What should be true about the line of best fit for any scatter plot? Check all that apply.

Question

(2 points)
Responses

The line of best fit MUST cross through at least 2 points in the scatter plot.

The line must represent the general relationship between the two variables.
The line must represent the general relationship between the two variables.

The line of best fit can, some times, be used as a prediction tool; showing a trend in the data.
The line of best fit can, some times, be used as a prediction tool; showing a trend in the data.

The line of best fit should be an exact representation of the data points.
The line of best fit should be an exact representation of the data points.

The line of best fit must have an equal number of points above and below the line.
The line of best fit must have an equal number of points above and below the line.

Answer 1

For the line of best fit in any scatter plot, the following statements are true:

1. The line must represent the general relationship between the two variables.
2. The line of best fit can, sometimes, be used as a prediction tool; showing a trend in the data.

The other statements are not necessarily true:

• The line of best fit MUST cross through at least 2 points in the scatter plot. (This is not required; the line may not pass through any of the points.)
• The line of best fit should be an exact representation of the data points. (This is not true; the line represents a trend, not an exact fit.)
• The line of best fit must have an equal number of points above and below the line. (This is not required; it may have more points on one side than the other.)

Answer 2

What type of correlation is suggested by the scatter plot?

(1 point)
Responses

No Correlation
No Correlation

Negative, Strong Correlation
Negative, Strong Correlation

Positive, Strong Correlation
Positive, Strong Correlation

Negative, Weak Correlation
Negative, Weak Correlation

Positive, Weak Correlation

Answer 3

To determine the type of correlation suggested by a scatter plot, you should look for the following characteristics:

1. No Correlation - If the points are scattered randomly with no discernible pattern.
2. Negative, Strong Correlation - If the points slope downward closely together in a linear fashion.
3. Positive, Strong Correlation - If the points slope upward closely together in a linear fashion.
4. Negative, Weak Correlation - If the points slope downward but are more spread out and less linear.
5. Positive, Weak Correlation - If the points slope upward but are more spread out and less linear.

Without seeing the actual scatter plot, I can't accurately choose among these options. Please describe the pattern you see in the scatter plot, and I can help you identify the type of correlation it suggests.