Question

(1 point) College Graduation Rates. Data from the College Results Online website compared the 2011 graduation rate and school size for 92 similar sized public universities and colleges in the United States. Statistical software was used to create the linear regression model using size as the explanatory variable and graduation rate as the response variable. Summary output from the software and the scatter plot are shown below. Round all calculated results to four decimal places Coefficients Estimate Std. Errort value Pr(>10) Intercept 41 442572 4.427554 9.36 6.10-15 Size 0.001051 0.000481 2.18 0.031 Residual standard error 13.1 on 90 degrees of freedom Multiple R-squared: 0.0504 Adjusted R-squared 0.0398 F-statistic: 4.77 on 1 and 90 DF, p-value: 0.031 Graduation Rate by Size S of School

Answer 1

Hese x- Y size of school Graduation rate. - e To ind, coile the equabon of begression line for predicting graduation rate from the size of the school. rood Rate - 41.442572 + 0.001051 Csize) 2 complete the sentence r2 = 0.0504 = 5.04 I vocation in Graduation be explained by the relationship to size s 1 of the rate can linear of School dal, a=0.05 The Hypothesis Ho: 31-0 VS Hii Bito Test Statistic, B Secß, 2 0.001051 0 000 481 2.185 t =

degrees dif = n-2 of freedom Her ng2 = 92-2 -go df Ans - df = 90 6 p. value = p tgo > 2.185 = 0.03 1486 Ans P.Value = 0.0315 1 Based on the results of this hypothesis test p.value = 0.0315 O'05 - Pivolue = 0.0315 < L oos - ne Reject Ho at 5% level of significonce Ans - Those is a significant linear c relationship between the explontone and response vorables. inlenval calculate a 95%. Confidence for the slope B . The 951. (.ris, Bu + £42,60-2) Decß) )

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