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Casio TEAMS Grant Algebra Lessons I

SITE-A Teams: Lessons 1

Student #     Study time (hrs)     Quiz grade
    1               2.00               65
    2               3.00               70
    3               3.50               75
    4               4.00               90
    5               5.00               92
    6               3.75               90
    7               4.00               88
    8               4.50               92
    9               3.50               81
   10               5.50               98
  

Is there a relationship between the number of hours spent preparing for the quiz and the quiz grade?

Let x be the number of hours spent preparing for the quiz, and let y be the respective quiz grade. 
Let's do a scatterplot of these data.

1. Turn on the CASIO FX7400G.
   AC/ON
   
2. Use your cursor arrows to highlight the STAT menu and press EXE 
   or just press 2 when at the main menu screen.
   
3. Use your cursor arrows to move to the first cell in List1 and enter the study time for each student. After entering a time make sure to press EXE to go down to the next cell.
   
4. Use your cursor arrows to move to the first cell in List2 and enter the respective quiz grades for each student. After entering a grade make sure to press EXE to go down to the next cell.

Now we have to set the viewing window for our scatterplot.

1. Press Shift F3 (V-Window).
   
   Set up the viewing window as follows:
    

      Xmin: 0     Ymin:  57.5
      max : 5.85  max : 103.5
      scl : 1     scl :  10
   

    
2. Press QUIT 
3. Press F1 (GRPH)
4. Press (Green more key)
5. Press F4 (SET)

Scroll down and set the parameters as follows:

StatGraph1

     G-Type:     Scat     Press F1 if necessary.
     XList :     List1    Press F1 if necessary.
     YList :     List2    Press F2 if necessary.
     Freq  :     1        Press F1 if necessary.
     M-Type:     x        This is your choice.

1. Press
2. Press F1 (GRPH)
3. Press F1 (GPH1)

Scatterplot will appear.
There appears to be a linear relationship between the time spent studying for the quiz and the quiz grade.

Use linear regression to find the "least-squares" line through the data.

1. Press F1 ( X )
   
   What appears is:
   

        LinearReg
        a = 10.0631
        b = 45.1052
        r = 0.92289
   
        y = a x + b 

2. Copy this equation into the grapher.
3. Press ( COPY )
4. Find an empty slot and press

This stores the linear equation into the grapher and marks it as selected for graphing.
Now we are back in the STAT and we can draw the line among the data points by pressing (DRAW).

Which three data points are closest to the line that has been drawn on the screen of the CASIO FX7400G?

1. Press (Trace).
2. Use the right cursor arrow to move the "cross hairs" through the data points until you find the three that you believe are closest to the line.

My answers are (2, 65), (4.5, 92), and (3.5, 81).

Go to the GRAPH menu and trace along the line itself so as to make some projections about a student who might have studies 2.25 hours of 4.8 hours.

1. Press
2. Use your cursor arrows to highlight the GRAPH menu and press
   or just press when at the main menu screen.
3. Press (DRAW)
4. Press (Trace).
5. Use your right cursor arrow to move to where x = 2.25 and x = 4.8.

My answers are (2.25, 67.747) and (4.8, 93.408).

This is to say a student who studied 2.25 hours might expect a quiz grade of 68%, while a student who studies 4.8 hours might expect a quiz grade of 93%.

Press  
Press (SEL) This will de-select the equation.
Press

Turn off the CASIO FX7400G
(OFF)