Are the following statements true or false? (a) In simple

Chapter 12, Problem 12.12.12

(choose chapter or problem)

Are the following statements true or false? (a) In simple linear regression, the choice of which variable should be designated as the dependent variable and which variable should be designated as the explanatory variable is determined by considering the correlation between the variables. (b) In regression modeling the dependent variable may be called the output variable. (c) The standard tted regression line is obtained from a least squares t. (d) In general, extrapolation should be avoided if possible, but it is not as risky as interpolation. (e) Prediction bands are narrowest at the sample average of the input variable. (f) A small value of the coefcient of determination indicates that the regression cannot be statistically signicant. (g) If two variables have a causal relationship, then they have an association. (h) If two variables have an association, then they must have a causal relationship.(i) A simple linear regression model has three unknown parameters. (j) The solution of the normal equations provides the tted intercept parameter and the tted slope parameter. (k) For very large sample sizes the condence bands and the predictions bands will be virtually indistinguishable. (l) Not every nonlinear model is intrinsically linear. (m) The correlation between two variables can sometimes be reduced by changing the units that they are measured with.

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