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- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/14%3A_Correlation_and_Linear_Regression/14.09%3A_Residual_AnalysisWe will make three graphs to test the residual; a scatterplot with the regression line, a plot of the residuals, and a histogram of the residuals Model B looks like a strong fit, but the residuals are...We will make three graphs to test the residual; a scatterplot with the regression line, a plot of the residuals, and a histogram of the residuals Model B looks like a strong fit, but the residuals are showing a pattern of being positive for low and high values of \(X\) and negative for middle values of \(X\). Model C has a linear fit, but the residuals are showing a pattern of being smaller for low values of \(X\) and higher for large values of \(X\).
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/10%3A_One_Population_Hypothesis_Testing/10.02%3A_Formulate_General_Research_Questions(Labor) What is the effect of undocumented immigration and outsourcing of jobs on the current unemployment rate? On the basis of available or potentially available data, we can decide later what speci...(Labor) What is the effect of undocumented immigration and outsourcing of jobs on the current unemployment rate? On the basis of available or potentially available data, we can decide later what specific research hypotheses will be formulated and tested to address the general question. During the data collection and testing process other ideas may come up and we may choose to redefine the general question.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/12%3A_Chisquare_Tests_for_Categorical_Data/12.02%3A_Chisquare_Test_of_IndependenceYou can pick any two events in the table above to verify that Gender and Opinion of Legalization of Marijuana are independent events. In that case, we would expect the 450 people who supported legaliz...You can pick any two events in the table above to verify that Gender and Opinion of Legalization of Marijuana are independent events. In that case, we would expect the 450 people who supported legalization of marijuana to have a higher number of women (and a smaller number of men) compared to the first table. If only one variable is randomized, then the test is called a Chi‐square Test of Homogeneity, but the execution of the test is exactly the same.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/zz%3A_Back_Matter/10%3A_Index
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/02%3A_Displaying_and_Analyzing_Data_with_Graphs/2.01%3A_Introduction_and_ExamplesThe line graph tells the story of Apple, from the dot.com crash in 2000, to the introduction of the first IPod in 2005, the first smart phone in 2007, the economic collapse of 2008, and competition fr...The line graph tells the story of Apple, from the dot.com crash in 2000, to the introduction of the first IPod in 2005, the first smart phone in 2007, the economic collapse of 2008, and competition from other operating systems, such as Android: Perhaps people are influenced by stories in the news, which may sensationalize crime, but here is an example of where we can use statistics to challenge these false perceptions.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/15%3A_Appendix/15.07%3A_Why_Creative_Commons_Attribution_LicenseFollowing the lead of two of my colleagues, Barbara Illowsky and Susan Dean, I decided that any material I create will be provided to students free of charge. If all of us could spend our energy shari...Following the lead of two of my colleagues, Barbara Illowsky and Susan Dean, I decided that any material I create will be provided to students free of charge. If all of us could spend our energy sharing and being creative instead of being fearful and protectionist, imagine how rich the library of open resource material would be.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/05%3A_Probability/5.06%3A_Conditional_ProbabilityIn the 2016 United States presidential election, Donald Trump received 46% of the total vote, Hillary Clinton received 48%, and other candidates received 6%. (Note: although Clinton received about 3 m...In the 2016 United States presidential election, Donald Trump received 46% of the total vote, Hillary Clinton received 48%, and other candidates received 6%. (Note: although Clinton received about 3 million more votes than Trump, the Electoral College determined the actual winner to be Trump). In this case we only need to consider the 40 students taking math as the sample space and the 10 students taking both math and history as the conditional event occurring.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/10%3A_One_Population_Hypothesis_Testing/10.06%3A_Test_of_Mean_vs._Hypothesized_Value__A_Complete_ExampleA two‐tailed test is selected since the company is concerned about both overfilling and underfilling the bottles as the stated policy is that the stated weight should match the actual weight of the pr...A two‐tailed test is selected since the company is concerned about both overfilling and underfilling the bottles as the stated policy is that the stated weight should match the actual weight of the product. The decision rule under the critical value method would be to reject the Null Hypothesis when the value of the test statistic is in the rejection region.
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/15%3A_Appendix/15.03%3A_MINITAB_Labs/15.3.02%3A_Chapter_3_LabAre the values of the sample mean and median consistent with the shape of the histogram? What is more unusual: a "hot" instructor with an Overall Rating of 3.5 or a "not hot" instructor with an Overal...Are the values of the sample mean and median consistent with the shape of the histogram? What is more unusual: a "hot" instructor with an Overall Rating of 3.5 or a "not hot" instructor with an Overall Rating of 3.5? Using the Empirical Rule, between what two Average Overall Quality Ratings would you find 68% of the "not hot" instructors? What is more unusual: a "Foothill" instructor with an Overall Rating of 2.3 or a "De Anza" instructor with an Overall Rating of 2.3?
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/14%3A_Correlation_and_Linear_Regression/14.03%3A_Estimating_the_Regression_Model_with_the_LeastSquare_LineWe now return to the case where we know the data and can see the linear correlation in a scatterplot, but we do not know the values of the parameters of the underlying model. The Sum of Squared Residu...We now return to the case where we know the data and can see the linear correlation in a scatterplot, but we do not know the values of the parameters of the underlying model. The Sum of Squared Residual Errors (SSE) for this line is 38.578, making it the “best line”. (Compare to the value above, in which we picked the line that perfectly fit the two most extreme points).
- https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Inferential_Statistics_and_Probability_-_A_Holistic_Approach_(Geraghty)/00%3A_Front_Matter
