module 27 Lab
Description
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Progress Check
Use this activity to assess whether you and your peers can:
 For a linear relationship, use the leastsquares regression line to model the pattern in the data and to make predictions.
 Use standard error, and ${\ufffd}^{2}$ to assess the fit of a linear equation.
Directions
Use the dropdown menu to learn about the three steps needed to complete this assignment.
Three steps to complete the assignment
Context
The Inclusive Internet Index assesses and compares countries according to their readiness for the adoption and beneficial use of the internet. Its purpose is to outline the current state of internet inclusion around the world and to help policymakers and influencers gain a clearer understanding of the factors that contribute to wider and sustainable inclusion. The Inclusive Internet Index is a study commissioned by Facebook and implemented by the Economist Intelligent Unit (use licenseLinks to an external site.).
We’ll use the raw data from 2019 or 2020 to determine which of two explanatory variables is the better predictor of the response variable.
Variables
First explanatory variable: litlevel = the percentage of a country’s population that can read and write
Second explanatory variable: percentschoolswnet = the percentage of a country’s schools with student internet access
Response variable: percentfemalenet = the percentage of a country’s female population with internet access
Data
 Open the inclusiveinternet data set in the Stats at Cuyamaca College group on StatCrunch (directions). My account on Statcrunch User Aobeeda2003 Password Abdullah_2008
Prompt
We’ll use StatCrunch to produce the scatterplot with its leastsquares regression line, the regression equation, rsquared, and the standard error for two different regression models. Then we’ll determine which model is the best predictor of the response variable, percentfemalenet.
Question 1
 Using litlevel as the explanatory variable and percentfemalenet as the response variable: graph the scatterplot with its regression line and produce the regression equation with rsquared and the standard error – all at the same time (directions).
 You should see page 1 of 2 of the StatCrunch output window. Copy all information above the Parameter estimates: table (do not copy the tables). Paste the information into your response.
 Toggle to page 2 of 2 of the StatCrunch output window. Download the scatterplot with the regression line and embed the .png file with your response.
 Write the equation of the regression equation below as displayed in page 1 of 2 of the StatCrunch output window (or even better just copy and paste the equation). Round the values to two decimal places. Identify the slope and yintercept and interpret each in context.
 Identify rsquared (round to 4 decimal places). Then explain what rsquared means in context.
 Identify the standard error, Se (round to 2 decimal places). Interpret the standard error in context.
Question 2
 Using percentschoolswnet as the explanatory variable and percentfemalenet as the response variable: graph the scatterplot with the regression line and produce the regression equation with rsquared and the standard error – all at the same time (directions).
 You should see page 1 of 2 of the StatCrunch output window. Copy all information above the Parameter estimates: table (do not copy the tables). Paste the information into your response.
 Toggle to page 2 of 2 of the StatCrunch output window. Download the scatterplot with its regression line and embed the .png file with your response.
 Write the equation of the regression equation below as displayed in page 1 of 2 of the StatCrunch output window (or even better just copy and paste the equation). Round the values to two decimal places. Identify the slope and yintercept and interpret each in context.
 Identify rsquared and round to 4 decimal places. Then explain what rsquared means in context.
 Identify the standard error, Se (round to 2 decimal places). Interpret the standard error in context.
Question 3
Which regression equation is the best predictor? Use your work in Questions 1 & 2 to explain why the equation is the best predictor.
Question 4
Using the regression equation that is the best predictor, estimate the percentage of a country’s female population with internet access if the explanatory variable value is 39.4%. Show some work and state your result in context.
List of StatCrunch Directions
Click here for StatCrunch Directions
Module 27 Discussion Board
Use the Module 27 discussion board (opens in a new tab) to ask questions or provide feedback about the problems in any Module 24 activity – including this peerreviewed assignment.
Review Feedback
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Content by Cuyamaca College math faculty and licensed under the Creative Commons 4.0 International LicenseLinks to an external site..
Rubric
Formative Assessments w/ StatCrunch
Criteria  Ratings  Pts  

This criterion is linked to a Learning OutcomeAnswering the Prompt 

8 pts 

This criterion is linked to a Learning OutcomeStatCrunch 

2 pts 

Total Points: 10 
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