# A regression problem

(10 pts)

For this problem, you're going to use this webpage to generate some random data to apply regression to. Once you have your data,

1. Tell us the formula for the regression line,
2. Tell us what $y$-value your model predicts if $x=20$,
3. Tell us the correlation, and
4. Include a plot of your data with the regression line.

## Comments

• The formula of my regression line is
y = 2.824x - 12.4086
At a x-value of 20, the y-value is equal to
(2.824*20) - 12.4068 = 44.0732
The correlation is .9867 (a very strong, positive correlation)

• My data is as follows:

x y
3.75 17.28
9.84 33.29
0.30 -0.95
-3.32 8.02
6.51 26.37
1.46 13.60
5.08 8.69
9.55 17.02
10.27 31.58
12.48 36.52
9.98 18.46
15.50 28.51
12.37 39.01
7.19 18.76

The formula for my regression line is below:
$Y_1= 1.8038 times X_1 + 8.14635$
@x=20, y= 44.2222

My coorelation is : .8056, which is a strong positive relationship

My Data plot is below: • edited April 12

My data set:

-5.86 16.89
9.54 -23.33
8.82 -23.75
7.19 -18.14
-2.11 4.27
6.90 -20.33
11.76 -25.46
2.36 -4.54
1.28 -10.40
2.15 -7.75
11.03 -22.82
5.99 -9.25
19.98 -39.04
11.52 -27.54
16.69 -25.66
16.81 -22.82
20.38 -28.91
19.77 -31.93
19.01 -38.06
19.75 -30.17
23.79 -43.23
14.68 -26.70
27.15 -48.15
22.78 -38.60
23.61 -42.81

The formula for my regression line is- y_{1}\sim mx_{1}+b

The y-value for x=20 is 72.0483663887

The correlation is 0.9936

My data plot looks like this https://www.desmos.com/calculator

• My Data Set:
x y
4.94 -14.34
2.73 -7.64
4.45 -21.23
-2.03 6.82
3.26 -11.86
10.80 -42.36
8.29 -32.58
15.67 -69.07
6.99 -26.51
5.12 -19.30
7.12 -21.22
4.66 -14.62
17.36 -78.14
18.28 -79.9

1. -4.52368 + 3.92633
2. Y=-86.5472202368, x=20
3. Correlation = -0.9911
4. • To begin, my data is as follows:
x y
5.45 2.92
2.18 -11.28
7.26 0.10
5.14 -3.77
11.35 14.06
1.69 0.48
14.22 3.72
15.72 5.26
2.14 -4.80
8.97 10.01
13.71 16.93
5.40 -0.80
10.47 6.91

My m-value is 1.18676 and my b-value is -6.40975

The formula for my regression line is as follows:
$y=1.18676x -6.40975$

My model predicts that the y-value if x=20 will be 17.3253972642

My correlation is 0.7358 (a weak, but positive correlation)

Finally, my data plot is shown below
https://www.desmos.com/calculator/4ysi4apoix

• The formula for my regression line is:
y = 1.57379x + 2.55808

The y value if x = 20:
20m + b =
(1.57379*20) + (2.55808) = 34.0338560983

Regression:
r = 0.9495, a positive correlation • My data is as follows:

x y
1.18 -2.80
0.93 2.11
-1.36 -11.59
6.38 17.46
7.41 15.26
8.48 24.03
13.78 30.58
13.57 31.64
13.51 38.76
10.29 17.60
6.51 4.28
13.65 26.57
5.32 15.64
19.45 56.57
19.50 57.11
17.33 49.35
14.44 38.92
22.73 51.95
22.52 55.36
27.98 72.58
13.20 37.67
16.79 35.28
27.97 69.40
30.37 78.93
18.72 53.35

The formula for my regression line is:
y = 2.75358 - 3.98134

At an X-Value of 20, the Y-Value would be:
Y = 51.0902987297

Regression:
.9765 1. The formula for the regression line: y~mx+b
2. y-value if your model predicts if x=20:
y=0.256271*20+-0.292431
3. Tell us the correlation: r=0.3965
4. • The formula for my regression line is below:
Y1=3.37232 × X1 + -2.47901
x=20, y= 44.2222
The correlation is .9898 • Every time I put my data into desmos it looked like this.

