3 I. Show complete solutions Simple Linear Regression and CoIrelation: a.) Results of a study on the occurence of sodium and chloride in surface streams in a coastal area. The following data are chloride concentration (y) in mg/liter and road-way area in the watershed (x) in %. Y 0.24 4.6 0.3 6.4 0.45 9.8 0.75 10.7 0.57 10.6 0.75 10.9 0.4 11.7 0.8 12.5 0.6 14 0.78 14.7 0.85 15.1 0.68 18.3 0.69 19.2 1.4 23.1 1.15 27.3 1.05 27.7 1.69 32 1.62 38.4
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?3. Hard water. In an investigation of environmental causes of disease, data were collected on the annual mortality rate (deaths per 100,000) for males in 61 large towns in England and Wales. In addition, the water hardness was recorded as the calcium concentration (parts per mil- lion, or ppm) in the drinking water. Here are the scatter- plot and regression analysis of the relationship between mortality and calcium concentration. a) Is there an association between the hardness of the water and the mortality rate? Write the appropriate hypothesis. b) Assuming the assumptions for regression inference are met, what do you conclude? c) Create a 950/0 confidence interval for the slope of the true line relating calcium concentration and mortality and Interpret your interval in context.
- Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A random sample of measurements are shown below. (Reference: EPA Wetland Case Studies.) Reading Inlet (mg/l) Outlet (mg/l) 3 4 5 6 7 8 9 10 11 12 31.6 86.9 87.0 12.0 45.4 43.3 32.3 77.7 71.7 85.9 64.9 80.1 3.3 14.2 16.8 5.7 4.6 6.2 3.4 7.7 8.0 7.4 8.7 14.3 Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings. (a) Rank-order the inlet readings using 1 as the largest data…Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A random sample of measurements are shown below. (Reference: EPA Wetland Case Studies.) Reading 1 2 3 4 5 6 7 8 9 10 11 12 Inlet (mg/l) 59.1 25.7 70.5 71.0 37.6 43.5 13.1 24.2 16.7 49.1 67.6 31.7 Outlet (mg/l) 18.2 14.3 15.3 17.5 13.1 8.0 4.1 4.4 4.3 5.8 16.3 7.1 Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings. (a) Rank-order the inlet readings using 1 as…Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A random sample of measurements are shown below. (Reference: EPA Wetland Case Studies.) Reading 1 2 3 4 5 6 7 8 9 10 11 12 Inlet (mg/l) 62.1 13.8 63.5 30.6 91.1 11.5 67.2 75.6 79.3 29.5 72.9 21.3 Outlet (mg/l) 11.3 2.7 7.5 12.3 12.9 3.8 13.3 13.2 15.1 6.0 7.0 4.7 Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings. (a) Rank-order the inlet readings using 1 as…
- Turbid water is muddy or cloudy water. Sunlight is necessary for most life forms; thus turbid water is considered a threat to wetland ecosystems. Passive filtration systems are commonly used to reduce turbidity in wetlands. Suspended solids are measured in mg/l. Is there a relation between input and output turbidity for a passive filtration system and, if so, is it statistically significant? At a wetlands environment in Illinois, the inlet and outlet turbidity of a passive filtration system have been measured. A random sample of measurements are shown below. (Reference: EPA Wetland Case Studies.) Use a 1% level of significance to test the claim that there is a monotone relationship (either way) between the ranks of the inlet readings and outlet readings. (a) Rank-order the inlet readings using 1 as the largest data value. Also rank-order the outlet readings using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. (c) Compute…Pls. help me in my stat about CORRELATION ANALYSIS, SIMPLE REGRESSION ANALYSIS AND PATH ANALYSIS IN RI set up a multiple linear regression model to explain returns on BA as a linear function of market returns, and size and value. Note that the data is in levels ( not in logs) I interpret the beta of market as Select one: a. the impact of a one unit variation of market on BA returns on average b. the impact of a one unit % chnage in market on the BA returns on average keeping size and value fixed c. the relation between BA returns and market d. the impact of a one percentage variation of market on BA returns on average in percentage e. the impact of a one unit variation in market on the BA returns on average keeping size and value fixed
- In an experiment, the independent variable is the percentage of hydrocarbons and the dependent variable is the purity of oxygen produced in a chemical distillation process that are present in the main condenser of the distillation unit. The simple linear regression and correlation analysis is performed in a sample of 9 observations. Results are as shown below: SSxx : 113.7356 SSyy = 0.5156 уу a = -4.2869 b = 0.0648 %3DA regression model is desired relating temperature and the proportion of impurities passing through solid helium. Temperature is listed in degrees centigrade. The data are as follows: Temperature (°C) -260.5 -255.7 -264.6 -265.0 -270.0 -272.0 -272.5 -272.6 -272.8 -272.9 Proportion of Impurities 0.425 0.224 0.453 0.475 0.705 0.860 0.935 0.961 0.979 0.990 (a) Fit a linear regression model. (b) Does it appear that the proportion of impurities passing through helium increases as the temperature approaches -273 degrees centigrade? (c) Find R². (d) Based on the information above, does the linear model seem appropriate? What additional information would you need to better answer that question?4b) The data shows a systolic and a diastolic blood pressure of certain patients. Find the linear regression equation, using the first variable x (systolic) as the independent variable. Find the best predicted diastolic blood pressure for a patient with a systolic blood pressure (y) reading of 140. What is the correlation coefficient, r? Using a significance level of a = 0.05, is there a significant linear relationship between systolic and diastolic blood pressure? Blood Pressure: Systolic Diastolic 112 125 115 136 143 116 123 124 elimii 70 89 65 90 97 64 SUTT nisinoo aqdM 21.SS bns aqdM 78 ahoqnis erit te zbesqz steb ils to 69 bns ago 20.EI to adimil srit terit sonabilnos 2 nistnoo aqdM 21.SS bnc agdM sgsavs arit ferli mislo a hoqnis orti roqque lovedni sonsbilnos 3028 wolsd insmsisiz tomo artezorio SeqdM 2.55 al 2.SS to sulavadi znistmoodi ezusaed mish ads toqque ton zaob 2.55 to sulsy sdt anistroo ti sausosd mislo ert hoqquz 200b to sulav orit nisinoo ton zoob 11 saussed misbb adi…