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228 changes: 115 additions & 113 deletions inst/shinys/reg_standardized/app.R
Original file line number Diff line number Diff line change
@@ -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)