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Your team members were interested in (a) how students were connecting with their professors and lecture content, (b) how in control students felt over their learning, and (c) how much they valued what they were learning during online lectures given the switch from in-person to virtual learning at the start of the pandemic. They collected data by briefly interrupting students at three-time points throughout an online lecture (similar to Dataset 1) to answer three different questions. They were asked “did you generate a personal connection with the information you were learning?” on a scale of  1 (not at all) to 9 (extremely), “I have the impression that my learning the content from this lecture so far has been under my control” on a scale from 1 (strongly disagree) to 5 (strongly agree), and “I beli

Your team members were interested in (a) how students were connecting with their professors and lecture content, (b) how in control students felt over their learning, and (c) how much they valued what they were learning during online lectures given the switch from in-person to virtual learning at the start of the pandemic. They collected data by briefly interrupting students at three-time points throughout an online lecture (similar to Dataset 1) to answer three different questions. They were asked “did you generate a personal connection with the information you were learning?” on a scale of  1 (not at all) to 9 (extremely), “I have the impression that my learning the content from this lecture so far has been under my control” on a scale from 1 (strongly disagree) to 5 (strongly agree), and “I beli

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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  1. Your team members were interested in (a) how students were connecting with their professors and lecture content, (b) how in control students felt over their learning, and (c) how much they valued what they were learning during online lectures given the switch from in-person to virtual learning at the start of the pandemic. They collected data by briefly interrupting students at three-time points throughout an online lecture (similar to Dataset 1) to answer three different questions. They were asked “did you generate a personal connection with the information you were learning?” on a scale of  1 (not at all) to 9 (extremely), “I have the impression that my learning the content from this lecture so far has been under my control” on a scale from 1 (strongly disagree) to 5 (strongly agree), and “I believe that the content I learned from this lecture so far has been valuable for me to learn” on a scale from 1 (strongly disagree) to 5 (strongly agree). Each answer that participants provided across the three-time points was averaged so that there is only one value per person. After class, students completed a brief quiz about the information they had learned Your team thinks that personal connections are powerful for learning. They have one research question they need you to answer for this dataset: 1) Is there a correlational relationship between the average amount of personal connections students make during learning and their quiz performance? However, you think there could be more to this answer than just that given your dataset, so you decide to do some extra analyses to see if (a) students’ perceptions of control are related to whether they generate a personal connection during learning and (b) if students’ perceptions of value are related to whether they generate a personal connection.
  2. Run your analyses and post-hoc tests (if needed). (Include screenshots.)
  3. Create three plots to represent your analyses. (Include screenshots.)
PC
 
Control
 
Value
 
Class_Quiz
 
 
 
 
PC
 
CONtrol
 
Value
 
QUIZ
1
3.333333
3.500000
2.416667
0.7916667
2
2.166667
4.833333
5.000000
0.8333333
3
2.363636
4.916667
4.916667
0.5833333
4
5.142857
3.166667
3.666667
0.8111111
5
5.555556
5.000000
4.111111
0.8333333
6
6.666667
4.200000
4.200000
0.9166667
7
3.000000
2.000000
2.000000
0.0000000
8
5.916667
4.916667
5.000000
0.8875000
9
2.166667
1.583333
1.916667
0.7500000
10
4.500000
2.500000
2.500000
1.0000000
11
3.000000
4.833333
4.166667
0.6111111
12
5.333333
2.555556
4.666667
1.0000000
13
4.272727
4.000000
4.125000
0.5833333
14
5.083333
4.250000
4.666667
0.7500000
15
5.833333
4.545455
4.363636
0.7916667
16
5.714286
2.000000
3.428571
0.3888889
17
5.555556
3.888889
3.555556
0.8611111
18
2.916667
2.166667
2.666667
0.6666667
19
5.666667
3.000000
3.333333
0.9166667
20
5.000000
3.000000
3.000000
0.8333333
21
5.083333
3.750000
3.833333
0.7916667
22
6.000000
4.166667
3.000000
0.7708333
23
5.777778
4.000000
3.333333
1.0000000
24
3.333333
2.000000
2.666667
0.9166667
25
5.083333
4.000000
3.250000
0.5416667
26
2.000000
4.875000
2.375000
0.5208333
27
6.444444
3.500000
3.500000
0.9388889
28
5.500000
4.666667
3.166667
1.0000000
29
1.200000
4.750000
4.125000
0.4208333
30
4.333333
2.333333
3.166667
0.5833333
31
3.333333
3.666667
3.000000
0.8333333
32
1.833333
3.916667
3.000000
0.5708333
33
2.416667
4.083333
2.166667
0.6458333
34
5.000000
3.000000
3.444444
0.6111111
35
3.111111
4.666667
3.888889
0.8333333
36
5.000000
3.000000
3.000000
0.7500000
37
7.500000
4.000000
4.833333
0.9583333
38
6.750000
4.583333
3.750000
0.9583333
39
4.166667
3.666667
3.166667
0.7916667
40
3.000000
5.000000
3.375000
0.3888889
41
5.166667
1.090909
3.818182
0.8333333
42
3.777778
4.555556
3.222222
0.6666667
43
4.142857
3.000000
3.000000
0.6111111
44
9.000000
5.000000
4.333333
0.6666667
45
6.333333
5.000000
4.333333
0.8333333
46
4.428571
3.666667
3.111111
0.5277778
47
6.100000
4.222222
4.000000
0.8333333
48
2.166667
2.555556
3.111111
0.6611111
49
1.333333
2.666667
3.000000
0.4666667
50
5.000000
3.500000
4.000000
1.0000000
51
5.916667
2.363636
3.454545
0.8333333
52
1.555556
5.000000
3.200000
0.4375000
53
5.500000
3.428571
3.571429
0.6388889
54
3.000000
4.833333
4.333333
0.4166667
55
6.555556
3.625000
3.875000
0.8888889
56
4.000000
4.000000
4.500000
0.6666667
57
5.375000
4.000000
3.000000
0.8000000
58
5.111111
3.250000
3.375000
0.8333333
59
3.909091
4.833333
4.833333
0.7916667
60
4.833333
4.083333
3.250000
0.7500000
61
5.500000
4.000000
3.916667
0.7916667
62
4.666667
3.222222
3.222222
0.4444444
63
5.777778
3.444444
4.333333
0.7777778
64
6.222222
3.444444
3.777778
0.9833333
65
5.444444
4.222222
4.444444
0.9444444
66
6.363636
4.750000
4.666667
0.6666667
67
7.833333
4.181818
4.000000
0.8708333
68
5.166667
4.000000
4.000000
0.8333333
69
2.750000
5.000000
2.416667
0.3125000
70
5.545455
3.111111
3.000000
0.4166667

 

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