Warm Up A 2007 paper examined the effects of logging on the local squirrel population. Plots of land, each 9 hectares in area, were randomly assigned to different levels of logging and the squirrel population density was measured after 3 years. % Logged Squirrels % Logged Squirrels 0 14.5 0 18.0 10 12.5 10 15.5 20 11.5 20 14.0 30 10.5 30 12.5 40 9.5 40 10.0 50 10.0 50 12.0 60 7.0 60 5.5 Check if the conditions for inference for regression are met.
Practice A 2007 paper examined the effects of logging on the local squirrel population. Plots of land, each 9 hectares in area, were randomly assigned to different levels of logging and the squirrel population density was measured after 3 years. % Logged Squirrels % Logged Squirrels 0 14.5 0 18.0 10 12.5 10 15.5 20 11.5 20 14.0 30 10.5 30 12.5 40 9.5 40 10.0 50 10.0 50 12.0 60 7.0 60 5.5 Calculate the 95% confidence interval for the slope.
Practice The following data compares the average number of texts sent per day with the age of a random sample of 21 adult cell phone users. Age Texts Age Texts Age Texts 55 20 33 35 28 41 60 3 38 4 21 86 55 2 19 140 24 98 30 38 33 27 32 56 37 19 52 34 41 62 22 116 46 73 64 11 29 82 49 14 27 126 Use the 4 step process to construct the 95% confidence interval for the slope of the true regression line.
Beanie Baby Bungee Jumping Each table will get a beanie baby, a selection of rubber bands (bungee cords) and a measuring tape. You will measure the maximum height your beanie baby can bungee jump with a different number of rubber bands attached to its ankle. Based on the LSRL and your estimate of the slope, you will estimate how many rubber bands your beanie baby would need to bungee jump from the ceiling to the floor.
Beanie Baby Bungee Jumping I will demonstrate how to attach the rubber bands so your beanie baby can bungee jump. Measure the maximum distance your beanie baby will bungee jump with 1, 2, 3, 4 and 5 rubber bands. Take 2 data points for each number of rubber bands. You will generate 10 total data points. After collecting the data you will calculate the 95% confidence interval for the slope.
Beanie Baby Bungee Jumping Everyone will turn in their own analysis report. Your analysis should include: 1) Your 10 data points and a scatterplot of the data. 2) The LSRL and the correlation coefficient r. 3) Construct the full 95% confidence interval for the value of Beta (assume conditions are met). 4) Based on your data, an estimate for the number of rubber bands needed for your beanie baby to bungee jump safely from the ceiling to the floor.