Determine whether the scatter diagram indicates that a linear relation may exist

Question

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 negative association between the variables. Use this information to answer the following. 0 2 4 6 8 10 0 100 200 300 400 Explanatory Response A scatter diagram has a horizontal axis labeled “Explanatory” from 0 to 10 in increments of 1 and a vertical axis labeled “Response” from 0 to 400 plus in increments of 100. The following 12 approximate points are plotted, listed here from left to right: (0.6, 370); (1.2, 370); (2, 370); (3, 370); (4, 370); (6, 350); (7, 300); (7, 270); (8.2, 200); (8.2, 180); (9.8, 10); (9.8, 40). The first five points follow the general pattern of a horizontal line and the next 7 points follow the general pattern of a straight line that falls from left to right. Do the two variables have a linear? relationship? A. The data points do not have a linear relationship because they lie mainly in a straight line. B. The data points have a linear relationship because they lie mainly in a straight line. C. The data points do not have a linear relationship because they do not lie mainly in a straight line. D. The data points have a linear relationship because they do not lie mainly in a straight line. If the relationship is linear do the variables have a positive or negative? association? A. The variables have a negative association. B. The variables have a positive association. C. The relationship is not linear.

Explanation / Answer

First one : Answer (C) , because, the data does not more or less in a linear relationship.

Second one : Answer (A), because, as the explanatory variable increases, response variable decreases.

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