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- What is regression analysis? Describe the process of performing regression analysis on a graphing utility.Some non-linear regressions can also be estimated using a linear regression model (using "linearization'). Assume that the data below show the selling prices y (in dollars) of a certain equipment against its age x (in years). We'd like to fit a non-linear regression in the form y= cd to estimate parameters c and d from the data by linearizing the model through In y= In c+ (In d)x = bo + b,x. y y 1 6312 5387 5697 4973 5734 4892 (Click the button to copy or download the data.) Using Excel ot other software, the non-linear regression model y = cdX can be estimated as: (Round c and d to four decimal places, inlcuding any zeros.)The linear regression results below are based on commercial properties that real estate agencies use to guide clients with quantitative information helpful to make rental decisions. A random sample of 27 properties are considered with data for the variables, age of the property (X1), operating expenses and taxes (X2), vacancy rates (X3), total square footage (X4), and rental rates (Y). Parameter Estimates Coefficients Standard Error Intercept AGE(X1) EXPENSE(X2) VACRATE(X3) SOFOOT(X4) 14.33223914 1.457614894 -0.115608327 0.031632885 0.100364547 0.14274746 0.631648649 2.043860082 0.063765767 0.024929829 What is the upper limit of the 95% confidence interval estimate for the effect of a square footage increase on the mean rental rates of properties?
- A simple linear regression model between income and expense established and the estimation of the regression line Y=110+0.7X was found as According to this; dependent and independent Explain the variables with their reasons. Prediction Interpret the coefficients of the equation statistically.The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature (x1), the number of days in the month (x2), the average product purity (x3), and the tons of product produced (x4). A multiple linear regression analysis was applied to the experimental data using MINTAB and the following results were obtained: Regression Analysis: y versus x1, x2, x3, x4 Regression Equation y = -123 + 0.757 x1 + 7.52 x2 + 2.48 x3 - 0.481 x4 Coefficients Term Coef SE Coef T-Value P-Value VIF Constant -123 157 -0.78 0.459 x1 0.757 0.279 2.71 0.030 2.32 x2 7.52 4.01 1.87 0.103 2.16 x3 2.48 1.81 1.37 0.212 1.34 x4 -0.481 0.555 -0.87 0.415 1.01 Analysis of Variance Source DF Seq SS Seq MS F-Value P-Value Regression 4 5600.5 1400.1 10.08 0.005 Error 7 972.5 138.9 Total 11 6572.9 Then, the upper limit of the two-sided 95% confidence interval on the slope B2 is equal to а. 17 O b. 20 19A weight-loss clinic wants to use regression analysis to build a model for weight loss of a client (measured in pounds), Two variables thought to affect weight loss are client's length of time on the weight-loss program and time of session These variables are described below: Y-BO+B1'X+82'D 83'X'D+E Y-Weight loss (in pounds) X- Length of time in weight-loss program (in months) D-1 if morning session. O if not in terms of the Bs in the model, what is the difference between the weight loss of an individual who has spent 3 months in the program when attending the morning session, and an individual who has spent 2 months in the program when attending the evening session? OB1+83 OB1+82-83 OB1+82+283 O81+82+383
- The flow rate in a device used for air quality measurement depends on the pressure drop x (inches of water) across the device's filter. Suppose that for x values between 5 and 20, these two variables are related according to the simple linear regression model with true regression line y = -0.11 + 0.097x. (a.1) What is the true average flow rate for a pressure drop of 10 in.?(a.2) A drop of 15 in.?(b) What is the true average change in flow rate associated with a 1 inch increase in pressure drop?(c) What is the average change in flow rate when pressure drop decreases by 5 in.?Some non-linear regressions can also be estimated using a linear regression model (using 'linearization'). Assume that the data below show the selling prices y (in dollars) of a certain equipment against its age x (in years). We'd like to fit a non-linear regression in the form y = cd* to estimate parameters c and d from the data by linearizing the model through In y In c+ (In d)x = b, + b, x. y y 6381 3 5394 5673 4980 2 5740 4896 (Click the button to copy or download the data.) Using Excel ot other software, the non-linear regression model y = cd can be estimated as: y = D*. (Round c and d to four decimal places, inlcuding any zeros.)The population of a city increased steadily over a ten-year span. The following ordered pairs shows the population and the year over the ten-year span, (population, year) for specific recorded years: (2500, 2000), (2650, 2001), (3000, 2003), (3500, 2006), (4200, 2010) Using this tool we find the linear regression line to be y = Type your answer without spaces or commas and rounded to the nearest hundredth. The population will hit 8,000 in the year Using this tool we find the r-value to be
- !Let x be the size of a house (sq ft) and y be the amount of natural gas used (therms) during a specified period. Suppose that for a particular community, x and y are related according to the simple linear regression model with the following values. ? = slope of population regression line = 0.014? = y intercept of population regression line = -4 (a) What is the equation of the population regression line?y = (b) What is the mean value of gas usage for houses with 2100 sq ft of space?(c) What is the average change in usage associated with a 1 square foot increase in size?(d) What is the average change in usage associated with a 100 square feet increase in size?Expalin the concept of Nonlinear Regression Functions in detail?