Question

The following data were collected to study a relationship between time spent for training and an aptitude test score. (X = months spent for training, Y = test score).

X |
1 |
3 |
5.5 |
2 |
3.5 |
5 |
6 |
7 |

Y |
2.5 |
4.5 |
6.7 |
3.5 |
4 |
5.2 |
6.5 |
6.8 |

- Plot the data on a scatter diagram. Does it suggest positive/negative relationship?
- Find the sample correlation coefficient and test its significance.
- Write an equation of the regreesion line.
- Estimate the value of the test score corresponding to X = 4 months.

Answer #1

any query, please ask...if helpful rate positive

The following data gives the number of hours 10 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0.5
1
1.5
2
2.5
3
4.5
5
5.5
6
Grades
60
63
69
72
75
78
87
93
96
99
Step 1 of 3:
Draw a scatter plot of the given data.
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...

The following data gives the number of hours 10 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0
0.5
1.5
2.5
3
3.5
4
4.5
5
5.5
Grades
60
66
69
75
78
81
84
90
93
96
Copy Data
Step 2 of 3:
Estimate the correlation in words: positive, negative, no
correlation.
Calculate the correlation coefficient, r. Round your answer to
three decimal places.

Simple regression analysis
The following data were collected to study the relationship between
the sale price, y and the total appraised value, x, of a
residential property located in an upscale neighborhood.
Property
x
y
x2
y2
xy
1
2
2
4
4
4
2
3
5
9
25
15
3
4
7
16
49
28
4
5
10
25
100
50
5
6
11
36
121
66
Draw a scatter diagram of the sale price and the total appraised...

The following data gives the number of hours 10 students spent
studying and their corresponding grades on their midterm exams.
Calculate the
correlation coefficient, r. Round your answer to three decimal
places.
Hours Spent Studying
0.5
1.5
2
2.5
3
3.5
4
4.5
5
5.5
Midterm Grades
63
66
69
72
75
81
84
90
96
99

In a study of whether a relationship exists between a child’s
aptitude and the age at which he/she first speaks, researchers
collected a random sample of 150 children and recorded the age (in
months) of a child’s first speech (x variable) and the child’s
score on an aptitude test (y-variable) The data were then used to
create a regression equation in which the slope was calculated to
be -1.25 and the y-intercept was calculated to be 109. What would
you...

The following data gives the number of hours 7 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying (x) 0.5 1 2.5 3 4 5 5.5
Midterm Grades (y) 66 69 75 78 90 93 96
Determine the correlation between hours spent studying and
midterm grades.
a) positive correlation b) negative correlation c) no
correlation

A farmer assumes that there is a linear relationship between the
amount of fertilizers supplied to potato plants and the subsequent
yield of potatoes obtained.
eight potato plants, of the same variety, were selected at
random and treated, weekly, with a solution in which x grams of
fertilizer was dissolved in a fixed quantity of water. The yield, y
kilograms, of potatoes was recorded.
Plant
A
B
C
D
E
F
G
H
x
1.0
1.5
2.0
2.5
3.0
3.5...

The following data gives the number of hours 77 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0.5
1
2.5
4
4.5
5.5
6
Midterm Grades
60
63
72
81
84
90
99
Copy Data
Step 1 of 3 :
Calculate the correlation coefficient, r. Round your answer to
six decimal places.

The following data gives the number of hours 10 10 students
spent studying and their corresponding grades on their midterm
exams.
Hours Spent Studying
0.5 0.5
1 1
1.5 1.5
2.5 2.5
3 3
3.5 3.5
4 4
4.5 4.5
5 5
6 6
Midterm Grades
66 66
72 72
75 75
78 78
81 81
87 87
90 90
93 93
96 96
99 99
Copy DataHours Spent Studying Midterm Grades 0.5 66 1 72 1.5 75
2.5 78...

The following data gives the number of hours 7 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0.5
1
1.5
2.5
3.5
4
4.5
Midterm Grades
69
72
75
81
84
90
96
Copy Data
Step 1 of 3 :
Calculate the correlation coefficient, r. Round your answer to
six decimal places.

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