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- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/03%3A_Linear_Regression/3.03%3A_New_PageAs just one example, where we spoke about the meaning of the square r2 of the correlation coefficient (we called it Fact 2.3.3), we were careful to say that r2 measures the variation of the ...As just one example, where we spoke about the meaning of the square r2 of the correlation coefficient (we called it Fact 2.3.3), we were careful to say that r2 measures the variation of the dependent variable which is associated with the variation of the independent variable.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/05%3A_Bringing_Home_the_Data/5.04%3A_New_PageThink of a way of asking a question which would tend to maximize the number of people who said they approved of the job he is doing. Think of a survey question you could ask in a survey of the general...Think of a way of asking a question which would tend to maximize the number of people who said they approved of the job he is doing. Think of a survey question you could ask in a survey of the general population of Americans in response to which many [most?] people would lie.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/01%3A__One-Variable_Statistics_-_Basics/1.05%3A_New_PageOddly enough, there are several measures of central tendency, as ways to define the middle of a dataset are called. There is different work to be done to calculate each of them, and they have differen...Oddly enough, there are several measures of central tendency, as ways to define the middle of a dataset are called. There is different work to be done to calculate each of them, and they have different uses, strengths, and weaknesses.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/04%3A_Probability_Theory/4.02%3A_New_PageBut the first roll having any particular value is independent of the second roll having another, e.g., if A={11,12,13,14,15,16} is the event in that sample space of getting a 1 on the f...But the first roll having any particular value is independent of the second roll having another, e.g., if A={11,12,13,14,15,16} is the event in that sample space of getting a 1 on the first roll and B={14,24,34,44,54,64} is the event of getting a 4 on the second roll, then events A and B are independent, as we check by using Fact 4.2.5: \[\begin{aligned} P(A\cap B) &= P(\{14\})\\ &= \frac{1}{36}\\ &= \frac16\cdot\frac16\\ &= \frac{6}{36}\cdot\frac{6}{36}\\ …
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/04%3A_Probability_TheorySo if the experiment was, say, flipping a coin, the precise amount of force used to propel the coin up into the air, the precise angular motion imparted to the coin by its position just so on the thum...So if the experiment was, say, flipping a coin, the precise amount of force used to propel the coin up into the air, the precise angular motion imparted to the coin by its position just so on the thumbnail of the person doing the flipping, the precise drag that the coin felt as it tumbled through the air caused in part by eddies in the air currents coming from the flap of a butterfly’s wings in the Amazon rainforest – all of these things could significantly contribute to changing whether the co…
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/06%3A_Inferential_Statistics/6.01%3A_New_PageWell, it almost does: ¯x is the sample mean given by ¯x=∑xin=∑xi52 . What that means is that the inequality ∑xi≥3600 amounts ...Well, it almost does: ¯x is the sample mean given by ¯x=∑xin=∑xi52 . What that means is that the inequality ∑xi≥3600 amounts to exactly the same thing, by dividing both sides by 52, as the inequality ∑xi52≥360052 or, in other words, ¯x≥69.23077 . Since these inequalities all amount to the same thing, they have the same probabilities, so \[P\left(\sum x_i \ge 3600\right) =…
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/02%3A_Bi-variate_Statistics_-_BasicsWe may collect the values of this variable for a large population, or at least the largest sample we can afford to examine, and we may display the resulting data in a variety of graphical ways, and su...We may collect the values of this variable for a large population, or at least the largest sample we can afford to examine, and we may display the resulting data in a variety of graphical ways, and summarize it in a variety of numerical ways. If, instead, we want to study a relationship, we need to collect two (at least) variables and develop methods of descriptive statistics which show the relationships between the values of these variables.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/06%3A_Inferential_Statistics/6.05%3A_New_PageSometimes you will see this written instead ∑ni=1xi . Think of the “∑ni=1” as a little computer program which with i=1, increases it one step at a time until it gets all ...Sometimes you will see this written instead ∑ni=1xi . Think of the “∑ni=1” as a little computer program which with i=1, increases it one step at a time until it gets all the way to i=n, and adds up whatever is to the right. Although in the 1950s a doctor (who later was found to be in the pay of the tobacco industry) did say that the clear statistical evidence of association between smoking and cancer might be a sign that cancer causes smoking (I know: crazy!).
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/03%3A_Linear_Regression/3.04%3A_New_PageHowever, you should explain what tool you are using, how you used it, and what it must have been doing behind the scenes to get the results which it displayed and you are turning in.] Write the follow...However, you should explain what tool you are using, how you used it, and what it must have been doing behind the scenes to get the results which it displayed and you are turning in.] Write the following sentences with blanks filled in: “If I measured the RHR of a 55 year-old man, I would expect it to be . Making an estimate like this is called .” Just looking at the equation of the LSRL, what does it suggest should be the RHR of a newborn baby?
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)/01%3A__One-Variable_Statistics_-_Basics/1.03%3A_New_PageSuppose we have a population and variable in which we are interested. We get a sample, which could be large or small, and look at the values of the our variable for the individuals in that sample. We ...Suppose we have a population and variable in which we are interested. We get a sample, which could be large or small, and look at the values of the our variable for the individuals in that sample. We shall informally refer to this collection of values as a dataset. In this section, we suppose also that the variable we are looking at is categorical. Then we can summarize the dataset by telling which categorical values did we see for the individuals in the sample, and how often we saw those value
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Book%3A_Lies_Damned_Lies_or_Statistics_-_How_to_Tell_the_Truth_with_Statistics_(Poritz)
