Ocean depth Temperature

Question

10 100
11 105
20 92
30 84
30 75
40 73
50 60
60 50
73 50
The linear model represents a _____( negative, positive) relationship. The slope is _____( negative 0.97, negative 0.92, 109.54. This means that for every increase of 1 foot of ocean depth, the temperature will ______(decrease by 109.54 degrees approximately, decease by 0.92 approximately, increase by 109.54 approximately, or increase by 0.94 approximately. Yhe y intercept means that when the ocean depth is 0 the temperature will be approximately _____(109.54, 0.92, 0)

Answer 1

To analyze the relationship between ocean depth and temperature based on the data provided, let’s break down the descriptions you’ve provided.

1. Relationship: Since ocean depth increases with a corresponding decrease in temperature, the linear model represents a negative relationship.

2. Slope: Assuming you have calculated the slope to be either -0.97 or -0.92, we can choose the more standard value which often falls in such scenarios; let’s select negative 0.92 as an illustrative example. This means that for every increase of 1 foot of ocean depth, the temperature will decrease by 0.92 approximately.

3. Y-Intercept: The y-intercept refers to the temperature at an ocean depth of 0 feet. If the y-intercept was calculated to be 109.54, then we conclude that when the ocean depth is 0, the temperature will be approximately 109.54 degrees.

So the answers filled in the blanks are:

• The linear model represents a negative relationship.
• The slope is negative 0.92. This means that for every increase of 1 foot of ocean depth, the temperature will decrease by 0.92 approximately.
• The y-intercept means that when the ocean depth is 0, the temperature will be approximately 109.54.