Question
In: Statistics and Probability
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.
- Compute the linear correlation coefficient, r. Interpret your answer.
- Compare │r│ to rcritical to determine if a linear relation exists between x and y.
- Find an equation, the least squares regression line, that best fits your data.
- Accurately draw the least squares regression line on your scatter diagram from part (a). Be sure to identify your plotted points.
- Interpret the slope and the y-intercept.
- Compute the final grade using your least squares regression equation for a student who misses 5 classes. Now find the residual.
- Use your graph to predict the final grade of a student who misses 10 classes.
- Determine and interpret the coefficient of determination, R2.
MUST SHOW WORK AND FORMULAS PLEASE
Solutions
orchestra answered 2 years agoRelated Solutions
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 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 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...
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...
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
...
Run a regression analysis on the following data set, where y is the final grade in...
Run a regression analysis on the following data set, where y is
the final grade in a math class and x is the average number of
hours the student spent working on math each week.
Hours/week
x
Grade
y
5
61
5
55
8
65.2
8
59.2
10
67
11
65.4
15
84
18
94.2
18
100
20
100
State the regression equation y = m ⋅ x + b, with constants
accurate to two decimal places.
What is the...
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...
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