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Answer TRUE or FALSE to the following five questions and provide explanations:(a)If the correlation betweenYtandXtis equal to 1, then the coefficientβin the above regression mustbe 1(b)If the correlation betweenYtandXtis equal to 0, then the coefficientβin the above regression mustbe 0(c)If the coefficient of determinationR2in the above regression is equal to 1 then the coefficientβin theabove regression must also be 1(d)If the coefficient of determinationR2in the above regression is equal to 0 then the coefficientβin thisabove regression must also be 0(e)If the coefficient of determinationR2in the above regression is equal to 1 then the correlation betweenYtandXtmust also be 1