Math 216 Week 5 Individual Presentation

Moses Sandoval

MTH/216

May 29, 2019

Pradeep Kumar Thallapalle

Topic 4: Predicting Teen Communication Preferences. Review the data on communication preferences with teens. Predict how many high-school teens will prefer to use face-to-face communication in 2018.

Scatterplot with Trend line

For your xy scatterplot, make at least one prediction using the trend line equation for some date into the future. How confident are you in this prediction?

The equation of the line of best is y = - 6.0294x+ 12149. From this equation, we can predict the number of teenagers who prefer face to face communication. For example, we can predict that in the year 2018, there would be approximately zero students who will prefer face to face communication face to face. However, the prediction for the year 2018, are a negative value. Since, the number of teenagers cannot be nonnegative, this implies that there will be no teens who will prefer to communicate face to face in the year 2018.

I am very confident in my prediction made using the linear model because the R-squared , or the coeeffecient of determination is close to one which depicts that model is almost a perfect fit. The R-squared of 0.9471 means that the 94.71% of the response variable (number of teens) variation that is explained by a linear model

Pie Chart

The pie chart represent the number of students that prefer to communicate face to face when current data is applied. A percentage is added and represents the total number percentage of student from 2000-2015.

Box and Whisker

If you created a box and whisker plot, describe the central tendency of the values. What does this tell you about the data and about your project?

From the box and whisker plot data are skewed to the right which you can tell by a long whisker on the right side, then the mean will be greater than the median. This is the case with the data provided to create the box and whisker above. The mean is 44.75 and median 42.5

Calculate the mean of the sample data.

The 44.75 represents the mean from the data provided.

Number of Teens Communication Preference Face to Face

2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 87 98 86 76 55 49 50 43 42 36 23 30 15 13 8 5

Teens Face to Face Communication Preferences

Number of Teens (y)

y = -6.0294x + 12149 R² = 0.9471

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 87 98 86 76 55 49 50 43 42 36 23 30 15 13 8 5

No. of years after 2000

Number of Teens