Chapter 2, Problem 20STP

Interpretation Introduction

Interpretation:

The type of relationship between ice age and depth should be determined.

Concept introduction:

The data that shows a continuous pattern and have a same ratio is said to be in a linear relationship and the data that shows a discontinuous relationship with difference in the ratio is said to be in a nonlinear relationship. The data that shows an uprising line shows a positive relation and the data that show a slope going downwards is said to be in a negative relationship.

Answer to Problem 20STP

Option (A) linear, positive slope.

Explanation of Solution

The graph represents a line rising upwards, which means it is a positive relationship. As the ice ages the depth keeps on increasing continuously. So, the relationship between the ice age and depth is linear and positive slope. Hence, the correct answer is option (A).

Conclusion

Option (B) linear and negative slope. The relationship between the ice age and depth is continuous, so, it is linear. For being in a negative relationship, which represents the negative slope, the depth of ice should be decreasing with age. Hence, it is an incorrect answer.

Option (C) linear, slope = 0. The slope is 0 when the line of relationship is horizontal. Hence, it is an incorrect answer.

Option (D) nonlinear, positive slope. The data have a continuous relationship. Hence, it is an incorrect answer.

Option (E) nonlinear, negative slope. The given relationship is continuous and positive. Hence, it is an incorrect answer.