** take out your calc and 4 - 14 thru 4 -...

CH 4 TREND LINE EXTENSION and Intersection finished 201516.notebookNovember 06, 2015

GOOD DAY ALG students:

** Let's visit the graphing calc trend line activity to elaborate....

** TAKE OUT YOUR CALC and 4 - 14 thru 4 - 19

YOTL: 2 problems...maybe done in class

4.1.1: Solving Word Problems by Writing Equations



Calculator Set‐up:


Problem 4‐4:Let x = the # of years the tree is aliveLet y = the height of the tree(feet)

Amy's Tree: y = 1.75xCharles' Tree: y = 1.5x + 3



Problem 4‐10:y = ‐x + 2y = 3x + 6

To get a "normal" window again. . .

Press


Problem 4‐8:


CH 4 EXT Activity Lab Finding A line of Best Fit

You will need your TI84 calculator.

Today's Target

I Can......use graphing calculators to create a scatter plot and a line of best fit given a set of data....use a trend line on a graphing calculator to create and make predictions from a given set of data.

CH 2 EXTENSION


Interpret Scatter Plots and Trend LinesThe table shows the dosage of a particular medicine as related to a person's weight. Graph a scatter plot of the given data.

Technology Lab 4.5

Weight (lb) 90 100 110 125 140 155 170 180 200

Dosage (mg) 20 25 30 35 40 53 60 66 200

Suppose we want to predict the dosages for persons weighing 240 pounds and 146 pounds. The calculator can do this for us if we know how to tell it to use 240 or 146 for x.

75

To enter the data:Press S and select 1: Edit.

In L1, enter the first weight. Press e Continue entering all weights.

Use > to move to L2. Press e. Continue entering all dosages.

To view the scatter plot, press ̀ !. Select Plot 1.

Select On, the first plot type, and the plot mark +.

Press #. Select 9:ZoomStat. You should see a scatter plot on the data.

Directions for Graphing Trend Lines on the TI84 with the StatWizards OnWeight (lb) 90 100 110 125 140 155 170 180 200

Dosage (mg) 20 25 30 35 40 53 60 66 200 75


Determine the trend line.The calculator can determine the equation of the line of best fit for the data that you entered.

Press M : to find STAT WIZARDS and scroll over to "on" and hit e

Press and scroll to CALC

Choose 4: LinReg(ax+b)

**ALSO TURN ON STAT DIAG

Determine the trend line.The calculator can determine the equation of the line of best fit for the data that you entered.

Press `1 and ̀ 2 to enter L1 and L2 as your Xlist and Ylist.

Scroll down to Store RegEQ: and Press v and scroll over to YVars, choose 1:Functions and 1:Y 1.

NEW SHORTCUT: ALPHA TRACE TO GET TO CALC TO OBTAIN Y1


Press %

Press ! to see the equation that was graphed.

Scroll down to CALCULATE

Press e

This would be the equation


Get back to the home screen by pressing ̀ M.

Now press

ALPHA TRACE TO GET TO CALC TO OBTAIN Y1

yotl : #1Amy and her parents are visiting a university 205 miles from their home. As they travel, Amy uses the car odometer and her watch to keep track of the distance. A. Make a Scatter Plot in your calc. B. Describe the correlation...and r C. Draw a trend line for the data and predict the distance Amy would have traveled going to a university 4 hours away. WRITE THE EQUATION

D. Is the value you found interpolated or extrapolated...explain.

THIS IS YOUR HW....YOTL #1....all in your calculator....in yesterday's notes.


YOTL: Problem on graphing calculator to create a scatter plot and a line of best fit given a set of data.

Month 1 2 3 4 5 6 7 8

Price ($) 32 35 37 41 46 50 54 59

The table shows the price of a stock over an 8month period. Graph a scatter plot of the given data. Draw the trend line. Then predict what the price of one share of stock will be in the twelfth month.

