Question
In: Statistics and Probability
The following data gives the number of hours 10 students spent studying and their corresponding grades...
The following data gives the number of hours 10 students spent studying and their corresponding grades on their midterm exams.
Hours Spent Studying 0 0.5 1 2 2.5 3.5 4 5 5.5 6
Midterm Grades 63 72 75 78 81 84 87 90 93 96
Step 1 of 3: Draw a scatter plot of the given data
Step 2 of 3: Estimate the correlation in words: positive, negative, no correlation.
Step 3 of 3: Calculate the correlation coefficient, r. Round your answer to three decimal places.
Solutions
Expert Solution
From the scatterplot obtained in part 1 we can say that there is a positive correlation between hours spent for studying(x) and midterm grades(y). As with increasing value of x the value of y also increases.
The correlation coefficient r is given by r = 0.979
The R code and output are given below along with the scatterplot
orchestra answered 1 year agoRelated Solutions
The following data gives the number of hours 10 students spent studying and their corresponding grades...
The following data gives the number of hours 10 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0
0.5
1
2
2.5
3
4
4.5
5
5.5
Midterm Grades
60
63
75
81
84
87
90
93
96
99
Determine if r is statistically significant at the 0.01
level.
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...
The following data gives the number of hours 5 students spent studying and their corresponding grades...
The following data gives the number of hours 5 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0
1
2
4
5
Midterm Grades
69
72
75
84
93
Copy Data
Step 1 of 3: Calculate the coefficient of determination, R2.
Round your answer to three decimal places.
Step 2 of 3: Determine if r if statistically significant at the
0.01 level. (a) Yes (b) No
Step 3 of 3: Calculate the coefficient of...
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 midterm exams.
Hours Spent Studying 1 1.5 3 3.5 4 4.5 5.5 Midterm Grades 60 63 75
78 84 87 93 Step 2 of 3 : Determine if r is statistically
significant at the 0.01 level.
The following data give the number of hours 10 students spent studying and their corresponding grades...
The following data
give the number of hours 10 students spent studying and their
corresponding grades on their midterm exams.
Hours Studying
0
0.5
1
1.5
3
3
3.5
4
4
5.5
Midterm Grades
63
63
67
69
71
72
73
73
81
89
A. Calculate the sum
of squared errors (SSE). Use the values b0=61.3521 and b1=4.1338
for the calculations. Round your answer to three decimal
places.
B. Calculate the
estimated variance of errors, s2e. Round your answer to...
The following data give the number of hours 10 students spent studying and their corresponding grades on their midterm exams
The following data give the number of hours 10 students spent studying and their corresponding grades on their midterm examsStep 1 of 5:Calculate the sum of squared errors (SSE). Use the values
b0=58.4077b0=58.4077 and b1=6.6860b1=6.6860 for the calculations.
Round your answer to three decimal places.Step 2 of 5:Calculate the estimated variance of errors, s2ese2. Round your
answer to three decimal places.Step 3 of 5:Calculate the estimated variance of slope, s2b1sb12. Round your
answer to three decimal places.Step 4 of 5:Construct...
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 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
3
5
6
Grades
74
86
87
96
98
Step 1 of 5 : Calculate the sum of squared
errors (SSE). Use the values b0=76.2307b0=76.2307 and
b1=3.7404b1=3.7404 for the calculations.
Step 2 of 5 : Calculate the estimated variance
of errors, s^2e. .
Step 3 of 5 : Calculate the estimated variance
of slope, s^2b1 ....
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
0
1
3
4
6
Midterm Grades
73
78
85
90
93
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values
b0=74.2456 and b1=3.4123 for the calculations. Round your answer to
three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s2e . Round your
answer to three decimal places....
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