemakers want to know the odor threshold, the lowest concentration of a compound that the human nose can detect. The odor threshold for dimethyl sulfide (DMS) in trained wine tasters is about 25 micrograms per liter of wine (?g/L ). The untrained noses of consumers may be less sensitive, however. The DMS odor thresholds for 10 untrained students are given. 30 30 42 35 22 33 31 29 19 23 (a) Assume that the standard deviation of the odor threshold for untrained noses is known to be ?=7?g/Lσ To access the complete data set, click the link for your preferred software format: Do the three simple conditions hold in this case? Make a stemplot and use it to check the shape of the distribution. (b) STATE: What is the average (mean) DMS odor threshold, ?μ , for all untrained people? PLAN: Using the four‑step process, give a 95%95% confidence interval for the mean DMS odor threshold among all students. SOLVE: We have assumed that we…