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The article “Approximate Methods for Estimating Hysteretic Energy Demand on Plan-Asymmetric Buildings” (M. Rathhore. A. Chowdhury, and S. Ghosh, Journal of Earthquake Engineering. 2011: 99–123) presents a method, based on a modal pushover analysis, of estimating the hysteretic energy demand placed on a structure by an earthquake. A sample of 18 measurements had a
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- Foot ulcers are common problem for people with diabetes. Higher skin temperatures on the foot indicate an increased risk of ulcers. The article “An Intelligent Insole for Diabetic Patients with the Loss of Protective Sensation" (Kimberly Anderson, M.S. Thesis, Colorado School of Mines), reports measurements of temperatures, in °F, of both feet for 18 diabetic patients. The results are presented in the Table Q1. Table Ql: Measurements of temperatures, in °F of left foot Vs right foot for 18 diabetic patients Left Foot Right Foot Left Foot Right Foot 80 80 76 81 85 85 89 86 80 86 75 87 82 88 78 78 89 87 80 81 87 82 87 82 78 78 86 85 88 89 76 80 89 90 88 89 (d) Test the slope, ß1 = 1 at 5% level of significance. (e) Calculate the coefficient of correlation r and r2 and then interpret their valuesarrow_forwardThe following table presents measurements of mean noise levels in dBA (y), roadway width in m (x1), and mean speed in km/h (x2), for 10 locations in Bangkok, Thailand, as reported in the article "Modeling of Urban Area Stop-and-Go Traffic Noise" (P. Pamanikabud and C. Tharasawatipipat, Journal of Transportation Engineering, 1999:152–159). y X1 X2 78.1 6.0 30.61 78.1 10.0 36.55 79.6 12.0 36.22 81.0 6.0 38.73 78.7 6.5 29.07 78.1 12.0 28.26 78.6 6.5 30.28 78.5 6.5 30.25 78.4 9.0 29.03 79.6 6.5 33.17 Construct a good linear model to predict mean noise levels using roadway width, mean speed, or both, as predictors. Provide the standard deviations of the coefficient estimates and the P-values for testing that they are different from 0. Explain how you chose your model.arrow_forwardA survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race during the past month. Do these data provide statistical evidence at the a = 0.05 level that women are less likely than men to run a five-kilometer race? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s).arrow_forward
- The toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 33 34 31 37 46 54 49 41 50 44 56 55 61 64 59 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two decimal…arrow_forwardThe toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 33 33 33 31 37 44 56 52 45 54 46 55 59 59 61 63 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…arrow_forwardThe toco toucan, the largest member of the toucan family, possesses the largest beak relative to body size of all birds. This exaggerated feature has received various interpretations, such as being a refined adaptation for feeding. However, the large surface area may also be an important mechanism for radiating heat (and hence cooling the bird) as outdoor temperature increases. Here are data for beak heat loss, as a percent of total body heat loss from all sources, at various temperatures in degrees Celsius. [Note: The numerical values in this problem have been modified for testing purposes.] Temperature (oC)(oC) 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 Percent heat loss from beak 34 32 33 29 38 46 58 50 46 53 44 51 57 58 59 58 The equation of the least-squares regression line for predicting beak heat loss, as a percent of total body heat loss from all sources, from temperature is: (Use decimal notation. Enter the values of the intercept and slope rounded to two…arrow_forward
- The article "Application of Analysis of Variance to Wet Clutch Engagement" (M. Mansouri, M. Khonsari, et al., Proceedings of the Institution of Mechanical Engineers, 2002:117-125) presents the following fitted model for predicting clutch engagement time in seconds (y) from engagement starting speed in m/s (x1), maximum drive torque in N · m (x2), system inertia in kg · m² (x3), and applied force rate in kN/s (x4): y = -0.83 + 0.017.x, + 0.0895x, + 42.77.xz + 0.027x, – 0.0043x,x, The sum of squares for regression was SSR = 1.08613 and the sum of squares for error was SSE = 0.036310. There were 44 degrees of freedom for error. Predict the clutch engagement time when the starting speed is 20 m/s, the maximum drive torque is 17 N·m, the system inertia is 0.006 kg · m², and the applied force rate is 10 kN/s. b. Is it possible to predict the change in engagement time associated with an increase of 2 m/s in starting speed? If so, find the predicted change. If not, explain why not. Is it…arrow_forwardThe following box plot represents a sample of house prices.arrow_forwardThe body mass index (BMI) of a person is defined to be the person’s body mass divided by the square of the person’s height. The article “Influences of Parameter Uncertainties within the ICRP 66 Respiratory Tract Model: Particle Deposition” (W. Bolch, E. Farfan, et al., Health Physics, 2001:378–394) states that body mass index (in kg/m²) in men aged 25–34 is lognormally distributed with parameters μ = 3.215 and σ = 0.157. a) Find the mean BMI for men aged 25–34. b) Find the standard deviation of BMI for men aged 25–34. c) Find the median BMI for men aged 25–34. d) What proportion of men aged 25–34 have a BMI less than 22? e) Find the 75th percentile of BMI for men aged 25–34.arrow_forward
- 1. Which one can describe the regression estimation? A) Predict the mean value of the dependent variable bascd on valucs of the cxplanatory variables. B) Predict the mcdian valuc of the dependent variable based on valucs of the explanatory variables. C) Predict the mcan valuc of the independent variables on the basis of the dependent variable. D) Predict the median value of the independent variables on the basis of the dependent variable.arrow_forwardSuppose we want to predict job performance of Chevy mechanics based on mechanical aptitude test scores. Job Performance Mechanical Aptitude 1 40 2 45 1 38 3 50 2 48 3 55 3 53 4 55 4 58 3 40 5 55 3 48 3 45 2 55 4 60 5 60 5 60 5 65 4 50 3 58 6 60 3 45 Test at 0.05 level of significance. Assuming data is normal. Use 2 decimal places. Pick one method to be used: Chi-Square Test Mann Whitney U Test Spearman Rank and Friedman Test Mc Nemar’s Test for Correlated Proportions Kendall’s Coefficient of Concordance W Kolmogorov-Smirnov Test Multiple Regression After picking one method to be used, answer the following: What test method to be used: R: Coefficient of Determination: Slope of the line: Y intercept:arrow_forwardA)Test the claim, at the a = 0.10 level of significance, that a linear relation exists between the two variables, for the data below, given that y-1.885x + 0.758. Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis? Step 5) Write the conclusion. B) The regression line for the given data is y = -1.885x + 0.758. Determine the residual of a data point for which x = 2 and y = -4. C) Give a practical interpretation of the coefficient of determination, R2. Express R2 to the nearest whole percent. HIML Editor SAMSUNG &arrow_forward
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