The formula for my regression is
Y1= 2 x X1 +1

x=20, y= 44.2222 • My data is:

x y
-4.64 28.04
0.15 -4.84
4.99 -25.13
-2.66 13.34
2.52 -7.88
13.95 -69.13
-0.77 -0.59
1.69 -5.51
9.79 -54.30
8.17 -42.39
4.13 -25.79
6.36 -27.22
19.61 -101.01
19.37 -94.03
12.83 -70.44
10.00 -44.74
10.22 -50.30
16.25 -74.89
16.74 -77.93
25.98 -118.66

My formula for regression is:
Y1=5.314*1X+4.3927

If
X=20 y=44.22
My correlation is .98

https://www.desmos.com/calculator/2yic2hhynh

• My Data set is:

x y
4.86 -18.19
9.09 -39.12
-4.01 3.45
0.05 -4.72
2.34 -17.22
-1.59 9.13
12.11 -45.26
0.37 4.07
6.90 -22.07
13.06 -46.88
5.30 -30.10
9.06 -29.27
20.45 -79.18
21.65 -89.60
9.94 -47.89

The formula for my regression line is:

y=-3.76335x + (-2.69746)

The y-value for x=20 is:

−77.9644949452

My correlation is:

-0.978

Finally, my data plot is show below as...

https://www.desmos.com/calculator/jscpqghhfc

1. Formula for my regression line:
$y = -2.6226x + 7.3615$
2. Y-value for x=20:
$-45.09$
3. The correlation:
$-0.9355$
4. Data scatter plot: • y= 3.3168x - 9.3086

x=20 y= 57.0271

r= 0.9818 • To begin, my data is as follows:

x y
5.69 15.46
-4.95-15.71
4.65 5.68
-1.70-3.49
3.46 17.42
-1.723.59
1.05 6.05
3.14 1.64
1.82 -1.74
12.2142.60
3.02 8.24
16.1751.16
9.70 27.55
7.31 22.31

My m-value is 3.05821174213 and my b-value is −0.162426626162

The formula for my regression line is as follows:
y=3.05821174213x−0.162426626162

My model predicts that the y-value if x=20 will be 61.0018082164

My correlation is 0.9567 (a strong positive correlation)

Finally, my data plot is shown below • My data is:

x y
1.42 4.42
9.81 53.24
-3.97 -21.25
-0.46 9.44
-0.48 1.90
5.07 31.19
0.62 13.15
0.99 6.85
13.19 56.45
13.52 56.66
11.83 55.07
8.42 37.56
20.55 95.92
11.55 58.94
18.91 80.68
8.59 46.91
21.78 103.33
21.93 100.48
20.94 96.15
15.09 74.14
24.91 115.39
14.91 70.75
21.08 85.51
29.81 136.64
24.56 111.80
18.20 72.90
The formula of my regression line is
y = 4.3392+4.24088
At a x-value of 20, the y-value is equal to
91.025
The correlation is .9915 (a strong and positive correlation). • edited April 12

My data set is as follows:
x y
-4.31 4.72
9.08 -29.90
9.85 -37.66
1.48 -1.28
-1.15 6.29
8.22 -26.48
9.88 -28.32
12.09 -31.62
16.36 -52.06
5.58 -19.49
6.22 -23.44
5.52 -16.80
16.54 -48.77
15.83 -38.79
22.90 -57.82
16.48 -37.87
11.56 -40.96
13.00 -44.46
22.84 -59.76
24.71 -72.73
21.80 -55.74

1) The formula for my regression line is $Y=2.56793X-4.05392$
2) X=20, Y=-55.413
3) Correlation = -0.9692
4) • My data set is as follows"
X Y
4.81 24.16
-5.50-7.13
9.95 33.53
0.47 18.83
9.21 41.70
5.55 25.42
2.88 11.55
13.3354.14
12.9343.53
6.52 29.71
3.28 17.43
4.23 23.89
16.7357.01
11.6245.52
8.84 36.16
23.9991.27
14.8664.11
11.6946.04
26.0889.85
23.9779.91
27.88102.98
26.2296.58
15.5667.09

The formula for my regression line is Y=MX+B
Y1=20,3.25*20+8.74
The r correlation is .987 • My data set is:
x y
-6.91 12.95
8.88 -30.89
-0.83 -8.84
3.40 -19.39
11.19 -30.90
2.81 -13.74
13.96 -51.46
14.59 -39.64
14.62 -41.89
8.12 -24.51
17.74 -48.74
17.26 -62.96
15.62 -56.90
7.08 -32.17
16.85 -60.95
10.11 -39.18

My Formula for the regression line is:

y=-2.76505x + -7.62739

What y value if x=20:

-62.9282881614

Correlation:

