Barbie project answer key, Cheat Sheet of Mathematics

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Barbie Bungee

Data Table

of Rubber

Bands Jump 1 Jump 2 Jump 3 Average 1 15in 16in 15in 15.3in 2 21in 23in 20in 21. 3 26in 29in 27in 27. 4 31in 33in 32in 32 5 36in 37in 37in 36. 6 41in 43in 43in 42. 7 45in 51in 51in 49 Graph

1. Identify which variable is the explanatory variable and which is the response variable? The explanatory variable is the number of rubber bands, while the response variable is the average distance the barbie has fallen in inches. 2. Describe your distribution (DUFS) There is a strong, positive, linear relationship between the number of rubber bands and distance traveled in inches. There does not appear to be any outliers. 3. Estimate the r value of your distribution. The estimated r value of the distribution must be around .99 as the data displays a strong, positive relationship. A perfect positive relationship is explained by a positive 1, and the data displayed is very linear and positive, therefore an estimate of .99 would be reasonable. 4. What would happen to the correlation (r) if you graphed the scatterplot with the lowest point on the horizontal axis and # rubber bands on the vertical axis? If you were to graph the scatter plot with the lowest point on the horizontal axis and the # of rubber bands on the vertical axis the correlation of r would not change. This is because changing the x and y values does not change correlation. 5. Calculate the correlation using your calculator. Write it below. What is the unit of the correlation? r =. The unit of the correlation is strong and positive. 6. Use your calculator to find the least squares regression line for your data. Write the equation below. predicted average distance the barbie will fall in inches = 10.2 + 5.44(number of rubber bands) 7. What is the slope of your LSRL? Interpret the slope. slope = 5. For every 1 additional increase in number of rubber bands, the predicted distance the barbie falls increases by about 5. 8. What is the y-intercept of your line? Interpret y-intercept = 10. When the number of rubber bands used is x=0, the predicted distance the barbie falls is about 10.2, this must be the height of the barbie. 9. Use the LSRL to calculate and interpret the residual for 4 rubber bands. 10.2 + 5.44(4) = 31. 31.96 = predicted distance traveled with 4 rubber bands actual = 32 32 - 31.96 = 0.