Question
In: Statistics and Probability
The following indicates the number of hours that Johnny spent studying the week before each exam...
The following indicates the number of hours that Johnny spent
studying the week before each exam in his classes along with the
corresponding exam scores:
Hours
Studying: 4 5 8 12 15 19
Score on Exam: 54 49
60 70 81 94
Find the residual corresponding to the explanatory value of 8.
a) 69.8263
b) −0.82
c) −69.8263
d) −126.34
e) 0.82
Solutions
Expert Solution
The statistical software output for this problem is:
Hence,
Actual value = 60
Predicted value = 60.82
Therefore,
Residual = Actual - Predicted = 60 - 60.82 = -0.82
Option B is correct.
orchestra answered 1 year agoRelated Solutions
The number of hours spent studying by students on a large campus in the week before...
The number of hours spent studying by students on a large campus
in the week before the final exams follows a normal distribution
with standard deviation of 8.4 hours. A random sample of these
students is taken to estimate the population mean number of hours
studying.
a. How large a sample is needed to ensure that the probability
that the sample mean differs from the population mean by more than
2.0 hours is less than 0.05?
b. Without doing the...
A study was conducted to determine if the number of hours spent studying for an exam...
A study was conducted to determine if the number of hours spent
studying for an exam is associated with the exam score. The
following are the observations obtained from a random sample of 5
students:
Number of Hours Spent Studying (X)
8
2
6
4
2
Exam Score (Y)
98
74
87
82
72
The average number of hours spent studying for an exam is
_____.
Part A:
A)
82.6
B)
22
C)
4.4
D)
413
The average exam score...
The number of hours 10 students spent studying for a test and their scores on that...
The number of hours 10 students spent studying for a test and
their scores on that test is represented in the table below.
Hours spent studying, x
0
2
4
5
5
5
6
7
8
9
Test scores, y
40
51
64
69
73
75
93
90
95
95
7) What amount of the variance in test score (y) do the hours
spent studying (x) account for this sample? (r2 =?) Interpret the
result in the context of the...
The number of hours 1010 students spent studying for a test and their scores on that...
The number of hours
1010
students spent studying for a test and their scores on that test
are shown in the table. Is there enough evidence to conclude that
there is a significant linear correlation between the data?
Use
alphaαequals=0.050.05.
Hours, x
00
11
22
44
44
55
55
66
77
88
Test score, y
4141
4040
5555
5656
6464
6666
7575
7878
8181
9797
LOADING...
Click here to view a table of critical values for Student's
t-distribution.
Setup...
The number of hours 10 students spent studying for a test and their scores on that...
The number of hours 10 students spent studying for a test and
their scores on that test are shown in the table. Is there enough
evidence to conclude that there is a significant linear correlation
between the data? Use alphaequals0.05.
Hours, x= 0 1 2 4 4 5 5 6 7 8 Test score, y= 41 40 51 56 65 70
76 70 84 97
1. Setup the hypothesis for the test.
2. Identify the critical value(s). Select the correct...
The number of hours 10 students spent studying for a test and their scores on that...
The number of hours 10 students spent studying for a test and
their scores on that test is represented in the table below.
Hours spent studying, x
0
2
4
5
5
5
6
7
8
9
Test scores, y
40
51
64
69
73
75
93
90
95
95
3) Describe the type of correlation and interpret the
correlation in the context of the data. Be specific in describing
the magnitude, direction, and strength of the relationship.
(12p)
4)...
The number of hours 10 students spent studying for a test and their scores on that...
The number of hours 10 students spent studying for a test and
their scores on that test are shown in the table. Is there enough
evidence to conclude that there is a significant linear correlation
between the data? Use alphaαequals= .01
X(hours) = top row; Y(score)=bottom row
0
1
2
3
4
4
5
6
7
8
41
46
52
50
65
68
75
85
82
91
Set up hypothesis test = ??
Critical Values = ??
Calculate test statistic;...
The following data give the number of hours 5 students spent studying and their corresponding grades...
The following data give the number of hours 5 students spent
studying and their corresponding grades on their midterm exams.
Hours Studying
1
1
2
3
6
Midterm Grades
65
73
74
86
91
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values
b0=65.9185 and b1=4.5698 for the calculations. Round your answer to
three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s^2e. Round your
answer to three decimal places.
Step...
The following data give the number of hours 5 students spent studying and their corresponding grades...
The following data give the number of hours 5 students spent
studying and their corresponding grades on their midterm exams.
Hours Studying
1
1
2
3
6
Midterm Grades
65
73
74
86
91
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values
b0=65.9185 and b1=4.5698 for the calculations. Round your answer to
three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s^2e. Round your
answer to three decimal places.
Step...
The following data gives the number of hours 7 students spent studying and their corresponding grades...
The following data gives the number of hours 7 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0
1
2.5
3
4
4.5
5.5
gRADES
60
69
72
75
78
81
90
Step 1 of 3:
Calculate the correlation coefficient, r. Round your answer to
six decimal places.
Step 2 of 3:
Determine if r is statistically significant at the 0.050.05
level.
Step 3 of 3:
Calculate the coefficient of determination, r2r2. Round your
answer...
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