Outliers

  Today's lecture included the topic of outliers. How is a graph changed when and outlier is included or excluded? Since outliers deal with extremes they often bring up political and social issues. The example from class was of salaries at a hypothetical company where the CEO made more then three times as much as […]

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Video links for STAT students.

Dear class, Not all YouTube math videos are created equal!! I will post links to the most useful ones here:   Confidence Intervals: Introduction to confidence intervals When sigma is known When sigma is unknown   Central Limit Theorem: Main idea. Another Example.   If you want me to post more post a comment about […]

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Dear 375 Students: Here is a calendar showing test dates and other info, it will be updated as the semester rolls along. I have contacted the person in charge of rooms, with some luck we should be moving to more spacious digs soon enough! -S. Donovan

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More Hints

Here is the problem: Prove that the volume of a cone, (defined as the set of points on line segments joining a vertex, v, with a set of points in the same plane called the base) with height H, and base area B is . What makes this tricky is at first it seems, with […]

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Hints

Take home #2 Hint: #3 Hint: You can use this trig identity #5 Hint: Consider , where g and h are the position functions of the two runners. #6 Hint: #7 Hint: Induction would be much much harder than L'Hopital. #8 (b)Hint: Use #8 (d)Hint: Divide the square root of x in to each number […]

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Answers to Routine Practice Problems.

This shows how powerful Hospital's rule really is. Recall, that we did a rather long geometric proof of this limit earlier in the semester. So, from that we know it's 1. This is the indeterminate form , consider and this is clearly 1.    Use the conjugate.     We have So, consider:     […]

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Answers to homework.

1. Find an equation of the tangent to the curve that is parallel to x−4y = 1. (It is better to leave the natural log in the equation, don't find a decimal value... Though you may use such value for graphing.) 2. Find an equation of the tangent to the curve that will pass through […]

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