SITE-A teams: Lesson 1

 

Ten students prepared for a quiz and kept track of the time that each spent studying. Each reported the number of hours on the quiz and the teacher recorded the quiz grade of each student in the table below:

Student #

1

2

3

4

5

6

7

8

9

10

Study time (hrs)

2.00

3.00

3.50

4.00

5.00

3.75

4.00

4.50

3.50

5.50

Quiz grade

65

70

75

90

92

90

88

92

81

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.

Turn on the CASIO fx7400G.

AC/ON

Use your cursor arrows to highlight the STAT menu and press EXE

or just press 2 when at the main menu screen.

 

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.

 

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.

Press Shift – F3 (V-Window).

 

Set up the viewing window as follows:                          Xmin: 0         Ymin:  57.5

                                                                                           max: 5.85   max: 103.5

                                                                                           s c l: 1              s c l: 10

Press QUIT

 

Press F1 (GRPH)

Press image1b.gif (1704 bytes)(Green more key)

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.

Press image1c.gif (1733 bytes)

 

Press F1 (GRPH)

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.

 

Press F1 ( X )

What appears is: LinearReg

                                a = 10.0631

                                b = 45.1052

                                r = 0.92289

y = a x + b

Copy this equation into the grapher.

Press image1d.gif (1697 bytes)( COPY )

Find an empty slot and press image1e.gif (1717 bytes)

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  image1f.gif (1692 bytes)(DRAW).

Which three data points are closest to the line that has been drawn on the screen of the CASIO fx7400G?

Press image1g.gif (1799 bytes) (Trace).

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.

Press image1h.gif (1733 bytes)

Use your cursor arrows to highlight the GRAPH menu and press image1e.gif (1717 bytes)

or just press image1i.gif (1676 bytes) when at the main menu screen.

Press image1f.gif (1692 bytes) (DRAW)

Press image1g.gif (1799 bytes) (Trace).

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 image1c.gif (1733 bytes)

Press image1j.gif (1688 bytes) (SEL) This will de-select the equation.

Press image1h.gif (1733 bytes)

Turn off the CASIO fx7400G.

 image1k.gif (1829 bytes) (OFF)