\uacc4\ub7c9\uacfc\uc81c - 1-a \ud68c\uadc0\ubaa8\ud615 colGPA=1.286328(0.340822 0.453456hsGPA(0.095813 0.009426ACT(0.010777 \ucd94\uc815\uacb0\uacfc Call lm(formula = colGPA ~ hsGPA

uacc4ub7c9uacfcuc81c - 1-a ud68cuadc0ubaa8ud615...

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1-a) 회귀모형 colGPA=1.286328( 0.340822 )+0.453456hsGPA( 0.095813) + 0.009426ACT( 0.010777 ) 추정결과 Call: lm(formula = colGPA ~ hsGPA + ACT) Residuals: Min 1Q Median 3Q Max -0.85442 -0.24666 -0.02614 0.28127 0.85357 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.286328 0.340822 3.774 0.000238 *** hsGPA 0.453456 0.095813 4.733 5.42e-06 *** ACT 0.009426 0.010777 0.875 0.383297 --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 0.3403 on 138 degrees of freedom Multiple R-squared: 0.1764, Adjusted R-squared: 0.1645 F-statistic: 14.78 on 2 and 138 DF, p-value: 1.526e-06 b) Summary(prob1) 값 에 서 Multiple R-squared 값 이 0.1764 이 므 로 전 체 의 17.64% 만큼 설명한다 . c) "hsGPA"=3.5, "ACT"=24 이 므 로 회 귀 모 형 의 변 수 에 그 대 로 적 용 하 면 colGPA=3.099648 가 된다 . 1-d) 회귀모형 : colGPA = 1.38955( 0.33155 ) +0.41182( 0.09367 )hsGPA + 0.01472( 0.01056 )ACT - 0.08311( 0.02600 )skipped 추정결과 Call: lm(formula = colGPA ~ hsGPA + ACT + skipped) Residuals:
Min 1Q Median 3Q Max -0.85698 -0.23200 -0.03935 0.24816 0.81657 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 1.38955 0.33155 4.191 4.95e-05 *** hsGPA 0.41182 0.09367 4.396 2.19e-05 *** ACT 0.01472 0.01056 1.393 0.16578 skipped -0.08311 0.02600 -3.197 0.00173 ** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 0.3295 on 137 degrees of freedom Multiple R-squared: 0.2336, Adjusted R-squared: 0.2168 F-statistic: 13.92 on 3 and 137 DF, p-value: 5.653e-08 이며 ACT t value 값이 1.393 이므로 유의수준 5% 수준의 값 1.96 보다 낮기에 유의 적이지 않으므로 귀무가설을 기각하지 않는다 .

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