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The following graph shows the highest average annual value of contracts for players in Major League Baseball in the years from 1980 to 2001. The solid curve represents a regression equation that is exponential. The dotted line represents the salaries that would be predicted by a linear model.
Attachment:
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1. The possible outlier in this sample is the salary paid to .
2. The linear model would predict salaries higher than those actually negotiated for of the players in this sample.
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1. The possible outlier in this sample is the salary paid to ____________.
(A) Nolan Ryan (B) Bobby Bonilla (C) Darryl Strawberry (D) Gary Sheffield (E) Alex Rodriguez
Explanation
The point representing the salary paid to Alex Rodriguez in 2000 falls dramatically outside the pattern of the linear model and is even significantly higher than what would be predicted by the exponential model. Do not spend time on calculating the formal definition of outlier.
2. The linear model would predict salaries higher than those actually negotiated for ____________ of the players in this sample.
(A) None (B) 3 (C) 5 (D) 7 (E) 8
Explanation
Keep your focus on the dotted line. If the linear model predicts a higher-than-actual salary, the point representing the actual salary will fall below the line, so count the points below the line. A total of eight players (Jim Rice, Ozzie Smith, Orel Hershiser, Robin Yount, Darryl Strawberry, Bobby Bonilla, Cecil Fielder, and Albert Belle) fall below the line, which is pulled upward by the salary for Alex Rodriguez.
Sajjad1994 Hey! Can you post the answers of: Q1 and Q2?
Official Explanation
1. The possible outlier in this sample is the salary paid to ____________.
(A) Nolan Ryan (B) Bobby Bonilla (C) Darryl Strawberry (D) Gary Sheffield (E) Alex Rodriguez
Explanation
The point representing the salary paid to Alex Rodriguez in 2000 falls dramatically outside the pattern of the linear model and is even significantly higher than what would be predicted by the exponential model. Do not spend time on calculating the formal definition of outlier.
Answer: E
Show more
Hi Sajjad1994 but even Gary Sheffield seems to be an outlier here. Are we supposed to pick one which is the furthest away? Question stated "possible" outlier.
Sajjad1994 Hey! Can you post the answers of: Q1 and Q2?
Official Explanation
1. The possible outlier in this sample is the salary paid to ____________.
(A) Nolan Ryan (B) Bobby Bonilla (C) Darryl Strawberry (D) Gary Sheffield (E) Alex Rodriguez
Explanation
The point representing the salary paid to Alex Rodriguez in 2000 falls dramatically outside the pattern of the linear model and is even significantly higher than what would be predicted by the exponential model. Do not spend time on calculating the formal definition of outlier.
Answer: E
Hi Sajjad1994 but even Gary Sheffield seems to be an outlier here. Are we supposed to pick one which is the furthest away? Question stated "possible" outlier.
Show more
You are right! Both are possible outliers, but if we have to pick only one of these two, who will we choose? definitely Alex Rodriguez.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.