## 4.6 Hypothesis Testing for Correlation and Regression

Making scatterplots, line of best fit (regression line), and determining strength of a relationship (if it exists)...

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Making scatterplots, line of best fit (regression line), and determining strength of a relationship (if it exists)...

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Using a one-way (single factor) ANOVA to compare multiple groups. The focus here is on the hypothesis test, not the calculation behind the ANOVA....

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Testing two variances using the F distribution...

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Single variance hypothesis testing...

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Testing if two variables are dependent or indepentent with a chi squared distribution...

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Using the chi-squared distribution, run a goodness of fit test to see if a distribution actually matches the claimed distribution...

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Looking for improvement (or a change) in before/after data by doing a hypothesis test for matched pairs. We do a t-test on the average difference, after-before....

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Using the TI-83/84 calculator to conduct a hypothesis test to compare two means for a difference between two groups...

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Using the TI-83/84 calculator to help with the test statistic, conducting a hypothesis test for a single mean with the t-distribution (unknown population standard deviation)...

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Using the student's-t distribution to find critical values, construct a confidence interval for a mean...

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Testing two proportions from two groups to determine if they are the same...

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How to set up a hypothesis test, the logic behind a hypothesis test, and running a test with a claim about a proportion. The video concludes with a brief discussion of type i and type ii errors...

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Estimate a population proportion based on a sample proportion with a confidence interval....

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Finding probabilities for a sample mean using the central limit theorem...

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Finding probabilities on the normal distribution using a table that gives the area between a z-value and the mean...

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Finding probabilities from continuous distributions (focusing on the uniform distribution) by finding the area under the curve....

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Using the Poisson Distribution and the TI-83/84 calculator to find probabilities...

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Defining the Binomial Distribution and calculating probabilities, including cummulative probabilities, using the TI-83/84 Calculator...

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Finding the mean and standard deviation in discrete probability distributions...

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Using tree diagrams and bayes theorem to calculate given probabilities...

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Finding probabilities off a contingency table...

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Basic probability formulas for AND, OR, and GIVEN...

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Finding the "center" of data with the mean, median, and mode. Finding the "spread" of the data with the range, interquartile range (IQR), and standard deviation. Using information about spread to find outliers...

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Making Box Plots and Histograms...

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Levels of Measurement, Types of Data, and Sampling Techniques...

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Basic Statistics vocabulary and frequency tables...

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Finding basic antiderivatives and integrals...

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Using Newton's Method to estimate the solution to a function equal to zero...

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Taking limits of indeterminate forms...

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Finding optimal situations with calculus. Examples include the rectangle problem, the run/swim problem, and the hallway problem...

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Finding limits at infinity. Also graphing using first and second derivative tests...

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Using the first derivative test to find increasing/decreasing regions and the second derivative to determine concavity, we graph a function...

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Finding the points where the instantaneous rate of change is equal to the average rate of change using the MVT...

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Finding maximum and minimum points using critical points and the extreme value theorem (EVT)...

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Approximate the value of a function by using a point near by and its derivative...

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Solving related rate problems by setting up an equation and taking the implicit derivative...

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An introduction to taking partial derivatives in 3D...

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Take the derivative of exponential and logarithmic functions. Also take derivatives of functions that have the variable in both the base and the exponent using logarithmic differentiation....

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Taking the derivatives of inverse functions leads to the discovery of how to take the derivatives of the inverse trigonometric functions...

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Taking a derivative of a relation in x and y that is not a function by implicit differentiation...

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Finding derivatives of composite functions by applying the chain rule...

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Taking (and finding) the derivatives of the basic trig functions...

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Applications of the derivative including velocity, accelartion, marginal cost, marginal revenue, marginal profit, and population change...

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Basic differentiation rules with a focus on the product and quotient rules. Also an application with velocity and acceleration is explored...

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Calculating derivatives using the definition. Graphing the derivative of a function based on when the function is increasing or decreaing...

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Finding the slope and equation of a tangent line at a point x=a...

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Delta Epsilon proofs of linear and quadratic functions...

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Definition of continuity, three types of discontinuity, intermediate value theorem...

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