Question
In: Statistics and Probability
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.
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 89.0 | 86.1 | 83.0 | 80.5 | 77.4 | 73.0 | 63.3 | 67.8 | 64.8 | 61.8 |
(a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the response variable.
(b) Interpret the slope and y-intercept, if appropriate.
(c) Predict the final grade for a student who misses two class periods and compute the residual. Is the observed final grade above or below average for this number of absences?
(d) Draw the least-squares regression line on the scatter diagram of the data.
(e) Would it be reasonable to use the least-squares regression line to predict the final grade for a student who has missed 18 class periods? Why or why not?
Solutions
orchestra answered 1 year agoRelated Solutions
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.
Number of absences, x
Final grade, y
0
88.5
1
85.6
2
82.5
3
79.9
4
76.9
5
72.4
6
62.6
7
67.1
8
64.1
9
61.1
(a) Find the least-squares regression line treating the number
of absences, x, as the explanatory variable and the final grade,
y, as...
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
00
11
22
33
44
55
66
77
88
99
Final grade, y
88.188.1
85.285.2
82.282.2
79.879.8
76.876.8
72.372.3
62.862.8
67.267.2
64.364.3
61.461.4
(a) Find the least-squares regression line treating the number
of absences, x, as the explanatory variable and the final grade,
y, as...
The following data represent the number of days absent (x) and the final grade (y) for...
The following data represent the number of days absent (x) and
the final grade (y) for a sample of college students in a
statistics course at a large university.
Number of absences (x):
0
1
2
3
4
5
6
7
8 9
Final grade
(y):
89.2 86.4 83.5
81.1 78.2 73.9
64.3 71.8 65.5 66.2
Draw a scatter diagram on graph paper. The number of days
absent is the explanatory variable and the final grade is the
response variable....
The following data represent the number of days absent (x) and the final grade (y) for...
The following data represent the number of days absent (x) and
the final grade (y) for a sample of college students in a
statistics course at a large university.
Number of absences (x): 0 1 2 3 4 5 6 7 8 9
Final grade (y): 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5
66.2
a) Draw a scatter diagram on graph paper. The number of days
absent is the explanatory variable and the final grade is the
response...
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.
Click
the icon to view the absence count and final exam score
data.
Absences and Final
Exam Scores
No. of
absences, x
0
1
2
3
4
5
6
7
8
9
Final
exam
score,
y
88.3
87.3
84.2
80.9
77.6
73.8...
The following data represent the number of days absent per year in a population of six...
The following data represent the number of days absent per year
in a population of six employees in a small company: 1 3 6 7 9
10
a. Compute the population mean.
b. Compute the population standard deviation.
c. Assuming that you sample without replacement, select all
possible samples of size n=2 and construct the sampling
distribution of the mean.
d. Compute the mean of all the sample means. How does the mean
of the sample means and the population...
7. The following data represent the number of workdays absent during the past year, y, and...
7. The following data represent the number of workdays absent
during the past year, y, and the number of years employed by the
company x, for seven employees randomly selected from a large
company. Assume data is normally distributed.
Y 2 0 5 6 4 9 2
X 7 8 2 3 5 3 7
The slope estimate (b1) was found to be = -1.09 That is:
b 1= nExy - (Ex) (EY)
---------------------------- = - 1.09
nEx2 - (EX)2...
The accompanying data show the number of hours, x, studied for and the grade received, y...
The accompanying data show the number of hours, x,
studied for and the grade received, y (y is
measured in tens; that is, y = 8 means that the grade,
rounded to the nearest 10 points, is 80).
x
2
3
3
4
5
5
5
6
6
6
6
7
7
7
8
y
5
5
7
5
6
7
8
6
9
8
7
9
10
8
9
(a) Use the given scatter diagram to estimate r for...
1. Data on ICU hospitalization (X) and number of death (Y) for 5 days due to...
1. Data on ICU hospitalization (X) and number of death (Y) for 5
days due to COVID-19 is given.
Date
In ICU (X)
Death (Y)
04/25
50
21
04/26
80
35
04/27
87
31
04/28
92
45
04/29
118
50
Total
427
182
Find estimate βˆ1β^1
2. Data on ICU hospitalization (X) and number of death (Y) for 5
days due to COVID-19 is given.
Date
In ICU (X)
Death (Y)
04/25
50
21
04/26
80
35
04/27
87
31
04/28...
1. T The following data represents the number of days absent from school in one school...
1. T The following data represents the
number of days absent from school in one school year for a sample
of 40 students in Ms. Jinn’s fourth grade class.
0
1
2
2
2
4
5
5
7
7
7
7
8
8
8
8
8
8
10 10
12
12 12
13
14
...
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