Github user srowen commented on a diff in the pull request:

    https://github.com/apache/spark/pull/9756#discussion_r46610719
  
    --- Diff: 
mllib/src/test/scala/org/apache/spark/ml/regression/LinearRegressionSuite.scala 
---
    @@ -592,21 +594,47 @@ class LinearRegressionSuite
           }
     
           /*
    -         Use the following R code to generate model training results.
    -
    -         predictions <- predict(fit, newx=features)
    -         residuals <- label - predictions
    -         > mean(residuals^2) # MSE
    -         [1] 0.009720325
    -         > mean(abs(residuals)) # MAD
    -         [1] 0.07863206
    -         > cor(predictions, label)^2# r^2
    -                 [,1]
    -         s0 0.9998749
    +         # Use the following R code to generate model training results.
    +
    +         # path/part-00000 is the file generated by running 
LinearDataGenerator.generateLinearInput
    +         # as described before the beforeAll() method.
    +         d1 <- read.csv("path/part-00000", header=FALSE, 
stringsAsFactors=FALSE)
    +         fit <- glm(V1 ~ V2 + V3, data = d1, family = "gaussian")
    +         names(f1)[1] = c("V2")
    +         names(f1)[2] = c("V3")
    +         f1 <- data.frame(as.numeric(d1$V2), as.numeric(d1$V3))
    +         predictions <- predict(fit, newdata=f1)
    +         l1 <- as.numeric(d1$V1)
    +
    +         residuals <- l1 - predictions
    +         > mean(residuals^2)           # MSE
    +         [1] 0.00985449
    +         > mean(abs(residuals))        # MAD
    +         [1] 0.07961668
    +         > cor(predictions, l1)^2   # r^2
    +         [1] 0.9998737
    +
    +         > summary(fit)
    +
    +          Call:
    +          glm(formula = V1 ~ V2 + V3, family = "gaussian", data = d1)
    +
    +          Deviance Residuals:
    +               Min        1Q    Median        3Q       Max
    +          -0.47082  -0.06797   0.00002   0.06725   0.34635
    +
    +          Coefficients:
    +                       Estimate Std. Error t value Pr(>|t|)
    +          (Intercept) 6.3022157  0.0018600    3388   <2e-16 ***
    +          V2          4.6982442  0.0011805    3980   <2e-16 ***
    +          V3          7.1994344  0.0009044    7961   <2e-16 ***
    +          ---
    +
    +          ....
            */
    -      assert(model.summary.meanSquaredError ~== 0.00972035 relTol 1E-5)
    -      assert(model.summary.meanAbsoluteError ~== 0.07863206 relTol 1E-5)
    -      assert(model.summary.r2 ~== 0.9998749 relTol 1E-5)
    +      assert(model.summary.meanSquaredError ~== 0.00985449 relTol 1E-5)
    +      assert(model.summary.meanAbsoluteError ~== 0.07961668 relTol 1E-5)
    +      assert(model.summary.r2 ~== 0.9998737 relTol 1E-5)
    --- End diff --
    
    Yes, I get all that. I'm not suggesting trying a bunch of seeds though any 
data so generated should produce the same answer within some tolerance. Same 
goes for your new generation process. The fact that the test then fails means 
your data generation process is wrong or the test is. So, something has to be 
done right?
    
    You did, but your change suggests that the 'expected value' of the data 
changed. It is not clear we should believe that. Hence fix the threshold and 
yes 10x isn't any more principled but has the advantage of being not incorrect 
in that it is too loose if anything. 
    
    Really the current change is only very slightly suboptimal and just pushes 
the tiny problem to a future change. Maybe it is worth punting on, even though 
making the test righter here seems easy. 


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