# A teacher believes that the third homework assignment is a key predictor in how well students...

###### Question: A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed. HW3 Midterm 93.672 23.2 11.1 64.856 57.896 87.976 10.1 20.6 10.3 63.488 14.6 70.216 5.5 48.28 11 60.56 23.5 97.56 81.064 15.9 9.9 62.304 5.4 45.984 9.7 55.712 17.7 78.392 10.5 56.08 44,76 84.72 19.5 12.1 62.816 103.152 23.7 47.832 6.7 13.3 65.368 15.4 73.584 74.728 16.8 18.7 81.352 24.9 99.704 Round answers to at least 4 decimal places. a) Calculate the corelation coefficient. r b) Perform a hypothesis test to see if the correlation is statistically significant. What is the p-value? c) Is the correlation statistically significant at the 0.01 significance leve Select an answer No d) Find the regression equation ý- Pre Yes e) Predict the exam score for a student that scored 22.6 on their third homework assignment. f) Interpret the slope coefficient For cach additional point on homework 3, the predicted midterm grade will increase 2.8394 points For each additional point on homework 3, the predicted midterm grade will decrease 30.0377 points. For each additional point on homework 3, the predicted midterm grade will decrease 2.8394 points. For 2.8394 additional points on homework 3, the predicted midterm grade will increase 30.0377 points For each additional point on homework 3, the predicted midierm grade will increase 30.0377 points.

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