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For a sample of 102 students in a basic statistics course, the sample regression line y = 67.52 + 5.38 x was obtained, where y is the final student score at the end of the course and x is the binary variable that takes the value of 1 if the student is female and 0 is the student is male. The R2 was 0.1158 and the esti- mated estimated standard deviation of the estimator of the slope of the population regression line was 0.4566. (a) Interpret the slope and the intercept of the estimated regression line. (b) Interpret the R2 (c) Construct a confidence interval, at the 99% confidence level for B1. Interpret your results. (d) Test, at the 5% level, the null hypothesis that both males and females have in average the same final score

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