Preview

Linear Regression & Best Line Analysis

Good Essays
Open Document
Open Document
325 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Linear Regression & Best Line Analysis
Linear Regression & Best Line Analysis

Linear regression is used to make predictions about a single value. Linear regression involves discovering the equation for a line that most nearly fits the given data. That linear equation is then used to predict values for the data. A popular method of using the Linear Regression is to construct Linear Regression Channel lines. Developed by Gilbert Raff, the channel is constructed by plotting two parallel, middle lines above and below a Linear Regression trend line. Regression Channels contain data movement, with the bottom channel line providing support and the top channel line providing resistance. Data may extend outside of the channel for a short period of time. However if the data remains outside the channel for a longer period of time, a reversal in trend may be coming up.
A Linear Regression trend line shows where stability exists. Linear Regression Channels show the range of data can be expected to stray from a Linear Regression trend line. These two lines form a linear regression channel. The two lines act as support and resistance. Once the lines are broken for a sustained period of time, this is an indication that the trend has reversed or gained great momentum. A stock which is moving slightly upward or downward for a period of time which suddenly moves outside the channel in the same direction of the previous move, is showing signs that it will continue the move. A stock which was trending upward or downward and has changed direction and broken the opposite channel for a continued period is showing signs that the trend will probably continue. The space inside the channel is where stability exists. This is the area in which data can be expected to deviate from the original linear regression line. What I have found is that generally, when data moves outside or to the extreme channel line, data tends to move back to the opposite channel

You May Also Find These Documents Helpful

  • Good Essays

    Use the linear model to estimate answers for the next questions. Explain how each estimate can be found from the graph.…

    • 1364 Words
    • 13 Pages
    Good Essays
  • Satisfactory Essays

    Math 540 Quiz B

    • 927 Words
    • 4 Pages

    Regression methods attempt to develop a mathematical relationship between the item being forecast and factors that cause it to behave the way it does.…

    • 927 Words
    • 4 Pages
    Satisfactory Essays
  • Good Essays

    Regression Analysis Quiz

    • 682 Words
    • 3 Pages

    You are about to test the hypothesis that sales of your product will increase at a very similar rate at either a $5 drop in unit price or a $7 drop in unit price. You are involved in what type of research?…

    • 682 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Ap Statistics

    • 668 Words
    • 3 Pages

    |T F |7. |The slopes of the least squares lines for predicting y from x, and the least squares line for predicting x |…

    • 668 Words
    • 3 Pages
    Good Essays
  • Better Essays

    Linear Regression Model

    • 1041 Words
    • 5 Pages

    a) be biased away from zero, so that the impact of skipped on colGPA is…

    • 1041 Words
    • 5 Pages
    Better Essays
  • Satisfactory Essays

    Soci

    • 780 Words
    • 4 Pages

    2. Find the multiple regression equation. Interpret its meaning and the meaning of its slopes and constant.…

    • 780 Words
    • 4 Pages
    Satisfactory Essays
  • Satisfactory Essays

    D2: Business

    • 337 Words
    • 2 Pages

    Importance of Stability: Stability is used by businesses to predict the demand of their products for the short and medium term in the future. Stability is the continuous growth or loss in income. Some business finds it hard to achieve the stability due to the amount of competition.…

    • 337 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    The four assumptions of the simple linear regression model are (1) linearity – the mean of E(Y|X) is a straight line function of X; (2) constant variance – the standard deviation of Y|X is the same for all X; (3) normality – the distribution of Y|X is normal; (4) independence – the observations are all independent.…

    • 958 Words
    • 4 Pages
    Good Essays
  • Satisfactory Essays

    purchase of equipment. The cost of the equipment was one hundred thousand dollars and had life expectancy of four years. The following schedules are the double-declining balance method and the straight line method of depreciation. This schedule will assist Balls and Bats, Inc determine the best method to depreciate there new acquisition. Further, the schedules will determine which will glean a higher net income for the organization for the year ending December 31, 2005.…

    • 500 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Ap Stats Smoking

    • 444 Words
    • 2 Pages

    There is an association between the amount of cigarettes smoked and deaths from CHD. The association has a positive direction. This means as the amount of cigarettes smoked increases, so does the deaths from CHD. The association also has a linear from which means the two variables are related. It is also moderately strong. A linear regression is done next. Three conditions are checked to make sure the data is appropriate to be used. The variables are both quantitative. The scatter plot, Graph A, shows that the graph could be straight enough, and there may be an outlier but to continue with caution. Graph B, shows the line of best fit, and shows that the residuals are about equal on both sides. The model has a correlation of .731, which describes that it’s moderately strong. The line has an “r” squared of 53.4%. This means that the change in cigarette consumption accounts for 53.4% of the CHD deaths per 100,000The slope of line is .06. In context this means that, according to our model, as the cigarette consumption per adult per year increases by 1, the CHD death per 100,000 is expected to increase about .06. The y-intercept of the line is 15.64. This means in context that, according to our model when the deaths from CHD are at 0, the cigarette consumption is at 15.64. This means that is someone were to smoke about 16 cigarettes, the death rate would be a 0, which would be a good thing. The benefits of the U.S of reaching the “national goal” of cutting cigarette…

    • 444 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Ice Calorimeter

    • 1653 Words
    • 7 Pages

    values for the density of water, and ice, as well as the heat of fusion of…

    • 1653 Words
    • 7 Pages
    Good Essays
  • Powerful Essays

    Marketing

    • 2844 Words
    • 12 Pages

    will identify the types of gaps that can exist in channel design and how to close them. We will then…

    • 2844 Words
    • 12 Pages
    Powerful Essays
  • Satisfactory Essays

    A channel is a window or a passageway where service will be provided, it disperse the number of people waiting for service, shorten people’s waiting time.…

    • 490 Words
    • 2 Pages
    Satisfactory Essays
  • Powerful Essays

    Probability and Statistics

    • 8229 Words
    • 33 Pages

    Introduction .................................................................................................................................................................. 7 What is this Regression Analysis? ..................................................................................................................... 7 Simple Linear Regression ....................................................................................................................................10 Formula in computing Simple Linear Regression ......................................................................................10 Steps in computing Regression…

    • 8229 Words
    • 33 Pages
    Powerful Essays
  • Satisfactory Essays

    stable (or even lower them) when the market price is increasing? Should it even try?…

    • 689 Words
    • 3 Pages
    Satisfactory Essays