Question

O A. 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 BEE Click the icon to view the data table. click the icon to view the critical values table. a) Which variable is the explanatory variable based on the goals of the research? O A. The number of bears o B. The length of the bear O C. The Wi of the bear eight b) Draw a scatter diagram of the data. Choose the correct graph below. O C. O B. O D. Weight (ke) Weight (KB) Length (em) Weight 180 Weight (kg

Answer 1

(x-x2 w No 100 16.3351 16.3351 145.0017 464.0434 48.4184 1.0851 1.0851 53.3351 574.0017 89.4601 157.2934 53.3351 1639.7232 SSX 600 v (y-yj2 69.4444 1736,1111 136.1111 1736,1111 44,4444 2.7778 69.4444 27,7778 2844.4444 1469,4444 11.1111 69.4444 8466.6667 SSY (x-x)(y-y -33.6806 158.4028 140.4861 837,5694 -46.3889 1.7361 -8,6806 -132.6389 1277,7778 362.5694 -41.8056 66.3194 2651.6667 SXY 35 166 151.5 129.5 150 17045 142.042 Total Mean 105 110 1220 101.667 correlation coefficientr= sx/(/s, *s) 0,7117 100 110 1 20 130 140 150 160 170

from above:

a) length of the bear

b) option D is correct for scatter plot

c)r =0.712

d) .....is positive and the absolute value of the correlation coefficient 0.712 is greater than the crtical value for this data set 0.576 . there is a positive linear relationship..........