Évaluations - 2, GPA: 4.5
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The default value for freqlist is 1. Each freqlist element counts the number of consecutive occurrences of the corresponding element in list. Complex lists are not valid. • variance( returns the variance of the elements in list. The default value for freqlist is 1. Each freqlist element counts the number of consecutive occurrences of the corresponding element in list. Complex lists are not valid. stdDev(list[,freqlist]) variance(list[,freqlist]) Chapter 11: Lists Cha ChaChaChaChap ChaChaChaChater 12: ter 12:ter 12:ter 12:ter 12: St StStStSta aaaat tttti iiiis ssssti titititics cscscscs G GGGGe eeeetting Star tting Startting Startting Startting Started: P ted: Pted: Pted: Pted: Pe eeeendulum ndulumndulumndulumndulum Lengths and P Lengths and PLengths and PLengths and PLengths and Pe eeeeri ririririods odsodsodsods Getting Started is a fast-paced introduction. Read the chapter for details. A group of students is attempting to determine the mathematical relationship between the length of a pendulum and its period (one complete swing of a pendulum). The group makes a simple pendulum from string and washers and then suspends it from the ceiling. They record the pendulum’s period for each of 12 string lengths.* Length (cm) Time (sec) Length (cm) Time (sec) 6.5 0.51 24.4 1.01 11.0 0.68 26.6 1.08 13.2 0.73 30.5 1.13 15.0 0.79 34.3 1.26 18.0 0.88 37.6 1.28 23.1 0.99 41.5 1.32 *This example is quoted and adapted from Contemporary Precalculus Through Applications, by the North Carolina School of Science and Mathematics, by permission of Janson Publications, Inc., Dedham, MA. 1-800-322-MATH. © 1992. All rights reserved. 1. Press z†††Ito set Func graphing mode. Chapter 12: Statistics 2. Press …5 to select 5:SetUpEditor. SetUpEditor is pasted to the home screen. Press I. This removes lists from stat list editor columns 1 through 20, and then stores lists L1 through L6 in columns 1 through 6. Note: Removing lists from the stat list editor does not delete them from memory. 3. Press …1 to select 1:Edit from the STAT EDIT menu. The stat list editor is displayed. If elements are stored in L1 and L2, press }to move the cursor onto L1, and then press ‘I~} ‘I to clear both lists. Press | to move the rectangular cursor back to the first row in L1. 4. Press 6 E5 Ito store the first pendulum string length (6.5 cm) in L1. The rectangular cursor moves to the next row. Repeat this step to enter each of the 12 string length values in the table. 5. Press ~to move the rectangular cursor to the first row in L2. Press E51 I to store the first time measurement (.51 sec) in L2. The rectangular cursor moves to the next row. Repeat this step to enter each of the 12 time values in the table. Chapter 12: Statistics 6. Press o to display the Y= editor. If necessary, press ‘ to clear the function Y1. As necessary, press }, I, and ~ to turn off Plot1, Plot2, and Plot3 from the top line of the Y= editor (Chapter 3). As necessary, press †, |, and I to deselect functions. 7. Press y , 1 to select 1:Plot1 from the STAT PLOTS menu. The stat plot editor is displayed for plot 1. 8. Press Ito select On, which turns on plot 1. Press †I to select "(scatter plot). Press †yd to specify Xlist:L1 for plot 1. Press †ye to specify Ylist:L2 for plot 1. Press †~I to select + as the Mark for each data point on the scatter plot. 9. Press q9 to select 9:ZoomStat from the ZOOM menu. The window variables are adjusted automatically, and plot 1 is displayed. This is a scatter plot of the time-versus-length data. Chapter 12: Statistics Since the scatter plot of time-versus-length data appears to be approximately linear, fit a line to the data. Since the scatter plot of time-versus-length data appears to be approximately linear, fit a line to the data. Press … ~ 4 to select 4:LinReg(ax+b) (linear regression model) from the STAT CALC menu. LinReg(ax+b) is pasted to the home screen. 11. Press y d . y e.. Press . ~ 1 to display the VARS Y-VARS FUNCTION secondary menu, and then press 1 to select 1:Y1. L1, L2, and Y1 are pasted to the home screen as arguments to LinReg(ax+b). 12. Press I to execute LinReg(ax+b). The linear regression for the data in L1 and L2 is calculated. Values for a and b are displayed on the home screen. The linear regression equation is stored in Y1. Residuals are calculated and stored automatically in the list name RESID, which becomes an item on the LIST NAMES menu. 13. Press s. The regression line and the scatter plot are displayed. Chapter 12: Statistics The regression line appears to fit the central portion of the scatter plot well. However, a residual plot may provide more information about this fit. The regression line appears to fit the central portion of the scatter plot well. However, a residual plot may provide more information about this fit. Press …1 to select 1:Edit. The stat list editor is displayed. Press ~and } to move the cursor onto L3. Press y6. An unnamed column is displayed in column 3; L3, L4, L5, and L6 shift right one column. The Na...