Suppose in a scatterplot matrix, you observe that all of the scatterplots associated with the explanatory variables show a strong linear relationship. There are three explanatory variables in the model. Of the following, which is the most valid to do?  Remove the response variable. Remove only one of the explanatory variables and keep only two.   Remove all of the explanatory variables because they are linearly related to each other and therefore explain the same thing. Remove exactly two of the explanatory variables because they are all linearly related to each other and therefore explain the same thing. We only need to keep one in the model.

The Simple Linear Regression model is   Y = b0 + b1*X1 + u   and the Multiple Linear Regression model with k variables is:   Y = b0 + b1*X1 + b2*X2 + ... + bk*Xk + u   Y is the dependent variable, the X1, X2, ..., Xk are the explanatory variables, b0 is the intercept, b1, b2, ..., bk are the slope coefficients, and u is the error term,   Yhat represents the OLS fitted values, uhat represent the OLS residuals, b0_hat represents the OLS estimated intercept, and b1_hat, b2_hat,..., bk_hat, represent the OLS estimated slope coefficients. QUESTION 28 Suppose your estimated MLR model is: Y_hat = -30 + 2*X1 + 10*X2 Suppose the standard error for the estimated coefficient associated with X2 is equal to 5. Now, suppose that for some reason we multiply X2 by 5 and we re-estimate the model using the rescaled explanatory variable. What will be the value of the estimated coefficient of X2 and its standard error?   The estimated coefficient of X2 will be equal to 50 and its standard error will be…

What are the assumptions underlying the predator-prey model discussedin this section?

0 to ld 16. For the data in the following matrix: Male Female No Treatment M = 8 M = 4 overall con M = 6 Treatment M = 14 M = 10 overall M = 12 Overall M=11 Overall M=7 a. Which two means are compared to describe the treatment main effect? b. Which two means are compared to describe the gender main effect? c. Is there an interaction between gender and treat- ment? Explain your answer.