In a Simple Linear Regression Problem, the Following Statistics Are $$\sum ( x - \bar { x } ) ( y - \bar { y } )$$

question 165

Multiple Choice

In a simple linear regression problem, the following statistics are calculated from a sample of 10 observations: $$\sum ( x - \bar { x } ) ( y - \bar { y } )$$ = 2250, $$S _ { x }$$ = 10, $$\sum x$$ = 50, $$\sum y$$ = 75 The least squares estimates of the slope and y-intercept are respectively:

• A) 225 and -1117.5.
• B) 2.5 and -5.
• C) 25 and-117.5.
• D) 25 and 117.5.

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