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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 fitted regression line is obtained from a least squares fit.
(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 coefficient of determination indicates that the regression cannot be statistically significant.
(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 fitted intercept parameter and the fitted slope parameter.
(k) For very large sample sizes the confidence bands
and the predictions bands will be virtually
indistinguishable. (1) Not every nonlinear model is intrinsically linear, (m) The correlation between two variables can sometimes be reduced by changing the unite that they are measured with.
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