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$100 $400 $300 $200 $400 $200 $100$100 $400 $200$200 $500$500 $300 $200 $500 $100 $300 $100 $300 $500 $300 $400$400 $500
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Linear Correlation
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Linear Regression
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Non-linear regression
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Cause & Effect
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Critical Analysis
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Linear Regression Non-linear regression Cause & Effect Critical Analysis $100 $300 $300 $300 $300 $200 $400 $400 $400 $400 $500 $ Linear Correlation
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CATEGORY 1 - $100 Is there any correlation between the following set of data (x, y)? If so what type of correlation exists between them? {(1,55), (2,75), (4,89), (5,93), (7,87), (9,111)}
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CATEGORY 1 - $200 {(1,55), (2,75), (4,89), (5,93), (7,87)} Draw the line of best fit (using the eyeball method) and state the coefficient correlation for the following set of data:
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CATEGORY 1 - $300 What is the linear correlation between height and salary. What is the correlation between prey and predator.
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CATEGORY 1 - $400 Age 1 2 3 4 Height(cm) 50, 56, 66 30, 57, 80, 86, 89 90, 76,87, 86 Create a scatter plot and determine the coefficient correlation for the following set of data:
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CATEGORY 1 - $500 Hemad wanted to determine the correlation between hours spent studying and his marks on examination. Based on his data what is the correlation? Hours 4 2 3 4 5 6 For the Gr. 9 Math course Final Mark 86 77 73 87 92 89
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CATEGORY 2 - $100 {(1,55), (2,75), (4,89), (5,93), (7,87), (9,111)} Determine the equation of the line of best fit independent and dependent variables:
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CATEGORY 2 - $200 What is the commonality between r = - 0.31 and an r = 0.1?
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CATEGORY 2 - $300 Determine the equation of the line of best fit using the least squares method for the following dataset excluding any outlier(s). {(1,55), (2,75), (4,89), (5,93), (7,87), (9,111)}
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CATEGORY 2 - $400 Determine the equation of the line of best fit for: Femur vs. Tibia length 11 12 8 14 9 15 7 13 5
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CATEGORY 2 - $500 Femur vs. Tibia length 11 12 8 14 9 15 7 13 5 Determine the equation of the line of best fit for (if you have already done so) is this a good model:
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CATEGORY 3 - $100 Define the non-linear correlation between the ball time vs. ball height? Time vs. ball height 1 11 2 14 4 20 6 14 7 12
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CATEGORY 3 - $200 Time vs. ball height 1 11 2 14 4 20 6 14 7 12 Using the vertex point (4,20) and the point (1,11) perform a quadratic regression between the ball time vs. ball height (determine r 2 )?
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CATEGORY 3 - $300 Time vs. Investment (yrs.) Amount 1 1000 2 1400 3 2000 5 3500 7 4800 Define the non-linear correlation between the time vs. Investment amount?
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CATEGORY 3 - $400 Time vs. Investment (yrs.) Amount 0 1000 1 1400 2 2000 4 3700 6 7800 Using the point (0,1000) and the point (2,2000) perform a an exponential regression between the time vs. investment amount (determine r 2 )?
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CATEGORY 3 - $500 Why is it inaccurate to compare an exponential regression which yields an r 2 value of 0.987, with a quadratic regression excluding an outlier which yields an r 2 value of 0.998?
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CATEGORY 4 - $100 Define Common-Cause Factor as it refers to an extraneous variable?
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CATEGORY 4 - $200 Give an example of a Reverse Cause-and-Effect.
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CATEGORY 4 - $300 Identify the most likely type of causal relationship between each of the following pairs of variables: * Good Part-time job vs. University acceptance
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CATEGORY 4 - $400 Give an example of an experiment which would requires an experimental and control group and Why are these groups important in the study?
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CATEGORY 4 - $500 Define The placebo effect and explain why pharmaceutical research studies often include it.
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CATEGORY 5 - $100 In an attempt to poll people on who they think will be the next Prime Minister? What is the best method of choosing a sample population, which will yield the smallest bias? Explain?
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CATEGORY 5 - $200 Explain the danger of blindly using curve-fitting techniques as mathematical models.
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CATEGORY 5 - $300 Often in professional sports, when a league expands (admits new teams), the existing teams collectively enjoy greater success at the expense of the new teams. Suppose that a certain professional league underwent a major expansion during 1994–1995. a) Explain how this expansion might act as a hidden variable when examining the progress of an existing team over the 1990s decade.
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CATEGORY 5 - $400 Some studies exclude the highest and lost outliers when performing a regression. Explain when is this practice okay to use?
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CATEGORY 5 - $500 Give an example of a dataset that contains five set of different data values that exhibits a positive linear relationship and a quadratic regression with r 2 = 0.96 )
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$ Answer CATEGORY 1 - $100 Judging by the scatter plot this is a positive linear relationship.
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$ Answer CATEGORY 1 - $200 r = 0.8077
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$ Height and salary – weak positive Prey and predator – strong negative Answer CATEGORY 1 - $300
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$ Answer CATEGORY 1 - $400 r = 0.73893
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$ Answer CATEGORY 1 - $500 r = 0.8244
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$ Answer CATEGORY 2 - $100
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$ Answer CATEGORY 2 - $200 r = -0.31 and r = 0.1 are both Weak relationships, even thought One is negative and one is positive.
