From 3bf73ba9e65acdbb471f6ac7a6ce9a3e86e99560 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Metehan=20G=C3=9CNG=C3=96R?= <102655648+gungorMetehan@users.noreply.github.com> Date: Wed, 26 Aug 2026 13:48:59 +0300 Subject: [PATCH] Update _24-sa-inf-model-slr.qmd Typo --- exercises/_24-sa-inf-model-slr.qmd | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/exercises/_24-sa-inf-model-slr.qmd b/exercises/_24-sa-inf-model-slr.qmd index b74defab..9e9cac87 100644 --- a/exercises/_24-sa-inf-model-slr.qmd +++ b/exercises/_24-sa-inf-model-slr.qmd @@ -22,7 +22,7 @@ 1. \(a) $r = \sqrt{0.706} \approx +0.84$. We know the correlation is positive due to the positive association shown in the scatterplot. (b) The technical conditions all seem to be met. \addtocounter{enumi}{1} -1. \(a\) With only sixteen observations in the analysis there are not enough data points to establish any patterns in the residual plot. That said, the sixteen observations do not show any large deviations of LNE conditions. We do not know if the volunteers were friends, for example, which would violate the independence condition. (b) The layout of the points does not indicate any deviation form the LINE technical conditions. The small number of points, however, suggests that care should be given to making sure that the individuals in the study are a good representative sample of the population to which we would like to infer the results. +1. \(a\) With only sixteen observations in the analysis there are not enough data points to establish any patterns in the residual plot. That said, the sixteen observations do not show any large deviations of LNE conditions. We do not know if the volunteers were friends, for example, which would violate the independence condition. (b) The layout of the points does not indicate any deviation from the LINE technical conditions. The small number of points, however, suggests that care should be given to making sure that the individuals in the study are a good representative sample of the population to which we would like to infer the results. \addtocounter{enumi}{1} 1. \(a\) The **L**inearity and **N**ormality conditions seem to be met. If anything, the **E**qual variance condition is violated due to the a fan shaped pattern in the plot, which indicates non-constant variability in the residuals (little variability when $x$ is small, more variability when $x$ is large). We do not know if the cats were randomly sampled (i.e., are independent from one another), but we have no reason to believe that they are not independent. (b) Unequal variability does not affect the fit of the line. The line will continue to model the average heart weight of cats at a given body weight. However, the p-value for the inference on the line will be affected by the unequal variability. How much? Probably not much given that the violation is quite minimal.