Question

T

The following indicates the number of hours that Johnny spent
studying the week before each exam in his classes along with the
corresponding exam scores:

Hours
Studying: 4 5 8 12 15 19

Score on Exam: 54 49
60 70 81 94

Find and interpret the coefficient of determination.

a) 0.9861; There is a strong positive relationship between the variables.

b) 0.9724; Approximately 97% of the variation in exam score is explained by the LSRL.

c) 0.9724; There is a strong positive relationship between the variables.

d) 0.9861; Approximately 99% of the variation in exam score is explained by the LSRL.

e) −0.9861; There is a strong negative relationship between the variables.

Answer #1

Solution :

X | Y | XY | X^2 | Y^2 |

4 | 54 | 216 | 16 | 2916 |

5 | 49 | 245 | 25 | 2401 |

8 | 60 | 480 | 64 | 3600 |

12 | 70 | 840 | 144 | 4900 |

15 | 81 | 1215 | 225 | 6561 |

19 | 94 | 1786 | 361 | 8836 |

n | 6 |

sum(XY) | 4782.00 |

sum(X) | 63.00 |

sum(Y) | 408.00 |

sum(X^2) | 835.00 |

sum(Y^2) | 29214.00 |

Numerator | 2988.00 |

Denominator | 3030.12 |

r | 0.9861 |

r square | 0.9724 |

Xbar(mean) | 10.5000 |

Ybar(mean) | 68.0000 |

SD(X) | 5.3774 |

SD(Y) | 15.6525 |

b | 2.8703 |

a | 37.8617 |

r = 0.9861

a) 0.9861; There is a strong positive relationship between the variables.

The following indicates the number of hours that Johnny spent
studying the week before each exam in his classes along with the
corresponding exam scores:
Hours
Studying: 4 5 8 12 15 19
Score on Exam: 54 49
60 70 81 94
Find and interpret the correlation coefficient.
a) −0.9861; There is a strong negative relationship between the
variables.
b) 0.9861; There is a strong positive relationship between the
variables.
c) 0.9724; Approximately 97% of the variation in exam score is
explained by the LSRL.
d) 0.9861; Approximately 99% of...

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
Step 3 of 3 : Calculate the coefficient of determination, r2.
Round your answer to three decimal places.

The following data gives the number of hours 7 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0.5
1
1.5
2
3
4.5
5.5
Grades
66
72
81
84
90
96
99
Copy Data
Step 3 of 3 :
Calculate the coefficient of determination, r2r2. Round your
answer to three decimal places.
Answer
How to enter your answer
Tables Keypad

The table below gives the number of hours five randomly selected
students spent studying and their corresponding midterm exam
grades. Using this data, consider the equation of the regression
line, yˆ=b0+b1x, for predicting the midterm exam grade that a
student will earn based on the number of hours spent studying. 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...

The table below gives the number of hours five randomly selected
students spent studying and their corresponding midterm exam
grades. Using this data, consider the equation of the regression
line, yˆ=b0+b1x, for predicting the midterm exam grade that a
student will earn based on the number of hours spent studying. 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...

The following data gives the number of hours 77 students spent
studying and their corresponding grades on their exams.
Hours Spent Studying
0
1.5
2.5
3
4.5
5
6
Grades
63
72
78
81
87
90
93
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 0.05
level
Step 3 of 3:
Calculate the coefficient of determination, r2. Round your
answer...

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

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.

The following data gives the number of hours 5 students spent
studying and their corresponding grades on their midterm exams.
Hours Spent Studying
0
2
3
4
6
Midterm Grades
63
66
81
84
93
Step 1 of 3: Calculate the coefficient of determination, R^2.
Round your answer to three decimal places.
Step 2 of 3: Compute the mean square error (s2e) for the model.
Round your answer to four decimal places.
Step 3 of 3: Compute the standard error...

The table below gives the number of hours five randomly selected
students spent studying and their corresponding midterm exam
grades. Using this data, consider the equation of the regression
line, yˆ=b0+b1x, for predicting the midterm exam grade that a
student will earn based on the number of hours spent studying. 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...

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