Line of best fit
Correlations
Outliers and Predictions
Calculating Line of Best Fit
Measures of Center and Spread
100

Your line of best fit should always been drawn with a straight edge (T/F)

True

100

Does this scatter plot show a positive, negative, or no association? Interpret the scatter plot.

Positive; As the temperature increases, sales increase.

100

When most of the points are close to the line of best fit, but one is very far, this is called an _______________.

Outlier

100

In order to calculate the slope of a line of best fit, you use the equation...


100

Find the mean, median, mode, and range of the following data.

mean = $3

median = $3.50

mode = $4

range = $4

200

How do you determine where to place the line of best fit?

There should be an equal number of points above and below the line.

200

Does this scatter plot show a positive, negative, or no association? If a positive or negative association is present, is the association linear or nonlinear? 

 

Negative; nonlinear

200

Use the line of best fit to make a conjecture about the resting heart rate (BPM) of a person who exercises 6 hrs/week.

55 BPM

200

How do you calculate the equation of a line of best fit?

1.Draw a line of best fit that splits the data 

2. Choose two points ON the line. 

3. Calculate the slope. 

4. Calculate the b (y-intercept). 

200

Find the 5-number summary of the following data set.

3, 7, 8, 5, 12, 14, 21, 13, 18

minimum = 3

maximum = 21

median = 12

Q1 = 6

Q3 = 16

300

What are two points on the line of best fit?

(0.2,15) (0.4,13) (0.6,14) (0.8,12) (1,13)

300

When the values of one data set increases and the other decreases, this is called a ___________ correlation.

Negative

300

What are the approximate coordinates of the outlier in this graph?

(8.2,0.9)

300

In order to find the y-intercept (b) of a line of best fit, you...

use the slope-intercept equation (y=mx + b) or estimate the intercept using the graph

300

The standard deviation of a set of data with a mean of 11 is 3.8. Describe the data that are within one standard deviation of the mean.

Data between 7.2 and 14.8 are within one standard deviation of the mean.

400

Why do we draw a line of best fit?

To make a prediction beyond the scatter plot

400

When most of the points are very close to the line of best fit, this is called a _______________ correlation.

Strong

400

The equation of the line of best fit is y=-2.12x + 15.5, where x represents the age (in years) of an infant, and y represents the hours of sleep the infant needs.  Predict how many hours of sleep an infant who is 6 months (0.5 years) needs.  

14.4

400

Two points on the line of best fit are (4, 85) and (2, 70). Find the slope for the line of best fit using these points.

15/2

400

Find the mean absolute deviation of the following test scores and describe what the mean absolute deviation of the data means.

92, 65, 89, 98, 85

MAD = 8.64; The average distance each test score is from the mean is 8.64 points.

500

If there is no association-is the line linear or non-linear?

Neither! There is no line! 

500

When the points on a scatter plot are scattered in the graph and do not follow a trend, this is called  ___________ .

no assocation

500

The equation of the line of best fit for a scatter plot is y=12x - 216, where x represents the temperature outside and y represents the sales of the ice cream shop.  Predict the temperature outside if the ice cream shop had a total sales of $700. 

76.33

500

Find the equation of the line of best fit

y=-2x+20

500

The data below represents the number of pages 15 students read from their assigned novel during class. 

Calculate the mean, median, mode, and range of the data. Then, draw a box plot.

8, 8, 10, 11, 12, 12, 13, 14, 16, 16, 18, 18, 18, 20, 24

mean = 14.5

median = 14

mode = 18

range = 16