Linear Regression

S

sturae

THE DATA ARE THE PERCENTAGE EXAMINATION MARKS (Y) AND TH
PERCENTAGE
ATTENDANCE AT CLASSES (X) FOR A GROUP OF 40 STUDENTS,

PERFORM A LINEAR REGRESSION OF Y ON X AND USE THIS TO DETERMINE TH
FOLLOWING
AMOUNTS.

INTERCEPT (a) 12.60463992
GRADIENT (b) 0.699961906
PREDICTED VALUE OF Y WHEN X = 60%
PREDICTED VALUE OF Y WHEN X = 0%
CORRELATION COEFFICIENT 0.81440364
COEFFICIENT OF DETERMINATION
ESTIMATED ATTENDANCE WHEN MARK = 50%

MARK % ATTENDANCE % WORKING AREA IF NEEDED
45 48
55 40
65 90
89 90
100 100
20 5
35 15
25 10
45 50
55 45
69 80
75 70
86 80
79 85
25 12
10 89
0 2
56 70
68 80
78 80
50 60
45 55
90 85
100 95
95 80
75 90
40 85
20 10
25 15
30 20
0 10
50 60
40 67
57 89
68 78
58 60
30 20
21 12
25 25
78 9
 
R

Ron Rosenfeld

Look in HELP for the following functions:

LINEST
TREND
FORECAST

and also look at some of the other statistical functions.

That should provide all the information you need for your assignment.





THE DATA ARE THE PERCENTAGE EXAMINATION MARKS (Y) AND THE
PERCENTAGE
ATTENDANCE AT CLASSES (X) FOR A GROUP OF 40 STUDENTS,

PERFORM A LINEAR REGRESSION OF Y ON X AND USE THIS TO DETERMINE THE
FOLLOWING
AMOUNTS.

INTERCEPT (a) 12.60463992
GRADIENT (b) 0.699961906
PREDICTED VALUE OF Y WHEN X = 60%
PREDICTED VALUE OF Y WHEN X = 0%
CORRELATION COEFFICIENT 0.81440364
COEFFICIENT OF DETERMINATION
ESTIMATED ATTENDANCE WHEN MARK = 50%

MARK % ATTENDANCE % WORKING AREA IF NEEDED
45 48
55 40
65 90
89 90
100 100
20 5
35 15
25 10
45 50
55 45
69 80
75 70
86 80
79 85
25 12
10 89
0 2
56 70
68 80
78 80
50 60
45 55
90 85
100 95
95 80
75 90
40 85
20 10
25 15
30 20
0 10
50 60
40 67
57 89
68 78
58 60
30 20
21 12
25 25
78 90

--ron
 

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