Question

Researchers initiated a long-term study of the population of American black bears. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in the field). One variable thought to be related to weight is the length of the bear. The accompanying data represent the lengths and weights of 12 American black bears. Complete parts (a) through (d) below. Click here to view the data table. Click here to view the critical values table. (a) Which variable is the explanatory variable based on the goals of the research? O A. The weight of the bear B. The length of the bear O C. The number of bears (b) Draw a scatter diagram of the data. Choose the correct graph below. OA B. хс. OD Length (cm) a Weight (kg Weight (kg) 1804 A Weight (kg) 180- a 180- 180- ti 40- 100 200 Weight (kg 40 100 Length (om 200 40 100 Length (cm 200 40 100 200 Length (om) (c) Determine the linear correlation coefficient between weight and length The linear correlation coefficient between weight and length is r= Pound to three decimal niarse po narar Enter your answer in the answer box and then click Check Answer

Answer 1

a) As the researcher as to predict the weight of bear using the length of the bear,

So Explanatory variable is "The length of the bear"

b) The scatter plot shown in Option B is the correct one

c) The linear correlation coefficient is given by

$r={n \sum xy -{[\sum x][\sum y]}\over \sqrt{ [n \sum x^2-(\sum x)^2][n \sum y^2-(\sum y)^2]}}$

Where x denotes length of bear and y denotes weight

using the data give we get $r\approx 0.741$

Please mention part d) to get help there as well