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$ Answer CATEGORY 2 - $300 Excluding (7, 87) you Get y = 6.40x + 57.7
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$ Answer CATEGORY 2 - $400 y = -0.7x + 17.1
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$ Answer CATEGORY 2 - $500 Age vs. Height This linear model y = -0.7x + 17.1 is not a good model because r 2 = 0.245 and r = -0.4949
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$ Answer This model would best be represented by a quadratic regression. CATEGORY 3 - $100
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$ Answer CATEGORY 3 - $200 y = -(x-4) 2 +20 Yields r 2 =
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$ Answer This model would best be represented by an exponential regression. CATEGORY 3 - $300
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$ Answer CATEGORY 3 - $400 y = 1000(1.414214) x Yields r 2 =
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$ It is inaccurate to compare an exponential regression which yields an r 2 value of 0.987, with a quadratic regression excluding an outlier which yields an r 2 value of 0.998 because if we exclude the outlier from the exponential regression we might get a better regression than the quadratic. CATEGORY 3 - $500 Answer
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$ CATEGORY 4 - $100 Answer Common-Cause Factor – An external variable causes two variables to change in the same way.
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$ Answer CATEGORY 4 - $200 May vary – think of a relationship and reverse it. Salary vs. Age (Reverse Cause-and-Effect) It should be: Age vs. Salary
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$ Answer CATEGORY 4 - $300 There is Common-Cause Factor – An external variable (such as hard work) which causes Good Part-time job and University acceptance
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$ Answer Answers may vary. An example must require a clear relationship which can assess the correlation. CATEGORY 4 - $400
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$ Answer CATEGORY 4 - $500 The placebo effect occurs when an ineffective drug is administered to a subject who exhibits a positive reaction to the drug. Often in medical research studies, a placebo is administered to the control group, while the experimental group is given the real medicine, to show that the product works.
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$ Answer Random sampling along with multistage and large sample, since everyone in the population has an equal chance of being chosen. CATEGORY 5 - $100
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$ Answer CATEGORY 5 - $200 The danger of blindly using curve- fitting techniques as mathematical models, is that the curve will produce a poor correlation.
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$ Answer This expansion might act as a hidden variable when examining the progress or slump of a team because in comparing statistics to other teams from one year to the next there will be more teams to compare in the standings after the expansion and this the comparison will not be consistent. CATEGORY 5 - $300
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$ Answer CATEGORY 5 - $400 The practice of excluding the highest and lost data values (outliers) is okay to use, when there is large amount of data collect and even then this places the study in jeopardy if it is not done properly.
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$ Answer May Vary. CATEGORY 5 - $500
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FINAL CATEGORY $
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INSERT FINAL QUESTION (ANSWER) HERE $
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WHAT OR WHO IS THE FINAL ANSWER? FINAL CATEGORY $
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END OF GAME Daily Doubles and usage notes follow...
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Contestant 1 Contestant 2 Contestant 3 $ $ $
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JEOPARDY! Slide Show Setup The font for the question & answer slides is “Enchanted;” a copy of this font in located in the “REAL Jeopardy Template” folder or included in the “jeopardy_pc.zip” file. (This font will need to be installed in the C:/WINDOWS/FONTS folder of the computer running the show.) In order to keep all of the sounds and fonts together, copy the entire “REAL Jeopardy Template” folder or “jeopardy_pc.zip” file. To change the categories: –1. Go to the “Edit”menu and choose “Replace…” –2. In the Find box, type CATEGORY X (X being 1 through 5) (all caps). –3. In the Replace box, type the category in all caps (for example, PRESIDENTS). –4. Click Replace All… To change the dollar values (for example to create Double Jeopardy): –1. Go to the “Edit” menu and choose “Replace…” –2. In the Find box, type $X (the dollar value you want to change). –3. In the Replace box, type the new dollar value (with $). –4. Click Replace All...
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JEOPARDY! Slide Show Setup continued To set up the Daily Double: –1. Choose which dollar value(s) to set as Daily Double (normally, Jeopardy has one Daily Double, and Double Jeopardy has two). –2. Go to the Game Board slide (Slide 8), right click once on the dollar value for the appropriate question, choose Hyperlink, and choose Edit Hyperlink. –3. In the Edit Hyperlink window, go to “Named location in file” and click “Browse…” –4. In the Hyperlink to Slide window, scroll down to the appropriate slide; Slides 64 and 65 are regular Daily Doubles, Slide 66 is an Audio Daily Double, Slide 67 is a Video Daily Double. Click “OK.” –5. Go to the Daily Double slide just linked to, and right click once on the answer arrow at the bottom right, choose Hyperlink, and choose Edit Hyperlink. –6. In the Action Settings window, make sure the Hyperlink button (to the left of “Hyperlink”) is selected, and in the select box underneath choose “Slide…” –7. In the Hyperlink to Slide window, scroll down to the appropriate question slide (the original slide number of the question). NOTE: Using the Audio and Video Daily Doubles requires adding audio or video/picture clips to the question slides. If you are not familiar with doing this in PowerPoint, do not use those Daily Doubles.
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Running the JEOPARDY! Slide Show On the game board with the categories on top (Slide 8), click on the desired dollar value. (The first game board is used only to blink in the dollar values like the show.) The question slide will pop up; the slides are timed with an eight-second timer. At the end of the timer, an alarm will chime. ICONS: –? Go to the answer screen. –House Go back to the game board. –Right Arrow (on Daily Doubles) Go to the question screen. –Right Arrow w/ Bar (on Game Board) Go to the Final Jeopardy category. –Turned-up Arrow Reload question screen after incorrect guess. –$ Go to the Scoreboard slide. –Left Arrow (on Scoreboard) Go to the previous slide.
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