12

a) LOBF (aka linear reg line): ______________

b) price of stock in 12th mo. ___

Graphing Activity YOTL: Name _______________ Per____


a) Is there a relationship between the fat grams and the total calories in fast food? __________

b) LOBF _____________________

c) r = ______ means _____________________

YOTL: #2

Attachments

highway stats.xls

Licensed Drivers and Population

4599030

670053

6166318

2810872

36457549

4753377

3504809

853476

581530

18089888

9363941

1285498

1466465

12831970

6313520

2982085

2764075

4206074

4287768

1321574

5615727

6437193

10095643

5167101

2910540

5842713

944632

1768331

2495529

1314895

8724560

1954599

19306183

8856505

635867

11478006

3579212

3700758

12440621

1067610

4321249

781919

6038803

23507783

2550063

623908

7642884

6395798

1818470

5556506

515004

Total Population (Source: Bureau of the Census)

Licensed Drivers (FHWA)

Licensed Drivers and Population

3665180

489024

4032643

2034975

23021279

3341275

2805124

619877

357569

13988630

5906834

867375

1008016

8071253

4246189

2040873

2003112

2896460

3014191

1005160

3694290

4711735

7112992

3086610

1929636

4139632

723976

1327916

1626021

1027582

5834227

1338246

11146367

6315667

468711

7739410

2264151

2767291

8526204

741921

3067747

582517

4387883

14906701

1619085

532041

5210685

4790864

1335303

4049450

390538

Data

LICENSED DRIVERS AND TOTAL POPULATION - 2006

OCTOBER 2007

TOTAL DRIVERSPOPULATION 4/

TOTALDRIVING AGE (16 AND OVER)

