Question

Run a regression analysis on the following data set, where yy is the final grade in a math class and xx is the average number of hours the student spent working on math each week.

hours/week x |
Grade y |
---|---|

7 | 65.8 |

8 | 65.2 |

9 | 58.6 |

10 | 76 |

11 | 77.4 |

11 | 64.4 |

13 | 70.2 |

16 | 98.4 |

17 | 91.8 |

19 | 100 |

State the regression equation y=m⋅x+by=m⋅x+b, with constants
accurate to two decimal places.

What is the predicted value for the final grade when a student
spends an average of 12 hours each week on math?

Grade = Round to 1 decimal place.

Answer #1

from above:

Regression equation :y^=3.31x+36.70

b)

predicted value for the final grade =3.31*12+36.70 =
**76.4**

Run a regression analysis on the following data set, where yis
the final grade in a math class and xis the average number of hours
the student spent working on math each week.
hours/week
x
Grade
y
5
53
5
50
8
60.2
9
60.6
9
68.6
10
68
11
64.4
11
71.4
20
100
20
100
State the regression equation y=m⋅x+b, with constants accurate to
two decimal places.
What is the predicted value for the final grade when a...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
74.1
53.3
81.3
65.5
64.4
79
102.4
35.8
73
59.4
45.4
110.1
66.4
84.9
73.8
70
52
97.5
70.2
86.9
91.1
43.3
Predict what value (on average) for the response variable will
be obtained from a value of 62.2 as the explanatory variable. Use a
significance level of α=0.05α=0.05 to assess the strength of the
linear correlation.
What is the predicted...

A study was conducted to determine whether a final grade of a
student in an introductory psychology course is linearly related to
his or her performance on the verbal ability test administered
before college entrance. The verbal scores and final grades for 10
students are shown in the table below.
Student
Verbal Score xx
Final Grade yy
1
51
62
2
27
36
3
54
63
4
50
56
55
62
76
66
48
56
7
35
40
8
61...

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
0
1
2
3
4
5
6
7
8
9
Final grade, y
88.6
85.7
82.6
80.1
77.177.1
72.672.6
63.2
67.4
64.4
61.4
(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 regression model is used to predict a student's
grade in their final test:
Grade = B0 + B1 Study Hours +
B2 Sleep Hours + B3 Tutoring + e
Where:
Grade = score on test out of 100
StudyHours = hours studied in the week before the test
SleepHours = hours slept the night before the test
Tutoring = whether of not the student went to tutoring before
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A...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
31
131.5
32.7
88.1
45.9
52.1
51.8
47
65.8
30.1
58.4
36.4
84.5
-92.1
25.3
103.4
49.8
37.5
4.6
127.3
46.6
32.1
75.2
-12.4
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
28.8
90.1
30.6
139.6
12.6
42.2
18.1
94.8
13.9
28.5
31.9
102.4
-3.9
-13.4
16.7
57.1
11
55.8
16.8
76.3
31.7
80.1
43.5
123.8
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
48
41.8
39.2
67.4
34.7
68.4
42.9
50.2
49
50.6
45.6
57
58.7
29.7
40.5
68.4
47.4
34.7
45.7
50.9
38.9
47.7
40.9
53.6
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
81.1
86
77.5
60.4
92.7
126.5
104
132.5
85
53.1
64.3
95.5
64.6
31.7
39.7
5.7
82.3
121.3
82.4
98.2
29.2
-50.2
34.2
-1
Find the correlation coefficient and report it accurate to three
decimal places.
r =
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a
percentage...

Run a regression analysis on the following bivariate set of data
with y as the response variable.
x
y
51.3
17.4
60.8
88.6
37.4
32.9
44.6
53.4
53.7
53.6
52.2
41.5
32.7
28.6
62.4
84.7
47.4
35.7
39.8
33.7
62.1
123
62
83.7
Find the correlation coefficient and report it accurate to three
decimal places.
r = _______
What proportion of the variation in y can be explained by
the variation in the values of x? Report answer as a...

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