diff --git a/inst/shinys/SSR_cone/app.R b/inst/shinys/SSR_cone/app.R
index 50c323b..202b205 100644
--- a/inst/shinys/SSR_cone/app.R
+++ b/inst/shinys/SSR_cone/app.R
@@ -1,113 +1,115 @@
-library(dplyr)
-library(plotly)
-
-set.seed(19)
-
-# Generate Random Data
-x <- rnorm(n = 20, mean = 2, sd = 4)
-
-a_true <- -2
-b_true <- 1.5
-y <- a_true + b_true*x + rnorm(n = 20, mean = 0, sd = 1.5)
-
-ui <- fluidPage(
-  br(),
-  br(),
-  fluidRow(
-
-  column(width = 2,
-         sliderInput("i_ssr", "Intercept", min = -4,
-                     max = 4, step = .25, value = .5),
-         sliderInput("s_ssr", "Slope", min = -1,
-                     max = 3, step = .25, value = -1),
-         br(),
-         br(),
-
-         verbatimTextOutput("userguess_ssr")),
-
-  column(width = 4,
-         plotOutput("regPlot_ssr")),
-
-  column(width = 6,
-         plotlyOutput("SSR_cone"))
-
-))
-
-server <- function(input,output){
-  output$userguess_ssr <- renderText({
-
-    a <- input$i_ssr
-    b <- input$s_ssr
-    errors <- (a + b*x) - y
-    paste0("Your guess:\n y = ", a, " + ", b, "x\n SSR = ", round(sum(errors^2),3))
-
-  })
-
-  output$regPlot_ssr <- renderPlot({
-
-    # a = intercept, b = slope (user input)
-    a <- input$i_ssr
-    b <- input$s_ssr
-
-    # 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,
-         xlim = c(min(c(x, y))-1, max(c(x, y))+1),
-         ylim = c(min(c(x, y))-1, max(c(x, y))+1),
-         main = "Fit the data!", frame.plot = FALSE,
-         cex = 1.2)
-
-    if (a == a_true &&  b == b_true){
-      curve(expr = expr, from = min(x)-10, to = max(x)+10, 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)-10, to = max(x)+10, 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)
-    }
-
-  })
-
-  output$SSR_cone <- renderPlotly({
-    # a = intercept, b = slope (user input)
-    a <- input$i_ssr
-    b <- input$s_ssr
-
-    # plot cone
-
-    ssr <- function(a_, b_){
-      return(sum(((a_ + b_*x) - y)^2))
-    }
-
-    possible_a <- seq(-4, 4, .25)
-    possible_b <- seq(-4, 4, .25)
-
-    df <- data.frame(a = rep(possible_a, each = length(possible_b)),
-                     b = rep(possible_b, times = length(possible_b)))
-
-    df <- cbind(df, mapply(ssr, df$a, df$b))
-    colnames(df) <- c("a", "b", "ssr")
-
-    annot <- data.frame(intercept = a, slope = b, SSR = ssr(a, b))
-
-    # camera
-    # https://plot.ly/python/3d-camera-controls/
-    scene = list(camera = list(eye = list(x = 2.5, y = 0.1, z = 0.5)))
-    plot_ly(x=possible_a,y=possible_b, z=matrix(df$ssr,c(length(possible_a),length(possible_b))),type="surface",colors = "YlOrRd", opacity = .85) %>%
-      add_trace(data=annot,x = ~intercept, y = ~slope, z = ~SSR,mode="markers",type="scatter3d",marker=list(size=5,color="black",symbol=104)) %>%
-      colorbar(title = "Sum of Squared\nResiduals") %>%
-      layout(title = "\nYour guess is the black dot\n(You can move around the plot!)",
-             xaxis=list(range=c(-6,6)), yaxis=list(range=c(-6,6)),scene=scene)
-
-
-  })
-}
-
-shinyApp(ui = ui, server = server)
+library(dplyr)
+library(plotly)
+
+set.seed(18)
+
