Statistic for the Day: Number of People Who Have Barreled Over Niagara Falls and Survived: 9 Assignment: Read Chapter 10 These slides were created by Tom.

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Statistic for the Day: Number of People Who Have Barreled Over Niagara Falls and Survived: 9 Assignment: Read Chapter 10 These slides were created by Tom Hettmansperger and in some cases modified by David Hunter Source:

Results for Exam #1 Mean = 39.7 Median = 42

serving calories 1 reg roast beef 5.5oz beef and cheddar junior roast beef super roast beef giant roast beef chicken breast fillet grilled chicken deluxe French dip Italian sub roast beef sub turkey sub light roast beef deluxe light roast turkey deluxe light roast chicken deluxe Arby’s

Research Question: At Arby’s are calories related to the size of the sandwich? Observational study Response = calories Explanatory variable = small or large sandwich Small sandwich means less than 7 oz (n = 7) Large sandwich means more than 7 oz (n = 7)

There seems to be a difference. (Is it statistically significant?) We can refine the explanatory variable and get more information about the relationship between calories and serving (sandwich) size: Rather than split it into small and large, keep the numerical values of the explanatory variable.

Best fitting line through the data: called the REGRESSION LINE Strength of relationship: measured by CORRELATON

calories = x(serving size in oz) For example if you have a 6 oz sandwich on the average you expect to get about: x6 = = 350 calories For a 10 oz sandwich: x10 = = 590

calories = x(serving size in oz) -10 is called the intercept 60 is called the slope For every extra oz of serving you get an increase of 60 calories

Weight Question: What is the relationship between weight and ideal weight (Stat Spring 04)?

Red line: Weight = Ideal Weight

Yellow “regression” line: Ideal weight = Weight Correlation =.867 R-squared =.752 S=15.17

Red line: Weight = Ideal Weight

Yellow “regression” line: Ideal weight = Weight Correlation =.850 R-squared =.723 S=12.36

Red line: Weight = Ideal Weight

Yellow regression line: Ideal weight = Weight Correlation =.827 R-squared =.684 S=8.14

Mean Mean Median Median Wt. Ideal Wt. Diff.Wt. Diff. Comb Men Women Spring 2004

Fall 2001 Mean Fall 2001 Mean Spring 2004 Mean Spring 2004 Mean Wt. Ideal Wt. Diff.Wt. Diff. Comb Men Women