Question

Questions 1 through 7.

Extra Credit Opportunity Total Activity Time (Hours:Min:Seconds) 1:0:06:44 4:54:34 1:32:58 1:21:27 1:12:58 11:53:13 4:2:32:08 5:30:49 23:42:30 1:58:29 8:03:26 23:53 1:07:09 13:11:18 Exam 1 Grade (%) 70 65 90 80 70 85 90 55 83 60 90 80 85 90 1. Create a scatterplot for the data listed above. 2. Describe the shape and direction of the plot. 3. Calculate the correlation coefficient. 4. Calculate the linear regression line. 5. Based on the linear regression line, what should a student score on the exam if they spent 30 hours in the homework platform 6. Based on this relationship, what can you conclude about the relationship between homework and exam grades? 7. Are there any other factors that might influence the relationship between homework and exam grades? If so list 2.

Answer 1

1.

data:

Time	Hour	Grade %
01:00:06	1	70
01:07:09	1	85
01:12:58	1	70
01:21:27	1	80
01:32:58	1	90
01:58:29	1	60
04:02:32	4	90
04:54:34	4	65
05:30:49	5	55
08:03:26	8	90
11:53:13	11	85
13:11:18	13	90
23:42:30	23	83
23:53:00	23	80

Grade % vs hours 100 90 . 80 70 . 60 . 50 40 y = 0.4372x + 75.042 R2 = 0.0827 30 20 10 0 0 5 10 15 20 25

2.

Shape is straight line and upwards but too flat

3. correlation =

0.287514

4. Equation:

Grade = 0.4372 * Time + 75.1334.

5. when x= 30,

y = 0.4372 *30 + 75.1332 = 88.2492

6. The relationship exists but is very week and explains hours explain only 8.27% variability in grades

7. There can be because it is not appropriate model.

No. of hours alone do not matter but quality and concentration matters, IQ matters, interest in subject matters, etc.

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