The correct options are-
1. The slope represents the rate of change of the data.
3. Sales increase $1,000 as ads increase by $1,000.
5. A positive slope infers a positive correlation.
<h3>What is defined as the slope?</h3>
- The slope of a line measures its steepness as well as direction.
- The slope of a line is defined as the change throughout y coordinate in relation to the transformation in x coordinate.
- The net change in y coordinates is y, while the net change in x coordinates is x.
- So m represents the transition in y coordinate throughout relation to the shift in x coordinate. m = Δy/Δx, where, m is the slope.
Positive correlation:
- A positive correlation is a correlation that exists between two variables which move in the same direction.
- A positive correlation exists whenever one variable decreases while the other increases, or when one variable increases whereas the other decreases.
From the scatter points on graph, its clear that the slope which is 15 is a positive correlation.
Now, to find the slope we see the change in y with respect to x.
Thus, the change in sales increase $1,000 as ads increase by $1,000.
To know more about the positive correlation, here
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The complete question is-
The slope of the trend line is 15. What does that mean in regard to the data of the scatterplot? Check all that apply.
1. The slope represents the rate of change of the data.
2. Advertising costs increase $1,000 as sales increase by $1,000.
3. Sales increase $1,000 as ads increase by $1,000.
4. A positive slope infers a negative correlation.
5. A positive slope infers a positive correlation.'