diff --git a/inst/shinys/reg_standardized/app.R b/inst/shinys/reg_standardized/app.R
index c016035..baaac8e 100644
--- a/inst/shinys/reg_standardized/app.R
+++ b/inst/shinys/reg_standardized/app.R
@@ -1,113 +1,115 @@
-library(shiny)
-
-set.seed(19)
-n = 20
-x = 2*runif(n)
-b0 = 2.5
-b1 = 0.8
-y = b0 + b1*x + rnorm(n)
-
-ui <- fluidPage(
-  br(),
-  br(),
-  sidebarPanel(sliderInput("i_std", "Intercept", min = -2,
-                           max = 4, step = .5, value = 2),
-               sliderInput("s_std", "Slope", min = -1,
-                           max = 2, step = .1, value = -.2),
-
-               checkboxInput("std", "Standardize X and Y!", value = FALSE),
-
-               br(),
-               br(),
-
-               verbatimTextOutput("userguess_std")),
-
-  mainPanel(
-    plotOutput("regPlot_std")))
-
-server <- function(input,output){
-  output$userguess_std <- renderText({
-
-    if (input$std == TRUE){
-      x <- (x-mean(x))/sd(x)
-      y <- (y-mean(y))/sd(y)
-    }
-
-    # a = intercept, b = slope (user input)
-    a <- input$i_std
-    b <- input$s_std
-
-    # plot
-    expr <- function(x) a + b*x
-    errors <- (a + b*x) - y
-
-    if (input$std == FALSE){
-      a <- input$i_std
-      b <- input$s_std
-      paste0("Your guess:\n y = ", a, " + ", b, "x\n SSR: ", sum(errors^2) )
-    } else {
-      a <- input$i_std
-      b <- input$s_std
-      paste0("Your guess:\n [y / SD(y)] = ", a, " + ", b, "[x / SD(x)]\n SSR: ", sum(errors^2))
-    }
-
-
-  })
-
-  output$regPlot_std <- renderPlot({
-
-    if (input$std == TRUE){
-      x <- (x-mean(x))/sd(x)
-      y <- (y-mean(y))/sd(y)
-    }
-
-    # a = intercept, b = slope (user input)
-    a <- input$i_std
-    b <- input$s_std
-
-    # plot
-    expr <- function(x) a + b*x
-    errors <- (a + b*x) - y
-
-    plot(x, y, type = "p", pch = 21, col = "blue", bg = "royalblue", asp=1,
-         ylim = c(min(y)-2, max(y)+2),
-         # ylim = c(-5, 10),
-         main = "Fit the data!", frame.plot = FALSE,
-         cex = 1.2)
-    legend("topleft", legend = paste0("r (correlation coefficient) = ", round(cor(x, y), 2)))
-
-    b_best <- b1
-    a_best <- b0
-
-    offset = 4
-
-
-    if (input$std == TRUE){
-      b0new = 0
-      b1new = round(cor(x, y), 1)
-    } else {
-      b0new = b0
-      b1new = b1
-    }
-
-
-    # if (near(a, b0, tol = .01) && near(b, b1, tol = .01)){
-    if (a==b0new && dplyr::near(b, b1new, tol = .01)){
-
-      curve(expr = expr, from = min(x)-offset, to = max(x)+offset, add = TRUE, col = "black")
-      segments(x0 = x, y0 = y, x1 = x, y1 = (y + errors), col = "green")
-      rect(xleft = x, ybottom = y,
-           xright = x + abs(errors), ytop = y + errors, density = -1,
-           col = rgb(red = 0, green = 1, blue = 0, alpha = 0.05), border = NA)
-    } else {
-      curve(expr =expr , from = min(x)-offset, to = max(x)+offset, add = TRUE, col = "black")
-      segments(x0 = x, y0 = y, x1 = x, y1 = (y + errors), col = "red")
-      rect(xleft = x, ybottom = y,
-           xright = x + abs(errors), ytop = y + errors, density = -1,
-           col = rgb(red = 1, green = 0, blue = 0, alpha = 0.05), border = NA)
-    }
-
-  })
-}
-
-shinyApp(ui = ui, server = server)
+library(shiny)
+
+set.seed(19)
