To determine how many goals Cristiano Ronaldo would have scored in 2013 if played in a false nine position, we need to consider a few factors.
1. Average Goals Per Game (APG):
First, we need to find Ronaldo's average goals per game in 2013 as a left winger. Suppose he played a total of N games and scored 69 goals. Therefore, APG = 69 / N.
2. New Position Effect:
Moving to a false nine position might impact Ronaldo's goal-scoring ability. Typically, players in the false nine position are more involved in creating chances for their teammates rather than solely focusing on scoring goals. It is difficult to determine an exact effect, but for the sake of this explanation, let's assume it reduces Ronaldo's APG by 30%.
3. Number of Games:
Next, we need to estimate the number of games Ronaldo would have played in 2013 if deployed as a false nine. Suppose he played M games as a left winger and is expected to play P games as a false nine.
By applying the reduced APG in the false nine position, we can calculate the number of goals Ronaldo would have scored in those P games. The total goals would be (APG * P * (1 - 0.3)).
However, to estimate P, we need to define a conversion factor that relates the number of games played on the left wing to the false nine position. For instance, if Ronaldo played 40 games as a left winger, we could assume he might have played 0.6 * 40 = 24 games as a false nine, suggesting a 60% conversion rate.
Finally, we can calculate the estimated number of goals scored by Ronaldo in 2013 as a false nine using the equation:
Estimated goals = (APG * P * (1 - 0.3)),
where P = (0.6 * N).
Keep in mind that this is a simplified and hypothetical scenario, as various other factors could impact Ronaldo's goal-scoring ability.
If Cristiano Ronaldo scored 69 in 2013 as a left winger, how many goals will he have scored that same year if played in a false nine position. Explain in detail along with mathematical expressions.
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