Question

Mid Score |
Final Score |

80 | 78 |

87 | 85 |

72 | 81 |

69 | 54 |

86 | 70 |

83 | 73 |

78 | 89 |

75 | 84 |

74 | 86 |

75 | 79 |

84 | 75 |

73 | 63 |

74 | 72 |

73 | 69 |

80 | 86 |

75 | 78 |

72 | 75 |

77 | 68 |

76 | 77 |

66 | 78 |

74 | 77 |

71 | 73 |

85 | 79 |

74 | 74 |

76 | 79 |

76 | 73 |

84 | 72 |

77 | 81 |

78 | 86 |

86 | 76 |

81 | 83 |

78 | 83 |

85 | 86 |

73 | 71 |

83 | 83 |

83 | 79 |

72 | 68 |

83 | 90 |

84 | 89 |

73 | 83 |

86 | 81 |

76 | 79 |

58 | 58 |

73 | 77 |

81 | 85 |

72 | 67 |

77 | 70 |

82 | 79 |

64 | 59 |

79 | 74 |

79 | 86 |

82 | 85 |

75 | 79 |

78 | 81 |

58 | 31 |

80 | 82 |

68 | 70 |

73 | 69 |

Y= 1.014 X + -1.557

*R*^{2} 0.4299

**e)**
Calculate the degrees of freedom and *t*-critical for a
two-tailed *t* test for zero slope at α = .05.
**(Round your answers to 2 decimal places.)**

Degrees of Freedom ____________ **<----- Need this
number**

*t -* critical ± 2

Answer #1

e). The degrees of freedom **=56**

The*t*-critical for a two-tailed *t* test for zero
slope at α = .05. is **2.0032.**

(The degrees of freedoms for the t-test is the same df as that of Error SS in Regression ANOVA given below:

ANOVA | ||||||||

df | SS | MS | F | Significance F | ||||

Regression | 1 | 2385.545 | 2385.545 | 42.22124 | 2.33E-08 | |||

Residual | 56 | 3164.059 | 56.50105 | |||||

Total | 57 | 5549.603 | ||||||

Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | Lower 95.0% | Upper 95.0% | |

Intercept | -1.55681 | 12.00042 | -0.12973 | 0.897245 | -25.5965 | 22.48292 | -25.5965 | 22.48292 |

Mid | 1.013787 | 0.15602 | 6.497788 | 2.33E-08 | 0.70124 | 1.326333 | 0.70124 | 1.326333 |

Use ? to approximate σ. Use a 5% level of significance.
Data:
69
62
75
66
68
57
61
84
61
77
62
71
68
69
79
76
87
78
73
89
81
73
64
65
73
69
57
79
78
80
79
81
73
74
84
83
82
85
86
77
72
79
59
64
65
82
64
70
83
89
69
73
84
76
79
81
80
74
77
66
68
77
79
78
77

TestScore
53
53
56
56
56
58
58
58
59
59
59
60
60
62
63
63
63
64
65
65
66
67
67
67
67
68
69
69
69
69
71
71
72
72
72
72
73
73
73
73
73
74
75
75
75
76
76
76
76
77
77
77
77
77
78
78
78
79
79
79
79
80
80
80
80
80
80
81
81
81
82
82
83
83
83
83
84
84
84...

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...

Question 1: Table 1 shows the number of customers visited by a
salesman over an 80-week period. Table 1: Customers Visited Over an
80-Week Period 68 64 75 82 68 60 62 88 76 93 73 79 88 73 60 93 71
59 85 75 61 65 75 87 74 62 95 78 63 72 66 78 82 75 94 77 69 74 68
60 96 78 89 61 75 95 60 79 83 71 79 62 67 97 78...

Test score of 40 students are listed below. Find the percentile for
the test score of 66.
30 35 43 44 47 48 54 55 56 57
59 62 63 65 66 68 69 69 71 72
72 73 74 76 77 77 78 79 80 81
81 82 83 85 89 92 93 94 97 98

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...

72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27 (i)
Use a calculator with sample mean and standard deviation keys to
find x and s. (Round your answers to two decimal places.) x = yr s
= yr

Is there a significant difference in nighttime July temperatures
across the three types of locations: urban, suburban, and rural?
Use the 0.05 level of significance?
Urban
Suburban
Rural
82
75
71
84
77
69
88
78
74
85
79
72
85
76
74
81
77
70
86
72
68
83
80
74
Average
84.25
76.75
71.5
Grand Mean
77.5

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...

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...

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