+# Generate Random Data
+x <- rnorm(n = 20, mean = 2, sd = 4)
+
+a_true <- -2
+b_true <- 1.5
+y <- a_true + b_true*x + rnorm(n = 20, mean = 0, sd = 1.5)
+a_solution <- round(4 * summary(lm(y ~ x))$coefficients[1, 1]) / 4
+b_solution <- round(4 * summary(lm(y ~ x))$coefficients[2, 1]) / 4
+
+ui <- fluidPage(
+  br(),
+  br(),
+  fluidRow(
+    
+    column(width = 2,
+           sliderInput("i_ssr", "Intercept", min = -4,
+                       max = 4, step = .25, value = .5),
+           sliderInput("s_ssr", "Slope", min = -1,
+                       max = 3, step = .25, value = -1),
+           br(),
+           br(),
+           
+           verbatimTextOutput("userguess_ssr")),
+    
+    column(width = 4,
+           plotOutput("regPlot_ssr")),
+    
+    column(width = 6,
+           plotlyOutput("SSR_cone"))
+    
+  ))
+
+server <- function(input,output){
+  output$userguess_ssr <- renderText({
+    
+    a <- input$i_ssr
+    b <- input$s_ssr
+    errors <- (a + b*x) - y
+    paste0("Your guess:\n y = ", a, " + ", b, "x\n SSR = ", round(sum(errors^2),3))
+    
+  })
+  
+  output$regPlot_ssr <- renderPlot({
+    
+    # a = intercept, b = slope (user input)
+    a <- input$i_ssr
+    b <- input$s_ssr
+    
+    # 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,
+         xlim = c(min(c(x, y))-1, max(c(x, y))+1),
+         ylim = c(min(c(x, y))-1, max(c(x, y))+1),
+         main = "Fit the data!", frame.plot = FALSE,
+         cex = 1.2)
+    
+    if (a == a_solution &&  b == b_solution){
+      curve(expr = expr, from = min(x)-10, to = max(x)+10, 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)-10, to = max(x)+10, 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)
+    }
+    
+  })
+  
+  output$SSR_cone <- renderPlotly({
+    # a = intercept, b = slope (user input)
+    a <- input$i_ssr
+    b <- input$s_ssr
+    
+    # plot cone
+    
+    ssr <- function(a_, b_){
+      return(sum(((a_ + b_*x) - y)^2))
+    }
+    
+    possible_a <- seq(-4, 4, .25)
+    possible_b <- seq(-4, 4, .25)
+    
+    df <- data.frame(a = rep(possible_a, each = length(possible_b)),
+                     b = rep(possible_b, times = length(possible_b)))
+    
+    df <- cbind(df, mapply(ssr, df$a, df$b))
+    colnames(df) <- c("a", "b", "ssr")
+    
+    annot <- data.frame(intercept = a, slope = b, SSR = ssr(a, b))
+    
+    # camera
+    # https://plot.ly/python/3d-camera-controls/
+    scene = list(camera = list(eye = list(x = 2.5, y = 0.1, z = 0.5)))
+    plot_ly(x=possible_a,y=possible_b, z=matrix(df$ssr,c(length(possible_a),length(possible_b))),type="surface",colors = "YlOrRd", opacity = .85) %>%
+      add_trace(data=annot,x = ~intercept, y = ~slope, z = ~SSR,mode="markers",type="scatter3d",marker=list(size=5,color="black",symbol=104)) %>%
+      colorbar(title = "Sum of Squared\nResiduals") %>%
+      layout(title = "\nYour guess is the black dot\n(You can move around the plot!)",
+             xaxis=list(range=c(-6,6)), yaxis=list(range=c(-6,6)),scene=scene)
+    
+    
+  })
+}
+
+shinyApp(ui = ui, server = server)
\ No newline at end of file