+n = 20
+x = 2*runif(n)
+b0 = 2.5
+b1 = 0.8
+y = b0 + b1*x + rnorm(n)
+a_solution <- round(summary(lm(y ~ x))$coefficients[1, 1], 1)
+b_solution <- round(summary(lm(y ~ x))$coefficients[2, 1], 1)
+
+ui <- fluidPage(
+  br(),
+  br(),
+  sidebarPanel(sliderInput("i_std", "Intercept", min = -2,
+                           max = 4, step = .1, value = 2),
+               sliderInput("s_std", "Slope", min = -1,
+                           max = 2, step = .1, value = -.2),
+               
+               checkboxInput("std", "Standardize X and Y!", value = FALSE),
+               
+               br(),
+               br(),
+               
+               verbatimTextOutput("userguess_std")),
+  
+  mainPanel(
+    plotOutput("regPlot_std")))
+
+server <- function(input,output){
+  output$userguess_std <- renderText({
+    
+    if (input$std == TRUE){
+      x <- (x-mean(x))/sd(x)
+      y <- (y-mean(y))/sd(y)
+    }
+    
+    # a = intercept, b = slope (user input)
+    a <- input$i_std
+    b <- input$s_std
+    
+    # plot
+    expr <- function(x) a + b*x
+    errors <- (a + b*x) - y
+    
+    if (input$std == FALSE){
+      a <- input$i_std
+      b <- input$s_std
+      paste0("Your guess:\n y = ", a, " + ", b, "x\n SSR: ", sum(errors^2) )
+    } else {
+      a <- input$i_std
+      b <- input$s_std
+      paste0("Your guess:\n [y / SD(y)] = ", a, " + ", b, "[x / SD(x)]\n SSR: ", sum(errors^2))
+    }
+    
+    
+  })
+  
+  output$regPlot_std <- renderPlot({
+    
+    if (input$std == TRUE){
+      x <- (x-mean(x))/sd(x)
+      y <- (y-mean(y))/sd(y)
+    }
+    
+    # a = intercept, b = slope (user input)
+    a <- input$i_std
+    b <- input$s_std
+    
+    # plot
+    expr <- function(x) a + b*x
+    errors <- (a + b*x) - y
+    
+    plot(x, y, type = "p", pch = 21, col = "blue", bg = "royalblue", asp=1,
+         ylim = c(min(y)-2, max(y)+2),
+         # ylim = c(-5, 10),
+         main = "Fit the data!", frame.plot = FALSE,
+         cex = 1.2)
+    legend("topleft", legend = paste0("r (correlation coefficient) = ", round(cor(x, y), 2)))
+    
+    b_best <- b1
+    a_best <- b0
+    
+    offset = 4
+    
+    
+    if (input$std == TRUE){
+      b0new = 0
+      b1new = round(cor(x, y), 1)
+    } else {
+      b0new = a_solution
+      b1new = b_solution
+    }
+    
+    
+    # if (near(a, b0, tol = .01) && near(b, b1, tol = .01)){
+    if (a==b0new && b==b1new){
+      
+      curve(expr = expr, from = min(x)-offset, to = max(x)+offset, add = TRUE, col = "black")
+      segments(x0 = x, y0 = y, x1 = x, y1 = (y + errors), col = "green")
+      rect(xleft = x, ybottom = y,
+           xright = x + abs(errors), ytop = y + errors, density = -1,
+           col = rgb(red = 0, green = 1, blue = 0, alpha = 0.05), border = NA)
+    } else {
+      curve(expr =expr , from = min(x)-offset, to = max(x)+offset, add = TRUE, col = "black")
+      segments(x0 = x, y0 = y, x1 = x, y1 = (y + errors), col = "red")
+      rect(xleft = x, ybottom = y,
+           xright = x + abs(errors), ytop = y + errors, density = -1,
+           col = rgb(red = 1, green = 0, blue = 0, alpha = 0.05), border = NA)
+    }
+    
+  })
+}
+
+shinyApp(ui = ui, server = server)
\ No newline at end of file