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The Australian Tertiary Admission Rank (ATAR) is the main criterion used for entry into most undergraduate programs at universities in Australia. A Statistics lecturer wishes

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The Australian Tertiary Admission Rank (ATAR) is the main criterion used for entry into most undergraduate programs at universities in Australia. A Statistics lecturer wishes to investigate whether a student's ATAR influences their subsequent performance in a first-year Statistics subject. Use these results to answer the questions on the next page. Scatterplot of ATAR vs Statistics Mark 90 Statistics Mark 60 70 80 90 ATAR RStudio OUTPUT Call: 1m(formula = Mark ~ ATAR, data = statistics) Coefficients: Estimate Std. Error t value pr(>|t/) (Intercept) 11. 5372 6.96155 1. 657 0. 111 ATAR 0. 8696 0 . 09156 9. 498 2e-09 *# # Signif. codes: 0 '*#*' 0.001 '##' 0.01 '#' 0.05 ' .' 0.1 ' ' 1 Residual standard error: 4.743 on 23 degrees of freedom Multiple R-squared: 0.7968, Adjusted R-squared: 0. 788 F-statistic: 90.21 on 1 and 23 DF, p-value: 2.003e-09

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