Video an giography is used to measure blood flow and determine the status of circulatory function. In order to quantify the video an giograms, blood vessel diameter and blood velocity are needed such that total blood flow is determined. Below is the densitometric profile taken from a videoangiogram of a blood vessel. One way to determine consistently where the edge of the blood vessel is from the angiogram is to determine where the first derivative of the profile is an extreme value. Using the data provided, find the boundaries of the blood vessel and estimate the blood vessel diameter. Use both
Want to see the full answer?
Check out a sample textbook solutionChapter 24 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
- Identify the variable as either qualitative or quantitative.(a) months in the year (b) distance of a successful field goal during a football seasonarrow_forwardPlease see the attached and help me determine which answers are correct?arrow_forwardIdentify the dependent variable(s) and the independent variable(s). What does the value of R-sq indicate? Comment on the value of R-sq. Is δ significant? State what this means in terms of attitude and practices.arrow_forward
- Volume and surface area of a tumor The diameter of a tumor was measured to be 19 mm. If the diameter increases by 1 mm, use linear approximations to estimate the rela- tive changes in the volume (V =r³) and surface area (S = 4™r²).arrow_forwardOcean 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. x days 75 79 35 91 203 y km/100 14.2 19.1 5.8 11.2 35.4 (a) Verify that Σx = 483, Σy = 85.7, Σx2 = 62,581, Σy2 = 1978.69, Σxy = 10982.3, and r ≈ 0.94895. Σx Σy Σx2 Σy2 Σxy r (b) Use a 1% level of significance to test the claim ρ > 0. (Use 2 decimal places.) t critical t (c) Verify that Se ≈ 4.1118, a ≈ 0.7378, and b ≈ 0.1698. Se a barrow_forwardOcean 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. x days 75 79 35 91 203 y km/100 14.2 19.1 5.8 11.2 35.4 (d) Find the predicted distance (km/100) when a drift bottle has been floating for 80 days. (Use 2 decimal places.) km/100(e) Find a 90% confidence interval for your prediction of part (d). (Use 1 decimal place.) lower limit km/100 upper limit km/100 (f) Use a 1% level of significance to test the claim that β > 0. (Use 2 decimal places.) t critical t (g) Find a 95% confidence interval for β and interpret…arrow_forward
- The peak flow rate of a person is the fastest rate at which the person can expel air after taking a deep breath.Peak flow rate is measured in units of liters per minute and gives an indication of the person’s respiratoryhealth. Researchers measured peak flow rate and height for each of a sample of 17 men. The results are givenin the table. (image included) a. Create a scatterplot displaying the relationship between peak flow rate and height.b. Calculate the sample correlation coefficient for peak flow rate and height.c. If we were to predict the peak flow rate using height with a least-squares regression model, whatis the slope estimate ˆb?d. Continuing with part a, what is the intercept estimate ˆa?e. Based on the regression model, what is the predicted peak flow rate for a subject that is 175cmtall?f. Looking at the original data, subject 8 is 175cm tall with a peak flow rate of 670l/min. What isthe residual for this subject?g. Fit the least-squares model in R. What is the…arrow_forwardplease help me answer for my data analysis classarrow_forwardThe scatter plot shows the sizes and annual rents of some office spaces in the downtown area of a city. Rent (dollars) 140,000 105,000 70,000 35,000 SIZE AND ANNUAL RENT OF OFFICE SPACE ¡. 1: 0 500 1,000 1,500 2,000 2,500 3,000 3,500 4,000 Office Space (square feet) What would the line of best fit reveal about these data? There is a strong positive relationship between the cost of rent and the size of the office space. There is a strong negative relationship between the cost of rent and the size of the office space. O There is a weak negative relationship between the cost of rent and the size of the office space. O There is a weak positive relationship between the cost of rent and the size of the office space.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning