Browsing by Subject "scatter plot"

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    Shutter Plot: A Visual Display of Summary Statistics over a Scatter Plot
    (Univ. of Rajshahi, 2020-10) Sarkar, Jyotirmoy; Rashid, Mamunur; Mathematical Sciences, School of Science
    While a dot plot of one variable is naturally extended to a scatter plot of two variables, how should a box plot of one variable be extended to two variables? We propose a shutter plot that depicts the means and the standard deviations of both variables, the two regression lines and the coefficients of correlation and determination over a scatter plot. By showing all relevant summary statistics simultaneously, a shutter plot captures all aspects of a linear relationship, including flagging potential outliers, and helps the readers make good decisions.
  • Thumbnail Image
    Item
    Two Regression Lines Suffice to Determine r2 and r
    (2021) Sarkar, Jyotirmoy; Rashid, Mamunur; Mathematical Sciences, School of Science
    The Pearson correlation coefficient can be recovered from the two least-squares regression lines ŷ = b0 + b1x and x = a0 + a1y without any data. This can be done both algebraically and geometrically. This can be done without data even when the scales of the variables are different. The authors conclude with ways to use such information during instruction to help scaffold student understanding, number sense and problem-solving skills.