Reference no: EM132359669
Question 1.
The data file BodyfatMales.csv contains data on 252 adult men. The variables are as follows:
Case identifies the individual
Fat percentage of body weight made up of fat
Age age in years
Weight body weight in kilograms
Height height in centimetres
Neck, Chest, etc are circumference measurements in centimetres
(a) Provide a histogram of the men's body weights.
(b) Identify any outliers in the distribution of body weights by stating their Case numbers, and explain why you think they are outliers.
(c) Ignoring any outliers, describe the weight distribution in terms of location, spread and shape.
(d) Including any outliers, provide the mean, median and sample standard deviation for the distribution.
Question 2.
Body fat percentage is difficult to measure accurately, so it would be handy to have an estimate based on something that is easily measured. We will use the data in BodyfatMales.csv to investigate whether abdominal circumference provides a reasonable basis for estimating body fat percentage. The relevant variables are Abdomen and Fat.
(a) For our purposes, which variable is the predictor and which is the response, and why?
(b) Provide a scatterplot of the data. Circle any points that appear to be outliers.
(c) Based only on the graph in part (b), briefly describe the relationship between the variables in terms of direction, shape and strength.
(d) Using the least-squares line of best fit, calculate the predicted body fat percentage for a man with an abdominal circumference of exactly 1 metre.
(e) By hand, draw the least-squares line on your graph from part (b) ("by hand" includes using pen and ruler, or manual positioning of a line drawn using software.) Briefly describe how you worked out where to position the line.
(f) Obtain the R2 value for the regression and interpret it in the context of the data.
Question 3.
Ordinary wheat doesn't have as much of the amino acid lysine in it as animals may need in their feed, so plant scientists have developed varieties of wheat with higher levels of lysine.