The following data were obtained with a cascade impactor: D, (um) G (%) 0.5 5.4 1.0 14.4 23.4 37.0 55.1 2.0 4.0 8.0
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- In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSxx = 1303.9 SSy= 1503.0 SSy = 2660.2 Ex = 150 .1 Ey = 915 n= 16 %3D %3D 1sxs 34 36.7 s y s 90.5 Calculate the linear correlation coefficient for percent employment in STEM and annual compensation and enter your answer below accurate to two decimal places.Refer to the data presented in Exercise 2.86. Note that there were 50% more accidents in the 25 to less than 30 age group than in the 20 to less than 25 age group. Does this suggest that the older group of drivers in this city is more accident- prone than the younger group? What other explanation might account for the difference in accident rates?Q9 The explanatory variable in linear correlation/regression model is recorded on which of thesemeasurement scales: A. categorical B. ordinal C. quantitative D. none of the above
- The following data represent the time between eruptions and the length of eruption for 9 randomly selected geyser eruptions. The coefficient of determination is 85.7%.Provide an interpretation of this value. Time, x Length, y Time, x Length, y 12.17 1.87 11.75 1.72 11.59 1.77 12.26 1.90 12.05 1.84 11.63 1.75 12.15 1.81 11.66 1.75 11.33 1.63 The least-squares regression line explains nothing ____% of the variation in_________ ▼ length of eruption. time between eruptions. (Round to one decimal place as needed.)A study is designed to investigate whether there is a difference in response to various treatments in patients with Rheumatoid arthritis. The outcome is the patient’s self-reported effect of treatment. The data are shown below. Is there a significant difference in effect of treatment? Run the test at a 5% level of significance. Symptoms Worsened No Effect Symptoms Improved Total Treatment 1 22 14 14 50 Treatment 2 14 15 21 50 Treatment 3 9 12 29 50 Using the data above, suppose we focus on the proportions of patients who show improvement. Is there a statistically significant difference in the proportions of patients who show improvement between treatments 1 and 2? Run the test at a 5% level of significance.A past STAT 200 student tells you that there is a very strong positive linear association between the STAT 200 final exam score and the WeBWork Assignment total. What is a plausible value of the correlation coefficient (r)? OA. -1.1 OB. 0.95 OC. -0.95 OD. 0.01 OE. 1.1 OF. 0.56
- A study of the effects of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to fall asleep. These data are obtained: Smokers: 63.3 56.0 22.1 47.6 53.2 48.1 52.7 34.4 60.2 43.8 23.2 13.8 Nonsmokers: 28.6 25.1 26.4 34.9 29.8 28.4 38.5 30.2 30.6 31.8 41.6 21.1 36.0 37.9 13.9 (a) Use R and report the number of observations for each group. (b) Use R and report the sample mean for each group. (c) Use R and report the sample standard deviation for each group. (d) Comment on what kind of impact smoking appears to have on the time required to fall asleep.1. The data in Table 7–6 were collected in a clinical trial to evaluate a new compound designed to improve wound healing in trauma patients. The new compound was com- pared against a placebo. After treatment for 5 days with the new compound or placebo, the extent of wound healing was measured. Is there a difference in the extent of wound healing between the treatments? (Hint: Are treatment and the percent wound healing independent?) Run the appropriate test at a 5% level of significance. Use the data in Problem 1. Pool the data across the treatments into one sample of size n = 250. Use the pooled data to test whether the distribution of the percent wound healing is approximately normal. Specifically, use the following distribution 30%, 40%, 20%, and 10% and a = 0.05 to run the appropriate test. Percent Wound Healing Treatment 0-25% 26-50% 51-75% 76-100% New compound (n=125) 15 37 32 41 Placebo (n=125) 36 45 34 10In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSx = 1303.9 SSsy= 1503.0 SSy = 2660.2 Ey = 915 n= 16 %3D Ex = 150 .1 1sx<34 36.7 s y < 90.5 Predict the mean annual compensation in industries in which 30 percent of the workforce are in a Stem field. You answer should be entered in thousands of dollars. Example: If you calculate y-hat as 40.6 then the answer you enter should be 40,600
- As a good experimenter, you have built a predictive model of the experimental data. The differences between the actual response data and the model data are termed: A. Confounded data B. Nested experiments C. Residuals D. Efficiency of estimators5. An ecologist is studying the flower Iris versicolor. He measures the width and length of 100 petals of this flower from a large collection of specimens and obtains the following data. Width: AVG = 1.3 cm, SD = 0.2 cm Length: AVG = 4.3 cm, SD = 0.5 cm r = 0.65 One of the petals is at the 30th percentile of both width and length. Relative to all the petals at the 30th percentile width, this petal's length is (circle one) smaller than average about average larger than average Justify your answer using a written explanation and/or a diagram.Table 1. Critical Values from N(0,1) Distribution One-sided 1.29 1.645 2.33 1. 10% 5% 1% Two-sided 1.645 1.96 2.575 Question 1 Are the following statements true or false? Circle A or B to indicate whether each statement is true or false. Low R² in an estimated regression model indicates that changes in independent variables do not have an important effect on the dependent variable. A. True B. False