Question

The slope of the trend line is 15. What does that mean in regard to the data of the scatterplot? Check all that apply. The slope represents the rate of change of the data. Advertising costs increase $15,000 as sales increase by $1,000. Sales increase $15,000 as ads increase by $1,000. A positive slope infers a negative correlation. A positive slope infers a positive correlation.'

Answer 1

The slope of the trend line represents the rate of change of the data in a scatterplot. A positive slope infers a positive correlation, and in this case, the slope of 15 means that for every 1 unit increase in the independent variable, there is a corresponding increase of 15 units in the dependent variable.

Step-by-step explanation:

The slope of the trend line represents the rate of change of the data in a scatterplot. In this case, since the slope is 15, it means that for every 1 unit increase in the independent variable (x-axis), there is a corresponding increase of 15 units in the dependent variable (y-axis).

To illustrate this, let's say the independent variable is advertising costs and the dependent variable is sales. If the slope is 15, it means that for every increase of $1,000 in advertising costs, sales will increase by $15,000. This indicates a positive correlation between advertising costs and sales.

Therefore, the correct statements are:

• The slope represents the rate of change of the data.
• Advertising costs increase $15,000 as sales increase by $1,000.
• Sales increase $15,000 as ads increase by $1,000.
• A positive slope infers a positive correlation.

Answer 2

1. The slope represents the rate of change of the data.

3. Sales increase $15,000 as ads increase by $1,000.

5. A positive slope infers a positive correlation.

*These are all correct.