A student used least squares to estimate the relationship between the number of games won by a

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A student used least squares to estimate the relationship between the number of games won by a football team (Y) and the number of serious injuries suffered by the players

(X). He concluded that “Using a t distribution with 13 degrees of freedom, a t value of 1.58 is not sufficient to reject the null hypothesis β = 0 at a 95 percent confidence interval. Therefore, we can conclude that the number of injuries that a team suffers does affect its chances of winning games.” Explain the error in his interpretation of his results.

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