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ID: 3350397 • Letter: 1
Question
140% Revieww bCcDdE AaBbCcDdE AaBbCcDdEe AaBbCcDd AaBbCcDdi AaBbCcDd Normal No Spacing Heading 7Subtle Empha Emphasis intense Emph. 21 61 Answer the following questions concerning simple linear regression. (a) Is it true that a simple linear regression model allows the expected (or predicted) 4. response values to fall around the regression line, while the actual response values must fall on the line? Explain (b) Suppose we have a sample of data consisting of two quantitative variables, vi and v2. Do we obtain the same results if we fit a simple linear regression model with response variable vi and predictor variable v2 as we do if we fit a simple linear regression model with response variable v2 and predictor variable vi? Explain. (c) Is it true that the (Pearson) coefficient of correlation is a useful measure of the linear association between two variables? Explain.
Explanation / Answer
A ) this is statement is false
The expected response value fall on the regression line while the actual response value may fall around the regression line.
B) no we will not get the same results if we fit a simple linear regression model with two different predictor variables
The least-squares regression line is determined by min-
imizing y-deviations from the data values, so switching
explanatory and response variables will generate a dif-
ferent least-squares line.
C) yes , the strength of the linear relationship between the two variable is quantified by the correlation coefficient
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