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- 1. By applying the least coefficients method (linear regression) to the table values below;a) Draw a straight line.b) Find the y value for x=30.Generate an expression describing the temperature behavior for X=6. I had a doubt about how to do it, so far I have worked with three methods which are least squares (linear regression and polynomial regression), Newton polynomial and Lagrange polynomial. But I still can not get the expression, I hope you can help me.Generate the expression describing the temperature behavior for X=6, by Newton's polynomial. I had a doubt about how to do it, so far I have worked with least squares (linear regression and polynomial regression). But I still could not get the expression, I hope you can help me.
- A multiple regression model has the form y with hat on top= 12 – 4 x1 + 5 x2. As x1 increases by 7 units (holding x2 constant), y with hat on top is expected to (enter increase, decrease) by units.A multiple regression model has the form: As x1 increases by 1 unit (holding x2 contact), is expected to ____. Select one: a. decrease by 9 units b. increase by 2 units c. decrease by 2 units d. increase by 9 units(Yi, X1i, X2i) satisfy the assumptions. You are interested in β1, the causal effect of X1 on Y . Suppose that X1 and X2 are uncorrelated. You estimate β1 by regressing Y onto X1 (so that X2 is not included in the regression). Does this estimator suffer from omitted variable bias? Explain.
- Having a Coefficient Of Determination ‘R2‘ close to 1.0 and t-statistics for coefficients that are all more negative than - 2.5 imply that a regression … … is likely useful … is likely not useful … can be good or bad since R2 & t-statistics for coefficients do not help us determine if a regression is usefula.Determine the multiple regression model for this analysis. b.Based on your answer in (a), explain on the strength and the variation of the model. c.At α-value=0.01, test whether there is a significant relationship between thedependent variable (Y) and the independent variables (X1, X2 and X3).Suppose a city of 225290 people is experiencing a viral outbreak. Public health officials have determined that a SIR model is a good model for this outbreak. They have calculated that the parameter a is approximately 2.3 x 10^-7 and the data on the virus indicates that it takes approximately 25 days to recover from infection. After infection and recovery, a person becomes immune. At day 32 there are 4421 people infected, 421 people have recovered, and 224418 people are still susceptible. Use Euler's method to predict the susceptible, infected, and recovered the population on day 33. a)233624 susceptible,8802 infected, and 468 recovered b)233624 susceptible,406 infected, and 8740 recovered c)233624 susceptible,426 infected, and 8760 recovered d)224396 susceptible,406 infected, and 488 recovered e)224396 susceptible,426 infected, and 468 recovered solve step by step
- The data below shows the result (y) for every value of (x). Using the method of least squares, find the slope of the regression line (b^hat)a)Find the equation of the least-squares regression line for the data. (Where x is the independent variable.) Round constants to the nearest hundredth. b)Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 53 centimeters.Consider the regression model: (C1+Y) = β0 + β1(C2 + X) + μ. a. Show that the slope estimator from this model, β1tilde, is equal to the OLS estimator of the slope, β1hat. b. Derive the equation for the intercept term, β0tilde, that contains both of OLS estimators of β0hat and β1hat.