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 6.1 37.359 23 75.37 18.9 73.391 24.9 79.531 21.9 77.961 23.8 78.122 20.6 73.114 22.6 73.494 8.4 46.396 6.6 38.454 10.7 50.433 21 77.99 22.1 76.399 6 41.14 22.4 73.056 14.1 58.879 9.9 48.681 15 58.85 19.3 69.267 18 72.42 Round answers to at least 4 decimal places. a) Calculate the correlation coefficient. r= Perform a hypothesis test to see if the correlation is statistically significant. What is the p-value? b) Find the regression equation y^ = Predict the exam score for a student that scored 26.9 on their third homework assignment. c) Interpret the slope coefficient. For 2.2342 additional points on homework 3, the predicted midterm grade will increase 26.5594 points. For each additional point on homework 3, the predicted midterm grade will increase 2.2342 points. For each additional point on homework 3, the predicted midterm grade will increase 26.5594 points. For each additional point on homework 3, the predicted midterm grade will decrease 26.5594 points. For each additional point on homework 3, the predicted midterm grade will decrease 2.2342 points.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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
6.1	37.359
23	75.37
18.9	73.391
24.9	79.531
21.9	77.961
23.8	78.122
20.6	73.114
22.6	73.494
8.4	46.396
6.6	38.454
10.7	50.433
21	77.99
22.1	76.399
6	41.14
22.4	73.056
14.1	58.879
9.9	48.681
15	58.85
19.3	69.267
18	72.42

Round answers to at least 4 decimal places.

a) Calculate the correlation coefficient. r=
Perform a hypothesis test to see if the correlation is statistically significant. What is the p-value?

b) Find the regression equation y^ =
Predict the exam score for a student that scored 26.9 on their third homework assignment.

Interpret the slope coefficient.

For 2.2342 additional points on homework 3, the predicted midterm grade will increase 26.5594 points.
For each additional point on homework 3, the predicted midterm grade will increase 2.2342 points.
For each additional point on homework 3, the predicted midterm grade will increase 26.5594 points.
For each additional point on homework 3, the predicted midterm grade will decrease 26.5594 points.
For each additional point on homework 3, the predicted midterm grade will decrease 2.2342 points.

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