Question

X(#of sheets)	55	14	32	50	48	98	138	49	85	54
Y in mm	5	2	3	6	6	14	17	5	10	9

Step 1 Pinch some pages together. Measure the thickness of the bunch as accurately as you can corresponding number of sheets in the following table in mm. List this thickness with the Step 2: Repeat step 1 for at least 10 pinches, using different number of sheets each time X (#of sheets) in mm Step 3: On a sperate piece of paper, plot your data on a horizontal axis and thickness on the vertical axis. Make sure to scale your axes. scatterplot, with number of sheets on the If not, discuss why Step 4: Does the plot look linear? again. If so place a straight line on the plot in a such a way that it fits through the cloud of points, according to the best of your judgment. (Hint: if there were no pages in your "pinch" the thickness would be 0.) not and take your measurements V 11 Step 5: Find the slope of your line. (rise /run) relates to this slope explain how the thickness of a page Give the equation of your line in the slope- Step 6: What is y-intercept for this line? intercept form. (y mxb) Step 7: Use the equation in step 6 to approximate the thickness of pinch that is 300 sheets. pinch that is 3 cm Step 8: Use the equation in step 6 to approximate how many sheets are in a

Answer 1

So 8b 8t 138 32 4 55 &S S4 X Sneets 3 2 S (rutress Scal e K-axis--Scm-20 unitz in mm Y-axis cm- )nnil- 13 16 IS Line Cit miktness 13 (mom) 12 4 2 X 140 20 60 2o 4 0 mo a pages

plot dooks Lineas, . Ves he Calculating Regression dine (simple) -> ohese m- Slope b- y- intescept R-MCy-My) X-Mx y-My -73 -27 S3 29 55 IEbl -5- 48-3 2332.89 2 14 918.09 2.4 32 -30-3 S 29 -12.3 So 2o4.49 24.3 -14.3 bh -ht7 224.9 3S 14 S¥30 49 9.3 Fo4 0 38 ESt 3S-a -2-3 136 89 -13-3 S2-2 2-3 SIS 29 22.3 10 S4 -8:3 6 8.89 3 -o-39 Ex 623 2y= 623 Mean o x= Mx = 62:3 Mean o y = My = 7} )426- EC-MxMy) 1483-9 o

Slope Cm) (x-Mx)y-My) b.88 =0-130 3) 1426 y-intercapt My-m. My - }* - (o-1303) x 62-2) b Line equation cehich tite data is 13031 x)-O 41812 Step s Slope = D130 3). in thicknesS. Jt Tells e that amcunt f change unit incoeaSe expectecd to xesult from a hat Can be in Sheets O.3031 a a by So thicEness O page incs€aSe8 Sheels unit mcsease in Step 6 yntescpt -O4181 2 eauaton t dine > g= 0- 1303) -o.41812

Slep 1 TMIctness pinch , when Cheets 300 g=? O.1303) X- O'Y18 2 1203300)- O.418 2 39.093-O.418 2 38.6148 y mm TicEness o pinch 3cm Steps 30 = O 303) X -04182 30.418 2 O 303) = 30.418 2 233. 429 O-1303 233 pages