1. A student undertakes a project to determine the effect of carbon dioxide on respiration rate using the following methodology. A volunteer inhaled air from a bag containing a predetermined amount of carbon dioxide (with partial pressure measured in torr) and the number of breaths per minute was recorded. Her data are given below: Partial pressure CO2 (torr) Respiration rate (breaths/minute) 30 8.1 32 8.0 34 9.9 36 11.2 38 11.0 40 13.2 42 14.6 44 16.6 46 16.7 48 18.3 50 18.2 a). Construct a scatter plot of these data. Does there appear to be a linear relationship between the partial pressure of CO2 and respiration rate? b). Compute the linear regression equation so that Y may be predicted from X. c). Test the significant of this regression equation via ANOVA and t test with HO: B =0. d). Calculate the 95% confidence interval for slope B. e). Find the predicted respiration rate for a partial pressure of 38 torr (ûyx when X=38), and the 95% confidence interval for this prediction.

1. A student undertakes a project to determine the effect of carbon dioxide on respiration rate using the following methodology. A volunteer inhaled air from a bag containing a predetermined amount of carbon dioxide (with partial pressure measured in torr) and the number of breaths per minute was recorded. Her data are given below: Partial pressure CO2 (torr) Respiration rate (breaths/minute) 30 8.1 32 8.0 34 9.9 36 11.2 38 11.0 40 13.2 42 14.6 44 16.6 46 16.7 48 18.3 50 18.2 a). Construct a scatter plot of these data. Does there appear to be a linear relationship between the partial pressure of CO2 and respiration rate? b). Compute the linear regression equation so that Y may be predicted from X. c). Test the significant of this regression equation via ANOVA and t test with HO: B =0. d). Calculate the 95% confidence interval for slope B. e). Find the predicted respiration rate for a partial pressure of 38 torr (ûyx when X=38), and the 95% confidence interval for this prediction.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A. A patient was given a z score of 2.1 for their bone density exam. The μ = 75 and σ = 8. What is their score (X) for the exam? B. A patient was given an exam score of X = 77. The μ = 75 and σ = 8. What is their z score for the exam?
6
The 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 0.8489 0.4148 2.06 0.84 Weight 0.39782 0.02978 13.52 0.000 S = 0.517508 R-Sq = 96.6% (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.)
You investigate the relationship between height and dbh (diameter at breast height) of oak trees. You get the following results: dbh (cm): 26 49 52 32 15 15 39 41 20 30 46 42 21 40 17 38 13 26 49 26height(m): 10.2 13.5 16.3 10.8 8.9 10.0 14.2 11.3 9.7 11.4 13.5 13.6 11.6 11.2 7.7 13.1 7.9 10.4 15.6 9.0 Read the data into R. (a) Calculate the following using R: ̄x , ̄y , SSx, SSy. (Note that to get SSy or SSx, you can just ask R for the variance (var) or standard deviation, and then do the appropriate calculation).(b) Perform a complete test of the hypothesis that there is no difference in height as dbh increases. Write out all the appropriate steps of a regular hypothesis test (give H0, H1, α, your decision, etc.)(c) Give the equation of the least squares line
When purifying drinking water you can use a so-called membrane filtration. In an experiment one wishes to examine the relationship between the pressure drop across a membrane and the flux (flow per area) through the membrane. We observe the following 10 related values of pressure (x) and flux (y): 1 2 3 4 5 7 8. 9 10 Pressure (x) 1.02 2.08 2.89 4.01 5.32 5.83 7.26 7.96 | 9.11 9.99 Flux (y) 1.15 0.85 1.56 1.72 4.32 5.07 5.00 5.31 6.17 7.04 (a) Fit the least square regression equation to predict the flux (flow per area) through the pressure drop across a membrane. (b) Find the estimated flux when the pressure drop across a membrane is 4.50. (c) Calculate the coefficient of correlation. Interpret your result. (d) Given Sxx = 83.25961 and Se = 0.64460653. Test, at the 0.01 level of significance, whether there is linear relationship between the pressure drop across a membrane and the flux (flow per area) through the membrane. (e) Construct a 98% confidence interval for the mean flux for the…
Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here are the data
Scientists are looking at the effects of global warming on clutches of sea turtle hatchlings in different parts of the world. The data below has been collected: 1.Temperature of Incubation (in Kelvin) 2. Gender Group of Hatchling Clutch (0=0% male; 1= greater than 0% but less than or equal to 10% male; 2= greater than 10% but less than 20% male; 3= greater than 20% but less than or equal to 30% male and so on) 3. Number of hatched eggs 4. number of unhatched eggs 5. Location of Turtles (0=west North America; 1= west South America; 2= tropical regions of Pacific; 3= northwestern Atlantic; 4= Indian Ocean Which of the above variables are measured using a nominal scale, ordinal scale and ratio scale. (An answer can be none of variables) thank you
Calculate the surface temperature of the sun based on its emission spectrum 1200 1000 800 600 400 200 200 380 600 780 1000 1400 1800 2200 nm UV Visible IR W/m2.nm
Q1) The relative density p of air was measured at various altitudes h. The results were below: h (km) 0.5 1.12 2.36 3.32 4.55 6.87 1 0.69 0.51 0.39 0.23 0.1 The p(h) = aebh to fit this data is: (Take 2 decimal places of accuracy) %3D
Below are the discharge values at a watershed outlet. If direct runoff starts at time = 3 hr and the straight line method is used to separate base flow, then the volume of direct runoff during the first 6 hours in cubic meters is: Time (hr) Discharge (m/s) 0. 7 4. 9. 11 6. 17 12 25 15 32 18 30 21 24 24 17 27 11 30 7. 33 4. 36 2. Select one: O a 37800 Ob. 97200 Oc.59400 O d. zero O e None of the above
NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2: Suppose a sample of 502 people is drawn. Of these people, 140 passed out at G forces greater than 6. Using the data, estimate the proportion of people who pass out at more than 6 Gs. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Measurements of position