Regression The data below are claimed to relate to four experiments, which were conducted with the objective of investigating the effect of the value of a variable x on the associated value of a variable y. In each experiment the same values of x were used: thus only one column of x- values is given, while there are four columns of y-values, one for each experiment. X у1 Y2 Y3 y4 10-0 21-26 22.40 20-70 22.94 8.0 20-57 21-84 20-43 19-85 13.0 20-15 21-35 25-31 19-65 9.0 22-28 22.15 20-56 20-25 11.0 21-36 22-27 20-80 22.38 14-0 22.30 20-43 21-19 23-84 6.0 21-35 20-25 20-21 20-55 4-0 18-81 17.66 19.90 19.53 12-0 7-0 5.0 23-63 21-90 20-95 21-55 18-73 21.15 20-31 19-72 20-01 19.05 20-09 20-19 ... For each set of data: (i) obtain the equation of the least squares regression line of y on x; (ii) plot the data, and comment on the results.

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Regression
The data below are claimed to relate to four experiments, which were conducted with the
objective of investigating the effect of the value of a variable x on the associated value of a
variable y. In each experiment the same values of x were used: thus only one column of x-
values is given, while there are four columns of y-values, one for each experiment.
X
y1
32
y3
y4
10.0
21-26
22.40
20-70
22.94
8.0
20-57
21-84 20-43
19-85
13.0
20-15 21-35
25-31
19.65
9.0
22-28 22.15 20-56
20-25
11-0
21.36 22-27
20-80
22-38
14.0
22.30 20-43 21.19 23-84
6.0
21-35 20-25 20-21
20-55
4.0
18.81 17-66
19.90
19.53
12-0
7-0
5.0
23-63 21.90 20-95 21.55
18.73 21.15 20-31 19.72
20-01 19-05 20-09 20-19
For each set of data:
(i) obtain the equation of the least squares regression line of y on x;
(ii) plot the data, and comment on the results.
Transcribed Image Text:Regression The data below are claimed to relate to four experiments, which were conducted with the objective of investigating the effect of the value of a variable x on the associated value of a variable y. In each experiment the same values of x were used: thus only one column of x- values is given, while there are four columns of y-values, one for each experiment. X y1 32 y3 y4 10.0 21-26 22.40 20-70 22.94 8.0 20-57 21-84 20-43 19-85 13.0 20-15 21-35 25-31 19.65 9.0 22-28 22.15 20-56 20-25 11-0 21.36 22-27 20-80 22-38 14.0 22.30 20-43 21.19 23-84 6.0 21-35 20-25 20-21 20-55 4.0 18.81 17-66 19.90 19.53 12-0 7-0 5.0 23-63 21.90 20-95 21.55 18.73 21.15 20-31 19.72 20-01 19-05 20-09 20-19 For each set of data: (i) obtain the equation of the least squares regression line of y on x; (ii) plot the data, and comment on the results.
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