Scatter Plots
Correlation
Lines of Best Fit
Interpreting Data
100

The type of association shown when points on a scatter plot go up from left to right.

positive correlation

100

A correlation coefficient close to 0 indicates this type of relationship.

no correlation

100

The equation format used for a Line of Best Fit.


y=ax+b

100

If the data shows that as one variable increases, the other decreases, this is called this type of correlation.

negative correlation

200

What you can say about the relationship if the points on a scatter plot are widely scattered and show no pattern.

no correlation

200

The correlation coefficient for a perfect negative linear relationship.

-1

200

If the line of best fit for data is y = 2x + 3, what is the predicted y-value when x = 4?

11

300

The variable that is usually plotted on the x-axis in a scatter plot.

independent variable

300

If the correlation coefficient is 0.85, describe the strength and direction of the relationship.

strong positive correlation

300

Which of the following statements is true about a line of best fit? 

  1. It passes through every data point.
  2. It always starts at the origin.
  3. It minimizes the distance between itself and all the data points.
  4. It is always a horizontal line.

C. It minimizes the distance between itself and all the data points.

300

If a data set shows that as the number of absences increases, the final grade decreases, what is the correlation? 

  1. Positive correlation
  2. No correlation
  3. Negative correlation
  4. Zero correlation

C Negative Correlation

400

The term for a data point that does not fit the overall pattern of a scatter plot

outlier 

400

This is the range of possible values for the correlation coefficient, r.

-1 < r < 1
400

If a scatter plot shows a downward trend, what can you say about the slope of its line of best fit?

  1. The slope is negative.
  2. The slope is positive.
  3. The slope is zero.
  4. The slope is undefined.

 

a. The slope is negative.

400

If the points on a scatter plot are widely spread and do not show any clear pattern, what does this indicate about the variables? 

  1. There is a strong positive correlation
  2. There is no correlation between the variables
  3. There is a strong negative correlation
  4. There is a perfect correlation

b. There is no correlation between the variables

500

What is the main purpose of a scatter plot ?

To show the relationship between two variables.

500
Which of the following is the strongest correlation coefficient?


-0.95

0.05

0.5

0.3

-0.95

500

A line of best fit for a set of data is 

y = 3x + 1. 

What is the predicted value of y when x = 2?

7

500

Which statistic measures the strength and direction of a linear relationship between two variables? 

  1. Mean
  2. Median
  3. Correlation coefficient
  4. Mode

c. Correlation coefficient

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