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LET'S SAY THESE ARE THE NUMBER OF STRIKE-OUTS A PITCHER THROWS IN THE NUMBER OF INNINGS PITCHED (WE HAVE 6 PAIRS OF DATA POINTS)

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LET’S SAY THESE ARE THE NUMBER OF STRIKE-OUTS A PITCHER
THROWS IN THE NUMBER OF INNINGS PITCHED (WE HAVE 6 PAIRS OF DATA POINTS) THE INNINGS PITCHED ARE THE ”X” VALUES (INDEPENDENT VARIABLE) AND THE STRIKE-OUTS ARE THE ”Y” VALUES (DEPENDENT VARIABLE) FOR EXAMPLE WHEN PITCHING 4 INNINGS, THE PITCHER STRUCK OUT 6 BATTERS (ETC.) X-VALUES ARE: 4, 3, 5, 11, 10, 14 THE CORRESPONDING ”Y” VALUES ARE: 6, 7, 12, 17, 10, 14
(a) CALCULATE THE SLOPE AND Y-INTERCEPT FOR EACH WHAT IS THE ACTUAL LINE EQUATION?
(b) CALCULATE THE CORRELATION COEFFICIENT “r” VALUE
(c) WOULD YOU SAY ( AND WHY) THE CORRELATION IS SIGNIFICANT
(d) WHAT DO THE LINE EQUATIONS INDICATE THE Y’-VALUE SHOULD BE FOR X = 18 INNINGS ?
(e) WHAT IS THE STANDARD ERROR OF THE ESTIMATE AND HOW MUCH OF VARIATION IN “Y” IS EXPLAINED BY THE VARIATION IN “X” ? HOW MUCH IS NOT EXPLAINED ?

 
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