Skull/Height Project - mrssnowsmath.com

Skull/Height Project - mrssnowsmath.com

Skull/Height Project Make a scatter plot with a reasonable scale for height and head length. Plot the points. Read the instructions FIRST: We will count off by threes. Then we will measure the head (skull height) and overall height of each 2nd person.. Add more rows if needed 1 Height (inches) Y axis Head length (inches) X axis) Height Name 2 3 4 5 6 7 Head length 8 How tall is the shortest person on the table?____ The tallest?_____ inches) Does it make sense to start your graph at 0 inches tall? To end it at 10 feet tall?_____ A reasonable range would be from a height shorter than the shortest and taller than the tallest. Pick a height shorter _______ and taller ______(reasonable 1 range) Count the spaces you have on your y axis and determine a reasonable interval. Label your graph. Likewise, what is the shortest and longest head in your group? Make reasonable DOMAIN intervals on your x axis and then.mark your points in the graph for the people on the table. A trend line does not usually go through the origin or the corner point. It fits the data. Then draw a trend line. (Line of best fit) Did you find any trend or correlation between height and head length? _________________________________ Amelia Earhart Turn to page 72 and read Turn to page 72 of the text. Read Mysterious Findings and answer questions 1-5 on page 73. 1. (means units of measure) ________________ 2. ______________________________ 3.________________________________ The ulna of the shortest girl in our class is _______. The tallest girl is ____The shortest boy is _____The tallest

boy is____. Use this to answer 4 4._________________________________ 5.__________________________________ Note: If you are not familiar with centimeters, you may want to change centimeters to inches. 1 inch = 2.5 cm (approx). This was a nice exercise, but how can we use the height, head length to make a quick approximation of the height of a person if all we find is a skull? This leads us to Measures of Central Tendency ( MCT). Lets try something first: Lets find the mean, median and mode of the height of everyone in the class. Definitions: Mean:_________________________ Median________________________ Mode:_________________________ Range__________________________ Outlier __________________________ Assign one person to find the mode, one find the range, one find the median and the rest find the mean of the information on our table. Have the others in your group find the mean. Definition of ratio: A comparison of two numbers by division. 2 Mean of height:_______ Mean of head length: _________ Lets do it a better way!!!!!!!!! Ratio of Height/head___________________ Median height: _________Median head length:_________

Ratio of Height/Head _________________ Mode height: _________ Mode head length:___________ Ratio of height/head _________________ Range of height:________Range of head length:________ Ratio of Height/Head________________ Now, we will use Mrs. Craft/Snow and see which measures of Central Tendency come the closest . Head____________ Height_______________ Lines of best Fit On your graph you need to draw a line of best fit or a trend line or correct the one you drew if it does not conform to these rules. What a line of best fit IS NOT: A line of best fit is not some sloppy crooked line you slop down on your graph. Unless your line of best fit has a point very close to the origin, it WILL NOT GO THROUGH THE ORIGIN. A line of best fit rarely has a y intercept at the origin. To get a line of best fit, you carefully draw a line that fits in the points on your graph as they cluster. You may have outliers that cannot be made to reconcile with your line of best fit. That is okay. Make sure your line of best fit goes to the Y axis. Draw it on your graph now. What is the y intercept _________ What is the slope of your line? Pick two points on the line that cross close to an intersection on the graph. Point 1( , ) Point 2 ( , ) Ratio Height/Head _________Which MCT is the closest to height/head?__________________ Based on this experiment, do you think that there is a scientific basis for prediction the height of a person from just measuring their head height? ________________________ Lets try it by taking the measurement of a different student and try to predict their height using our ratios. Head length______________ Height based on Mean _____ Height based on median____

Height based on Mode_____Height based on range ______ Actual Height_________Closest?_____________________ y2 y1 x2 x1 slope Write an equation Y = Slope x + y intercept y = _____x + _______ That is about the best we can do but the calculator can do it better. 3 Before you do number nine, graph on the graph next to this and answer the questions below it 9. Now graph your equation using the Y= key on the calculator. Press graph. What do you see? ___________________________________ If you did it correctly, you see nothing. We must set the window. To set your window, see appendix 3. Use the same domain, range and interval values as your graph except Use a number slightly smaller and larger so you will be able to see your beginning and ending points!!!!! You may need to play around with your window to get all 8 points showing. Now go back to y= and add one feature. We want to see our points on the graph. So>>>>use the up arrow key so that there is a black box around plot 1. Now press graph. You should have a graph with some boxes for your points and a line of best fit (trend line). If not, call me over. Now compare it to the graph you drew. How close was your equation to the calculators equation? _______________________________ How close was your line of best fit to the calculators?_____________________________ 1. 2. 3. 4. 5. Label your x and y axis and put in your domain and range intervals. I DO NOT WANT TO SEE EVERYTHING SCRUNCHED IN A CORNER>>>USE THE WHOLE GRAPH Plot your points 3. Draw a line of best fit. What is the y intercept of your LOBF ______ Use the slope formula and find the slope of your LOBF 6. Write an equation y = ______x + ______ 4

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