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# Time for action – limitations of linear regression models

A linear regression model is built for the dataset with a binary output. The model is used to predict the probabilities for some cases, which shows the limitations:

1. Load the dataset from the `RSADBE` package with `data(sat)`.
2. Visualize the scatter plot of `Pass` against `Sat` with `plot(sat\$Sat, sat\$Pass,xlab="SAT Score", ylab = "Final Result")`.
3. Fit the simple linear regression model with `passlm <- lm(Pass~Sat, data=sat)` and obtain its summary by `summary(passlm)`. Add the fitted regression line to the scatter plot using `abline(passlm)`.
4. Make a prediction for students with SAT-M scores of 400 and 700 by using the R code `predict(passlm,newdata=list(Sat=400))` and `predict( passlm, newdata=list(Sat=700),interval="prediction") ...`

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