Statistics

The least absolute deviation line equation for the data in the table is m = 0.1 x + 2.9

X 1,6,0.5,4,7.5,12,10,11 y 3,2.5,8,1,1.5,9,13,4

What is the sum of the absolute deviations?

  1. 👍 0
  2. 👎 0
  3. 👁 201
  1. First find the absolute deviation for each coordinate.
    (1,3), (6,2.5), (0.5,8), (4,1), (7.5,1.5), (12,9), (10,13), (11,4).
    I will do the 1st coordinate: (1,3)

    Least absolute deviation line equation: m(x)= 0.1 x + 2.9
    If you plot all 8 coordinates onto a xy graph, m(x) is the line of best fit.
    The distance from one coordinate's y-value from the line m(x) is the deviation.

    Plug in x from coordinate (1,3) into the equation m(1):
    At x = 1, m(1)= 0.1(1) + 2.9 = 3.0
    This is (1,3) on the m(x) line.

    Find the distance of coordinate (1,3) from (1,3):
    Absolute Deviation = |m(1) - y| = |3 - 3| = 0

    Repeat for 2nd coordinate: (6, 2.5)
    m(6) = 0.1(6) + 2.9 = 3.5
    (6,3.5) on the m(x) line.
    Absolute Deviation: |m(6) - y| = |3.5 - 2.5| = 1.0

    Repeat this again for the other six coordinates.
    Add up the eight absolute deviations to find the sum.

    1. 👍 1
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math HELP! Ms.Sue

    The stem-and-leaf plot shows the heights in centimeters of Teddy Bear sunflowers grown in two different types of soil. Soil A| |Soil B | 5 |9 5 2 1 1| 6 |39 510| 7 |023678 21| 8 |3 0| 9 | Key: 9|6 means 69, Key: 5|8 means 58 a)

    asked by Anon101 on May 2, 2015
  2. algebra 1

    Which type of function best models the data in each table? Write an equation to model the data. Table: x | y 0 | 5 1 | 2 2 | 0.8 3 | 0.32 4 | 0.128 Please help me with this I'm really bad at graphs and functions..I know its either

    asked by daniella on March 27, 2018
  3. Math

    The stem-and-leaf plot shows the heights in centimeters of Teddy Bear sunflowers grown in two different types of soil. Soil A 65,62,61,61 75,71,70 82,81 90 Soil B 59 63,69 70,72,73,76,77,78 83 a) Describe the overlap of the two

    asked by Miae on May 16, 2013
  4. Algebra

    1. for the data in the table, does y vary directly with x? if it does write an equation for the direct variation. 10 | 12 15 | 18 20 | 24 A. yes; y = 1.2x B. yes; y = 2x C. yes; y = x + 1 D. no; y does not vary directly with x 2.

    asked by Just a kid who needs help, please. on December 14, 2018
  5. Math - Help!

    Mrs. Higgins' Home Economics class collected data on the number of chocolate chips in cookies for two different brands, as shown in the dot plots below. The mean absolute deviation for each brand is 0.8. The difference between the

    asked by Madi on May 16, 2019
  1. Algebra 1

    Which type of function best models the data in each table? Write an equation to model the data. Table: x | y 0 | 5 1 | 2 2 | 0.8 3 | 0.32 4 | 0.128 Please help me out with this I would really appreciate it! If someone could

    asked by daniella on March 27, 2018
  2. Math

    1. Which type of data display is most appropriate to display the data below? A. box-and-whisker plot B. double bar graph C. line graph D. line plot 2. Use the line graph below to answer the question. Which time period shows a

    asked by Sleazie$tCannibal on March 13, 2020
  3. Math(check)

    1)Find the range of the relation [(-1,4)},(2,5),(3,5)}.Then determine whether the relation is a funtion. 4,5,5 is the range 4,5 is a function 2)Find f(-1),if f(x)= x^2-6x/x+2 (-1)^2-6(-1)/-1+2 1+6/-1+2 7/1 =7 3)Find f(a),if f(t)=

    asked by erin on July 26, 2007
  4. algebra

    4. Which of the following is true about a trend line for data? (1 point) The minimum data point always lies on the trend line. Every data point must lie on the trend line. The trend line describes the pattern in the data if one

    asked by Philly on March 21, 2013
  5. math 208

    The table lists the price P of a first-class postage stamp for selected year’s t. t 1963 1975 1987 2002 2007 p $.05 $.13 $.25 $.37 $.41 (a) Find the slope of each line segment connecting consecutive data points in the table. Can

    asked by lanie on February 27, 2012
  6. statistics

    6. Use Table 4.24 to answer the questions below. Table 4.24 x 2 4 6 6 10 y 3 5 6 11 9 a) Find the regression line equation. 4.72+7.81x b) Draw a scatter plot for the data. Graph the regression line on the same graph paper as the

    asked by Hayley on November 29, 2018

You can view more similar questions or ask a new question.