-0.9604 • My data is as follows:
5.74 8.63
-0.74 -2.48
8.07 -2.27
2.62 6.36
-1.89 6.17
2.31 9.21
6.64 -2.04
7.13 0.70
11.77 3.88
17.28 3.66
3.10 0.52
18.57 18.50
11.20 9.86
21.04 12.74
17.76 8.14
11.30 12.48
17.47 18.63

The formula of my regression line is:
y = 0.531948x + 1.64197
At an x value of 20 my y equals 12.21
regression: r= 0.5743 positive correlation • The formula for my regression line is below:
1. y= -4.00538 + -8.91342
2. y-value if your model predicts if x=20:
y= -89.021
3. My correlation: -0.9873 • My data is:

x y
-1.14 -8.50
8.20 -28.41
3.40 -9.32
1.04 -8.33
5.00 -15.61
8.53 -38.48
13.93 -60.22
6.53 -34.59
5.41 -18.16
6.60 -23.53
9.37 -29.66
8.98 -40.72
7.35 -23.05

My formula for regression is:
y1 = mx +b
y1=-3.55463(x) -3.29496

x = 20
y =-74.388 My correlation is:
r=-.9109

• x y
5.52 -27.06
8.07 -24.71
2.32. 0.60
-3.49 17.09
9.05 -38.66
6.99 -22.87
12.06 -47.75
4.29 -11.90
1.09 4.20
10.79 -43.87
16.74 -57.34
12.65 -46.71
8.05 -36.34
14.27 -52.48
21.61 -88.83
12.25 -40.19
15.38 -66.73
16.33 -59.16
18.34 -69.10
24.24 -97.02

The formula for my regression line is:
m line = -4.14583
b line = 4.44746
-78.469
my correlation is :0.9862

• My data set is:

x y
-4.49 26.80
8.97 -36.03
10.91 -51.42
11.52 -47.41
6.40 -22.97
12.87 -54.85
10.25 -47.69
14.13 -55.48
2.59 0.94
17.24 -73.70
12.67 -57.78
12.73 -53.82
5.15 -14.73
7.09 -17.75
17.59 -64.09
18.03 -73.92
23.58 -103.44
17.90 -71.78
23.48 -98.73
17.47 -71.05
21.33 -83.57
22.39 -94.79
29.90 -122.42

The formation for my regression line is

y= -4.4342 + 5.56229

The Y value for x=20 is: −83.1216452504

My correlation is: -0.9908 • edited April 12

My data Is:

x y
4.06 -17.24
8.59 -27.01
8.76 -37.47
-2.80 -9.79
12.32 -43.23
3.35 -19.15
5.76 -16.50
1.54 -11.62
8.90 -30.16
17.53 -52.08
18.33 -48.86
17.51 -52.24
9.18 -31.97
14.33 -44.10
10.06 -30.43
11.81 -43.60
18.18 -53.09
20.64 -63.05
22.19 -53.85
14.91 -37.78
19.74 -55.16
22.54 -60.55
17.21 -46.00

The formula for my regression line is:
y=-2.20323 - 11.2088

At an X-Value of 20, the Y-Value would be: -55.2734244841

The correlation: r =-0.9655

https://www.desmos.com/calculator/m9eoenysuo

• My data is:

x y
8.67 -10.97
2.77 8.44
6.23 -4.10
0.10 12.62
12.58 -10.39
6.82 -6.25
0.85 8.56
14.10 -21.29
4.11 -7.17
13.63 -22.24
11.61 -11.49
8.43 -7.03

The formula for my regression line is:
y=-2.11995x+9.93943

The y-value for x=20 is y=-32.459

My correlation is: 0.8721

• My formula for the regression line is Y= -4.622x-3.66
The y-value is x=20 is y=-96.1
My correlation is -0.9936
My graph looks like:
https://www.desmos.com/calculator/pgujiatp0v

• my data is
x y
8.84 -7.57
2.88 3.15
5.17 -2.42
6.07 -2.20
5.03 -9.25
2.17 -3.43
0.48 -8.00
12.06 -3.66
1.89 -6.66
17.97 -2.11
5.16 1.33
17.22 8.06
6.65 5.07
15.30 -3.03
9.90 6.74
8.40 2.64
20.54 9.72
25.74 11.67
13.61 -5.94
17.91 7.08
21.50 12.48
21.47 1.52
30.74 6.97
26.06 2.35
20.01 5.48
30.30 18.46
27.49 16.81
24.66 -0.14
27.86 13.90
27.67 4.20

The forumla for my regression line is:
y= 0.53964x+-5.51398

The value for Y is: 5.267

The correlation is :
0.6983

https://www.desmos.com/calculator

Sign In or Register to comment.