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Learning to do Linear Regressions
Exploring Data on the TI-84
The average height in inches of United States children from ages 7 to 15 is given:
Age (yrs.) |7 |8 |9 |10 |11 |12 |13 |14 |15 | |Height (in.) |46.97 |48.43 |52.00 |53.98 |55.98 |57.99 |60.00 |62.01 |63.86 | |to enter the data STAT, 1:Edit, enter data into L1 and L2
1. to set up the plot of the data 2nd ,STAT PLOT, 1:PLOT1, ENTER
On
Type: scatter
Xlist: L1
Ylist: L2
Mark (any)
2. to graph the scatter plot ZOOM , 9: ZoomStat
3. to turn on correlation coefficient CATALOG DiagnosticON ENTER
4. to find the linear regression STAT, CALC, 4:LinReg(ax+b) L1, L2, y1
and paste it into the y1 (found under VARS,Y-VARS,1:Function, 1:Y1)
equation on the home screen
Analysis:
1. What is the slope of the line? (Round answer 3 places behind decimal and include units.) In a complete sentence, explain the real-world meaning of this slope. (In discussion round to nearest whole number.)
2. What is the y-intercept? (Round answer 3 places behind decimal and include units.) In a complete sentence, explain the real world meaning for the y intercept. (In discussion round to nearest whole number.) Is this reasonable?
3. What is a reasonable domain and range? Explain why you chose these and include units.
4. Interpolate to find the average height of a 9½-year-old child. (Express answer in feet and inches.) Is it feasible to use this model to find this answer? Explain.
5. Extrapolate to find the height of a 25 year old. (Express answer in feet and inches rounding to the nearest ½ inch.) Is it feasible to use this model to find this answer? Explain.
6. Use the model to determine the average age of a child (in years and months) who is 55 in. tall. Is it feasible to use this model to find this answer? Explain.
7. Discuss the correlation coefficient and if...
Exploring Data on the TI-84
The average height in inches of United States children from ages 7 to 15 is given:
Age (yrs.) |7 |8 |9 |10 |11 |12 |13 |14 |15 | |Height (in.) |46.97 |48.43 |52.00 |53.98 |55.98 |57.99 |60.00 |62.01 |63.86 | |to enter the data STAT, 1:Edit, enter data into L1 and L2
1. to set up the plot of the data 2nd ,STAT PLOT, 1:PLOT1, ENTER
On
Type: scatter
Xlist: L1
Ylist: L2
Mark (any)
2. to graph the scatter plot ZOOM , 9: ZoomStat
3. to turn on correlation coefficient CATALOG DiagnosticON ENTER
4. to find the linear regression STAT, CALC, 4:LinReg(ax+b) L1, L2, y1
and paste it into the y1 (found under VARS,Y-VARS,1:Function, 1:Y1)
equation on the home screen
Analysis:
1. What is the slope of the line? (Round answer 3 places behind decimal and include units.) In a complete sentence, explain the real-world meaning of this slope. (In discussion round to nearest whole number.)
2. What is the y-intercept? (Round answer 3 places behind decimal and include units.) In a complete sentence, explain the real world meaning for the y intercept. (In discussion round to nearest whole number.) Is this reasonable?
3. What is a reasonable domain and range? Explain why you chose these and include units.
4. Interpolate to find the average height of a 9½-year-old child. (Express answer in feet and inches.) Is it feasible to use this model to find this answer? Explain.
5. Extrapolate to find the height of a 25 year old. (Express answer in feet and inches rounding to the nearest ½ inch.) Is it feasible to use this model to find this answer? Explain.
6. Use the model to determine the average age of a child (in years and months) who is 55 in. tall. Is it feasible to use this model to find this answer? Explain.
7. Discuss the correlation coefficient and if...