STATERESIDENTMALEFEMALETOTAL

Alabama3,665,1804,599,0301,719,7061,888,4073,608,113

Alaska 2/489,024670,053246,295243,627489,922

Arizona4,032,6436,166,3182,326,5942,368,6364,695,230

Arkansas 2/2,034,9752,810,8721,061,7231,133,9342,195,657

California23,021,27936,457,54913,772,85114,087,24527,860,096

Colorado 2/ 3/3,341,2754,753,3771,834,3531,849,3333,683,686

Connecticut2,805,1243,504,8091,333,7011,447,6842,781,385

Delaware619,877853,476319,593350,915670,508

Dist. of Col.357,569581,530218,535257,923476,458

Florida13,988,63018,089,8887,014,7377,467,77114,482,508

Georgia5,906,8349,363,9413,446,3963,677,2837,123,679

Hawaii867,3751,285,498468,805508,166976,971

Idaho1,008,0161,466,465555,982557,9781,113,960

Illinois 2/8,071,25312,831,9704,844,1165,121,1429,965,258

Indiana 2/ 3/4,246,1896,313,5202,395,7902,523,3794,919,169

Iowa2,040,8732,982,0851,152,4071,205,1892,357,596

Kansas2,003,1122,764,0751,042,9511,091,1502,134,101

Kentucky2,896,4604,206,0741,591,1841,711,4493,302,633

Louisiana3,014,1914,287,7681,579,8601,729,7053,309,565

Maine 2/1,005,1601,321,574518,561556,3921,074,953

Maryland3,694,2905,615,7272,076,3192,308,2684,384,587

Massachusetts4,711,7356,437,1932,462,4782,696,7855,159,263

Michigan7,112,99210,095,6433,854,6284,064,5747,919,202

Minnesota3,086,6105,167,1012,001,4572,058,5234,059,980

Mississippi1,929,6362,910,5401,057,1091,171,2882,228,397

Missouri4,139,6325,842,7132,204,2642,376,7644,581,028

Montana723,976944,632372,196379,010751,206

Nebraska1,327,9161,768,331670,233698,5711,368,804

Nevada1,626,0212,495,529971,786949,4851,921,271

New Hampshire1,027,5821,314,895515,097539,6461,054,743

New Jersey5,834,2278,724,5603,314,0513,561,1086,875,159

New Mexico1,338,2461,954,599726,959767,8671,494,826

New York11,146,36719,306,1837,301,2438,008,04215,309,285

North Carolina6,315,6678,856,5053,275,6033,570,4536,846,056

North Dakota468,711635,867249,301253,805503,106

Ohio7,739,41011,478,0064,346,4444,687,3289,033,772

Oklahoma2,264,1513,579,2121,339,3901,425,7332,765,123

Oregon2,767,2913,700,7581,453,0751,493,1732,946,248

Pennsylvania8,526,20412,440,6214,792,4045,196,2069,988,610

Rhode Island741,9211,067,610407,841449,578857,419

South Carolina3,067,7474,321,2491,607,1581,766,7213,373,879

South Dakota582,517781,919300,130307,598607,728

Tennessee4,387,8836,038,8032,284,6522,463,0634,747,715

Texas14,906,70123,507,7838,656,8548,944,19617,601,050

Utah1,619,0852,550,063913,749922,2471,835,996

Vermont532,041623,908247,873260,780508,653

Virginia5,210,6857,642,8842,822,1743,084,5965,906,770

Washington4,790,8646,395,7982,452,8232,543,7304,996,553

West Virginia1,335,3031,818,470715,168761,1771,476,345

Wisconsin4,049,4505,556,5062,172,2502,233,9734,406,223

Wyoming390,538515,004203,630201,624405,254

Total202,810,438299,398,484113,212,479119,923,220233,135,699

1/ Include restricted drivers and graduated driver licenses.3/ Colorado and Indiana did not report 2006 data; used 2005.

2/ Age and/or sex segregation estimated by FHWA.4/ Source: Bureau of the Census.

Data (2)

LICENSED DRIVERS AND TOTAL POPULATION - 2006

TOTAL DRIVERSTOTAL RESIDENTS

STATE

Alabama3,665,1804,599,030

Alaska 2/489,024670,053

Arizona4,032,6436,166,318

Arkansas 2/2,034,9752,810,872

California23,021,27936,457,549

Colorado 2/ 3/3,341,2754,753,377

Connecticut2,805,1243,504,809

Delaware619,877853,476

Dist. of Col.357,569581,530

Florida13,988,63018,089,888

Georgia5,906,8349,363,941

Hawaii867,3751,285,498

Idaho1,008,0161,466,465

Illinois 2/8,071,25312,831,970

Indiana 2/ 3/4,246,1896,313,520

Iowa2,040,8732,982,085

Kansas2,003,1122,764,075

Kentucky2,896,4604,206,074

Louisiana3,014,1914,287,768

Maine 2/1,005,1601,321,574

Maryland3,694,2905,615,727

Massachusetts4,711,7356,437,193

Michigan7,112,99210,095,643

Minnesota3,086,6105,167,101

Mississippi1,929,6362,910,540

Missouri4,139,6325,842,713

Montana723,976944,632

Nebraska1,327,9161,768,331

Nevada1,626,0212,495,529

New Hampshire1,027,5821,314,895

New Jersey5,834,2278,724,560

New Mexico1,338,2461,954,599

New York11,146,36719,306,183

North Carolina6,315,6678,856,505

North Dakota468,711635,867

Ohio7,739,41011,478,006

Oklahoma2,264,1513,579,212

Oregon2,767,2913,700,758

Pennsylvania8,526,20412,440,621

Rhode Island741,9211,067,610

South Carolina3,067,7474,321,249

South Dakota582,517781,919

Tennessee4,387,8836,038,803

Texas14,906,70123,507,783

Utah1,619,0852,550,063

Vermont532,041623,908

Virginia5,210,6857,642,884

Washington4,790,8646,395,798

West Virginia1,335,3031,818,470

Wisconsin4,049,4505,556,506

Wyoming390,538515,004

Total202,810,438299,398,484

1/ Include restricted drivers and graduated driver licenses.3/ Colorado and Indiana did not report 2006 data; used 2005.

2/ Age and/or sex segregation estimated by FHWA.4/ Source: Bureau of the Census.

SMART Notebook

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** take out your calc and 4 - 14 thru 4 -...

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