Use the data listed below to answer problems 1 – 7.

Students from a statistics class were asked to record their heights in inches. The heights were recorded as follows:

61 / 49 / 58 / 78 / 61 / 76 / 49 / 61 / 68 / 58 / 57 / 61
62 / 49 / 55 / 61 / 71 / 71 / 74 / 63 / 61 / 56 / 66 / 77

1.  (PS.SPID.3) Calculate the mean.

2.  (PS.SPID.3) Calculate the range.

3.  (PS.SPID.3) Calculate the standard deviation (sample standard deviation).

4.  (PS.SPID.1) Draw a dot plot for the data. Be sure to label the axis.

5.  (PS.SPID.1) Create a stem & leaf plot for this data set.

6.  (PS.SPID.1) Make a box-and-whisker plot. Be sure to label the plot appropriately.

7.  (PS.SPID.3) Make a histogram, using at least 5 intervals (bar graph). Describe the shape of the distribution.

8.  (PS.SPID.7) Describe or draw an example of a scatterplot with a strong, negative correlation.

Use the following data table for problems 9 – 12.

Hours of study / Grades
1 / 65
1.25 / 80
1.5 / 80
2 / 83
2.25 / 85
2.75 / 89
3 / 95
3.25 / 98

9.  (PS.SPID.8) Determine the correlation coefficient.

(An example of how to find the correlation coefficient using Geogebra is attached)

10.  (PS.SPID.8) Interpret what the correlation coefficient means with respect to this problem. Here is an explanation:

·  If the coefficient is positive, then the correlation is positive.

·  If the coefficient is negative, then the correlation is negative.

·  If the coefficient is closer to 1, then the correlation is stronger.

·  If the coefficient is farther from 1, then the correlation is weaker.

For example, a correlation coefficient of r=1.1 means a strong positive correlation, while a correlation coefficient of r=-1.8 means a weak negative correlation.

11.  (PS.SPID.6) Determine the equation of the line of best fit (regression line).

12.  (PS.SPID.7) Using the equation for the regression line, predict the grade a student would make if she studied 0.5 hours.