Inferential statistics and descriptive statistics, Basic Statistics

A team of archeologists have discovered the fossil skull of an extinct and exceptionally large crocodile (sarcosuchus).  Unfortunately, they have not been able to find any bones other than the skull, and, therefore, are not able to determine the length of the body of this extinct species.  The snout of a crocodile which is alive and well in Northern Australia (crocodylus porosus) closely resembles that of the extinct crocodile (sarcosuchus), the crocodylus porosus may be used to estimate the body length of sarcosuchus. Body measurements for the crocodylus porosus were collected and measured in Northern Australia.  The data are available in the file crocodylusporosus.xls Attached with this exam.  The data represent the head length and total body length of several crocodylus porosus.  In this activity, you will use this data to find a regression line which relates head length to total body length and then use this regression line to predict the total body length (in centimeters) of the extinct crocodile from the head length measured from the fossil skull (in centimeters).

Descriptive Statistics

a)  Determine the explanatory variable and response variable.

b)  Create a scatterplot using SPSS and include the regression line on the plot.

c)  Calculate the correlation between head length and body length.

d)  Determine the form, strength and direction of the relationship based on the first three steps.

e)  Find the least square regression equation for this relationship.

f)  If the head length of sarcosuchus is 160 cm, what is the predicted body length of sarcosuchus? (Please ignore that we are extrapolating)

Diagnostics

g)  Calculate R2

h)  Look at the histogram and normal probability plots for the residuals.  When checking these plots, what pattern(s) do you see that might concern you?

i)   Would you conclude that the assumption holds that that the residuals are normally distributed?  Explain. (2 pts).

Inferential Statistics

j)  Can you conclude that there is a linear relationship between head length and total body length in this type of crocodile?  Write out all of the details for the hypothesis test which answers this question.

k) Write out the details for the hypothesis tests to determine if the constant and slope of the Regression Line are meaningful.  Make sure to give your conclusions in both statistical jargon and regular English.

l)  Using the confidence intervals for the constant and slope of the regression line determine the smallest and largest total body lengths you would predict for the extinct crocodile (head length of 160 cm). 

m) On average, one centimeter of head length growth corresponds to how many centimeters of total body length growth in this type of crocodile?

Posted Date: 2/27/2013 12:37:43 AM | Location : United States







Related Discussions:- Inferential statistics and descriptive statistics, Assignment Help, Ask Question on Inferential statistics and descriptive statistics, Get Answer, Expert's Help, Inferential statistics and descriptive statistics Discussions

Write discussion on Inferential statistics and descriptive statistics
Your posts are moderated
Related Questions
Would like to know answer to gametes problem

1. Mention the characteristics of Statistics. Explain any two applications of Statistics.

Angler survey A survey used by sport fishery managers to calculate the total catch, fishing effort and catch rate for the given body of water. For instance, the whole effort m

What is F2 Test, These tests were based on the assumption that the samples were drawn from normally distributed populations, or more accurately that the sample means were normally

Tension: When a sequence, place, cable or a man is presented tight, the ends of the sequence or place (or wire) pull on whatever systems are connected to them towards the sequence.

if the class intervals of data are equal. though it is ranges,do we have to use bar charts keeping a same space between bars or a histogram?

I am Hussain and I have done master in Statistics. Currently I am doing Mphil Statistics from Pakistan. I want to get online Statistics Tutor job. So contact with me as soon as pos

what is the relationship of cost accounting to financial and management accounting?

The researcher and the respondents do not come in contact with each other if this method of survey is adopted Questionnaires are mailed to the respondents with a request to re

Employee portion of Medicare tax Medical health insurance tax is also taken out from a worker's wage or income and is equaled by participation from the company. In other terms,