I have one problem with finding the appropriate functions in R that would perform this 
operation: We have X, the independent variable, and Y, the response variable, so that 
a regression line of these variables can be calculated. Using the Student t 
distribution, we need to find the 95% prediction interval of the mean of Y for the 
certain value of X. For example, R has the built-in data ( data(cars) ) for cars' 
speed as the independent variable and cars' stopping distance as the response 
variable. Find 95% prediction interval of mean stopping distance for cars speeding at 
30.  

I have another question: is there a certain function in R that can calculate the 
probability p using the Student t distribution given the certain value, the sample 
mean, and the sample standard deviation, and df (i.e., the one that functions like 
pnorm(), but deals with Student t distribution.)

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