Question

Hi! Can someone help me to calculate the last question, the CI? Thanks!

1 point) College Graduation Rates. Data from the College Results Online website compared the 2011 graduation rate and school sze for 92 similar-sized public universities and colleges in the United States. Statistical sottware was used to places. 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 three decimal Estimate Std. Error tvalue Prilt Intercept 41.442572 4.427554 9.36 6.1e-15 0.001051 0.000481 2.18 0.031 Size Residual standard error: 13.1 on 90 degrees of freedom Multiple R-squared: 0,0504 Adjusted R-squarod: 0.0398 F-statistic:4.77 on 1 and 90 DF p-value: 0.0315 Gradushon Rate by Size 1. Write the equation for the regression line for predicting graduation rate from the size of the school. TEXTPGML::Format2(« END-PGML'); Grad Rate = 41.442572 2.Complete the following sentence: (Size) 0.001051 % of the variation in Graduation rate can be explained by the linear relationship to Size 5.04 Do the data provide strong evidence (α-0.05) that the size of the school is associated with the graduation rate? Conduct a t-test using the information given in the R output and the hypotheses Use α-0.05. 3. Test statistic 2.18 4. Degrees of freedom = 90 5. P-valu0.0315 6. Based on the results of this hypothesis test, there is 7. Calculate a 95% confidence interval for the slope, ß1-( | a significant linear relationship between the explanatory and response variables.

Answer 1

7)for 90degree of freedom and 95% CI ; critical t =1.986675

therefore 95% CI =estimate -/+t*standard error =0001051-/+1.986675*0.000481 ~ 0.000 , 0.002