Question

A statistics professor would like to build a model relating student scores on the first test to the scores on the second test. The test scores from a random sample of 21 students who have previously taken the course are given in the table. Test Scores Student First Test Grade Second Test Grade 1 83 59 2 53 75 3 79 65 4 90 59 5 67 67 6 63 72 7 60 69 8 58 72 9 77 66 10 72 61 11 92 58 12 94 58 13 70 68 14 90 55 15 90 56 16 55 70 17 40 79 18 74 62 19 87 55 20 79 61 21 40 74 Step 1 of 2 : Using statistical software, estimate the parameters of the model Second Test Grade=β0+β1(First Test Grade)+εi. Enter a negative estimate as a negative number in the regression model. Round your answers to 4 decimal places, if necessary

Answer #1

A statistics professor would like to build a model relating
student scores on the first test to the scores on the second test.
The test scores from a random sample of 21 students who have
previously taken the course are given in the table.
Test Scores
Student
First Test Grade
Second Test Grade
1
50
70
2
91
58
3
55
74
4
58
65
5
79
60
6
70
60
7
97
48
8
51
73
9
51
73...

Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
97...

Using the accompanying Student Grades data, construct a scatter
chart for midterm versus final exam grades and add a linear
trendline. What is the model? If a student scores 7878 on the
midterm, what would you predict her grade on the final exam to
be?
Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
11...

Below represent scores on an exam, each entry one score for one
student
40
99
59
98
63
63
64
65
67
35
67
67
68
70
71
71
71
46
72
72
60
73
74
74
74
75
97
75
62
76
76
76
76
76
77
57
77
98
77
63
78
78
78
79
79
80
80
80
80
80
81
81
92
81
93
82
82
83
83
83
83
83
83
83
84
84
84...

Kuya teaches a two-trimester course in Passionate Analysis
Involving Numbers (PAIN). He would like to know if these students
improved their scores in their second trimester of the course. Is
there a significant difference in PAIN scores? Apparently a couple
students were too 'pained' and dropped out after the first
trimester (too bad so sad).
STUDENT
TRIMESTER 1
TRIMESTER 2
1
69
78
2
76
79
3
70
81
4
71
5
75
57
6
61
55
7
67
59...

Suppose a professor gives an exam to a class of 40
students and the scores are as follows. (Type the
data set in StatCrunch.)
35
44
46
47
47
48
49
51
53
54
55
55
57
57
57
58
59
59
59
59
60
60
60
60
60
62
62
62
64
68
69
70
72
73
73
75
75
77
82
88
a. Find each of the
following:
Mean:
Median:
Standard deviation:
Z-score for a student who...

The following scores represent a sample of final examination
grades for a statistics course
23 60 98 32 57 74 52 70 82 69 74 63 80 62 80 77 81 95 41 65 92
85 85 61 36 79 55 76 52 10 64 75 78 25 80 48 83 64 88 82 81 67 41
71 67 54 34 72 74 43 60 78 84 89 76 84 17 90 15 79
a) Compute the 20th percentile of...

A mathematics achievement test consisting of 100 questions was
given to 50 sixth grade students at maple Elementary School. The
following data show the number of questions answered correct by
each student.
75 48 46 65 71 49 61 51 57 49 84 85 79 85 83 55 69 88 89 55 61
72 64 67 61 77 51 61 68 54 63 94 54 53 71 84 79 75 65 50 45 65 77
71 63 67 57 63...

AM -vs- PM Test Scores: In my AM section of statistics there are
22 students. The scores of Test 1 are given in the table below. The
results are ordered lowest to highest to aid in answering the
following questions.
index 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
22
score 35 50 58 59 60 61 65 66 68 68 69 74 76 76 79 82...

The Test Scores for a Statistics course are given in the Excel
below.
The data (X1, X2, X3, X4) are for each student.
X1 = score on exam #1
X2 = score on exam #2
X3 = score on exam #3
X4 = score on final exam
Your professor wants to know if all tests are created equal.
What is the F-Stat?
EXAM1
EXAM2
EXAM3
FINAL
73
80
75
65.86667
93
88
93
80.16667
89
91
90
78
96
98...

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