2. Data were collected from a sample of World Campus STAT200 students from the S

Question

2. Data were collected from a sample of World Campus STAT200 students from the Summer 2017 semester. We want to know if there is a relationship between students' Wiley PLUS scores (out of 100 points)and scores on the midterm exam (out of 50 points) in the population ofall World Campus STAT200 students. All assumptions were checked and were met forusing linear regression techniques. The following output was obtained from Minitab Express for a simple linear regression model using WileyPLUS scores to predict midterm exam scores. (40 points) Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Regression 1 162.246 162.246 9.17 0.0050 Error Tota 30 530.834 17.694 31 693.079 Model Summary S R-sq R-saladi 4.20648 23.41% 20.86% Coefficients Term Constant34.9963.246 10.78

Explanation / Answer

A) Correlation coefficient = SQRT(0.2341) = 0.4838

2) Yes, it it statistically significant as p value of 0.005 is low

3) Predicted score in midterm = 34.996+0.109868*80 = 43.7704

4) Predicted mid term score = 34.996+0.10968*100 = 45.964

Residual = 48-45.964 = 2.036

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