Question
The following table number of absences (x) and the grade earned on the first exam (y)...
The following table number of absences (x) and the grade earned on the first exam (y) for a Statistics class.
x: 3, 5, 2, 6, 5, 8
y: 90, 76, 91, 54, 84, 56
The least-squares regression line is in the form y = b_0 + b_1 x. Compute the value of b_0. That is, compute the intercept. Write only a number as your answer.
Homework Answers
Answer #1
| X | Y | X * Y | X2 | Y2 | |
| 3 | 90 | 270 | 9 | 8100 | |
| 5 | 76 | 380 | 25 | 5776 | |
| 2 | 91 | 182 | 4 | 8281 | |
| 6 | 54 | 324 | 36 | 2916 | |
| 5 | 84 | 420 | 25 | 7056 | |
| 8 | 56 | 448 | 64 | 3136 | |
| Total | 29 | 451 | 2024 | 163 | 35265 |
Equation of regression line is Ŷ = a + bX
b = -6.825 
- 7
a =( Σ Y - ( b * Σ X) ) / n
a =( 451 - ( -6.8248 * 29 ) ) / 6
a = 108.153 108
Equation of regression line becomes Ŷ = 108.1533 - 6.8248
X
Intercept a = 108.153
108
Not the answer you're looking for?
Similar Questions
Question 5 Blood pressure measurements consist of two numbers, the systolic pressure and the diastolic pressure....
Question 5
Blood pressure measurements consist of two numbers, the
systolic pressure and the diastolic pressure. Subjects taking an
experimental blood pressure medicine had the following
measurements:
Systolic 134 115 113 123 119 118
Diastolic 70 83 77 77 69 75
Compute the correlation coefficient. Round your answer to
three decimal places. Write only a number as your answer.
Question 6
The following table presents the test scores on the first (x)
and second (y) exams in a Biology class....
The following table lists the ages for a sample of couples on a vacation cruise. x:...
The following table lists the ages for a sample of couples on a
vacation cruise.
x: 45, 54 45, 55, 59, 49
y: 51, 49, 46, 64, 69, 55
The least-squares regression line is in the form y = b_0 +_ b_1
x. Compute the value of b_1. That is, compute the slope. Write only
a number as your answer.
The accompanying data represent the number of days absent, x, and the final exam score, y,...
The accompanying data represent the number of days absent, x,
and the final exam score, y, for a sample of college students in a
general education course at a large state university. Complete
parts (a) through (e) below.
Absences and Final Exam Scores
No. of absences, x
0
1
2
3
4
5
6
7
8
9
Final exam score, y
89.6
87.3
83.4
81.2
78.7
74.3
64.5
71.1
66.4
65.6
Critical Values for Correlation Coefficient
n
3
0.997
4...
The table below gives the number of absences and the overall grade in the class for...
The table below gives the number of absences and the overall
grade in the class for five randomly selected students. Based on
this data, consider the equation of the regression line, yˆ=b0+b1x,
for using the number of absences to predict a student's overall
grade in the class. Keep in mind, the correlation coefficient may
or may not be statistically significant for the data given.
Remember, in practice, it would not be appropriate to use the
regression line to make a...
The data below represent the number of days absent, x, and the final grade, y, for...
The data below represent the number of days absent, x, and the
final grade, y, for a sample of college students at a large
university. Complete parts (a) through (e) below.
No. of absences, x
0
1
2
3
4
5
6
7
8
9
Final grade, y
88.6
85.7
82.6
80.1
77.177.1
72.672.6
63.2
67.4
64.4
61.4
(a) Find the least-squares regression line treating the number
of absences, x, as the explanatory variable and the final grade,
y, as...
On the first statistics exam, the coefficient of determination between the hours studied and the grade...
On the first statistics exam, the coefficient of determination
between the hours studied and the grade earned was 90%. The
standard error of estimate was 7. There were 15 students in the
class.
Develop an ANOVA table. (Round the final answers to the
nearest whole number.)
Source
df
SS
MS
Regression
1
?
?
Residual
13
?
?
Total
14
?
During a outdoor yoga class, the temperature (?) and the number of absences (?) on 9...
During a outdoor yoga class, the temperature (?) and the number
of absences (?) on 9 randomly selected days are recorded. Find the
equation of the least squares regression line for the data
below.
Temp. (?) 72 85 91 90 88 98 75 100 80
Absences (?) 4 8 11 12 9 15 3 18 5
(A) ? ̂ = −35.087 + 0.514?
(B) ? ̂ = 0.514 − 35.087?
(C) ? ̂ = 69.209 + 1.837?
(D) ? ̂...
The data below are the number of hours slept the night before the test and the...
The data below are the number of hours slept the night before
the test and the test scores of 9 randomly selected statistics
students.
Number of Absences, x
3
5
7
9
7
6
2
8
6
Test Grade %, y
62
71
80
82
93
65
51
89
54
a) Find the linear correlation coefficient, rounded to the
nearest ten-thousandth (4 decimal places).
b) Find the equation of the least-squares regression line. Round
your values to the nearest ten-thousandth...
Question 13 Use this problem for #13-16. Dr. Armstrong thinks that a student's final grade is...
Question 13
Use this problem for #13-16.
Dr. Armstrong thinks that a student's final grade is related to
his/her number of absences. She took a sample of 9 students and
found their number of absences and their final grades.
Number of absences x
0
1
2
2
3
3
4
5
6
Final grade y
96
91
78
83
75
62
70
68
56
The correlation coefficient is .912.
True
False
Question 14
The equation for the regression line is...
Suppose that the following frequency table contains data on the number of absences in a school...
Suppose that the following frequency table contains data on the
number of absences in a school year due to illness or injury for 80
randomly selected high school students. Use the table to determine
the median number of absences for these 80 students. Provide your
answer with precision to one decimal place.
Number of absences
Frequency
0
20
1
9
2
11
3
8
4
5
5
10
6
4
7
3
8
3
9
1
10
3
11
3...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 2 minutes ago
asked 17 minutes ago
asked 17 minutes ago
asked 18 minutes ago
asked 29 minutes ago
asked 33 minutes ago
asked 52 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 2 hours ago
asked 2 hours ago
asked 2 hours ago