A video game designer was attempting to balance their online multiplayer mode since people were complaining that it wasn’t competitive. In order to make it more fair they decided that the amount of experience received should be balanced based on how big the level difference is between the player and the player’s opponent. To that end they devised the following regression model: Experience Gain = -14 + 21.05 Level Difference. They also calculated the coefficient of determination to be 0.96. If the level difference is 4 how much experience should the player receive?  If a user gained 65 points of experience, what was the level difference? What are the y-intercept and slope of this regression model and what do they tell us? Is this a fair way to balance the game? Why or Why not?

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A video game designer was attempting to balance their online multiplayer mode since people were complaining that it wasn’t competitive. In order to make it more fair they decided that the amount of experience received should be balanced based on how big the level difference is between the player and the player’s opponent. To that end they devised the following regression model: Experience Gain = -14 + 21.05 Level Difference. They also calculated the coefficient of determination to be 0.96.

If the level difference is 4 how much experience should the player receive? 

If a user gained 65 points of experience, what was the level difference?

What are the y-intercept and slope of this regression model and what do they tell us?

Is this a fair way to balance the game? Why or Why not?

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