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

  • edited April 12


    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)

    mark
  • edited April 12

    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:

    mark
  • 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

    mark
  • edited April 12

    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
    mark
  • 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

    mark
  • edited April 12

    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

    mark
  • edited April 12

    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

    mark
  • edited April 12
    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
    mark
  • The formula for my regression line is below:
    Y1=3.37232 × X1 + -2.47901
    x=20, y= 44.2222
    The correlation is .9898

    mark
  • 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

  • edited April 12

    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

  • edited April 12

    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

    mark
    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:
    mark
  • y= 3.3168x - 9.3086

    x=20 y= 57.0271

    r= 0.9818

    mark
  • 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

    mark
  • 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).

    mark
  • 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)

    mark
  • edited April 12

    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

    mark
  • 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

    mark
  • edited April 12

    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

    mark
  • edited April 12

    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

    mark
  • 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

    mark
  • edited April 12

    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

    mark
  • 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

    mark
  • 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

    mark
  • edited April 12

    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

    mark
  • 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

    mark
  • 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

    mark
Sign In or Register to comment.