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Determine whether the scatter diagram indicates that a linear relation may exist between the two variables. If the relation is linear, determine whether it indicates a positive or A Q negative association between the variables. a, 30": . . Use this information to answer the following. g 20 ' ' r a 1 3: Q m 10 3 0 m I ' O ' > 2' 0 20 4'0 D Explanatory (T/ Do the two variables have a linear relationship? Ci A. The data points do not have a linear relationship because they do not lie mainly in a straight line. if; B. The data points have a linear relationship because they lie mainly in a straight line, C) C. The data points do not have a linear relationship because they lie mainly in a straight line, D. The data points have a linear relationship because they do not lie mainly in a straight line. Do the two variables have a positive or a negative association? i A. The two variables have a positive association. B. The two variables have a negative association. tui 0. None of the above Researchers initiated a long-term study of the population ofAmerican 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 eld). 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 hereto view the critical values table, (a) Which variable is the explanatory variable based on the goals of the research? C) A. The length of the bear C) B. The weight of the bear C) C. The number of bears (b) Draw a scatter diagram of the data. Choose the correct graph below. Q 180 Weight (kg) Q Q Q J ? Q Q Q 9' Q . > [/1- 40 i > IZ' . > D;- 40 *7 > IL\" 100 200 100 200 100 200 100 200 Welght (kg) Length (cm) Length (cm) Length (cm) (c) Determine the linear correlation coefcient between weight and length. The linear correlation coefcient between weight and length is r= (Round to three decimal places as needed.) (d) Does a linear relation exist between the weight of the bear and its length? The variables weight of the bear and length of the bear are V associated because r is V and the absolute value of the correlation coefcient, 1, is V than the critical value, 1 (Round to three decimal places as needed.) 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. Data Table (a) Which variable is the explanatory variable bas - X Data Table O A. The length of the bear O B. The weight of the bear O C. The number of bears Total Length (cm) Weight (kg) 139.0 110 (b) Draw a scatter diagram of the data. Choose th 135.0 60 130.0 90 O A. 120.5 60 O D. ALength (cm) 180- 149.0 95 AWeight (kg) 180- 141.0 100 141.0 110 40HHHH HHHHH 150.0 85 100 200 166.0 155 100 200 Weight (kg) Length (cm) 151.5 140 (c) Determine the linear correlation coefficient bet 129.5 105 150.0 110 The linear correlation coefficient between weight a (Round to three decimal places as needed.) (d) Does a linear relation exist between the weigh Print Done The variables weight of the bear and length of the e of the correlation coefficient, , is than the critical value, (Round to three decimal places as needed.)If the linear correlation between two variables is negative, what can be said about the slope of the regression line? Choose the correct answer below. i\") A. Negative [2- B. Positive C? C. More information is needed A survey of 1030 randomly selected registered United States voters was conducted in which survey participants were asked, "What is your political affiliation?" Results of the survey by gender are shown below. Complete parts (a) and (b) below. Political Affiliation Democrat Independent Republican Female 270 82 151 Gender Male 146 109 172 (This is a reading assessment question. Be certain of your answer because you only get one attempt on this question.) . . . (a) Complete the following statement. In the contingency table shown, the variable is gender and the variable is political affiliation. (b) How many males in this survey are also democrats? The number of males who are democrat in the survey is. (Type a whole number.) row columnA data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.5000, sx = 2.3452, y = 3.9333, sy = 1.8758, and r= - 0.9638, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). X 0 2 3 4 6 6 2 y 6.0 5.6 5.0 3.4 1.7 1.9 C.. (a) Choose the correct graph below. O A. O B. O C. O D. Ay 6- 67 6-7 Ay 6- X X X 0 There appears to be relationship. (b ) y = x + () (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. O B. O c. OD. 6- Ay 6- & Ay 1 X 0