module 27 Lab

Progress Check

Use this activity to assess whether you and your peers can:

• For a linear relationship, use the least-squares regression line to model the pattern in the data and to make predictions.
• Use standard error, and ${�}^2$ to assess the fit of a linear equation.

---

Directions

Use the drop-down 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: lit-level = the percentage of a country’s population that can read and write
Second explanatory variable: percent-schools-w-net = the percentage of a country’s schools with student internet access
Response variable: percent-female-net = the percentage of a country’s female population with internet access

---

Data

• Open the inclusive-internet 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 least-squares regression line, the regression equation, r-squared, and the standard error for two different regression models. Then we’ll determine which model is the best predictor of the response variable, percent-female-net.

Question 1

1. Using lit-level as the explanatory variable and percent-female-net as the response variable: graph the scatterplot with its regression line and produce the regression equation with r-squared 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.
2. 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 y-intercept and interpret each in context.
3. Identify r-squared (round to 4 decimal places). Then explain what r-squared means in context.
4. Identify the standard error, Se (round to 2 decimal places). Interpret the standard error in context.

Question 2

1. Using percent-schools-w-net as the explanatory variable and percent-female-net as the response variable: graph the scatterplot with the regression line and produce the regression equation with r-squared 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.
2. 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 y-intercept and interpret each in context.
3. Identify r-squared and round to 4 decimal places. Then explain what r-squared means in context.
4. 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 peer-reviewed assignment.

---

Review Feedback

• Instructor feedback is only available after an assignment is graded.
• Use these directions (opens in a new tab) to learn how to review feedback.

---

Click the “Next” or > button to continue.

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

Formative Assessments w/ StatCrunch

Criteria	Ratings	Pts
This criterion is linked to a Learning OutcomeAnswering the Prompt	8 pts Full Credit The first submission demonstrates a good-faith effort to address each part of the Prompt. Either in the first draft or the optional final draft, all parts of the “Prompt” are addressed and the responses demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. The answers are correct. The writing/work is clear. The explanation/work is reasonable, well-organized, and easy to follow. 6.5 pts Mostly Correct The first submission demonstrates a good-faith effort to address most of the Prompt. In the optional final draft all parts of the “Prompt” are addressed, and the responses demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. The answers are mostly correct. The writing/work is clear. The explanation/work is reasonable, well-organized, and easy to follow. 3.5 pts One or more incorrect The first submission demonstrates a good-faith effort to respond to a smaller portion of the Prompt. In the first draft or the optional final draft, one or more parts of the “Prompt” are not addressed or are incorrect. Or, answers do not demonstrate attainment of the learning objectives in the “Progress Check” section of the assignment. Or, answers are correct, but the writing/work is unclear, incorrect, or difficult to follow. 0 pts No Marks The first submission does not demonstrate a good-faith effort to address the Prompt.	8 pts
This criterion is linked to a Learning OutcomeStatCrunch	2 pts Full Credit StatCrunch graphs and/or tables are correct and embedded with your work. 1 pts Partial Credit StatCrunch graphs and/or tables are incorrect or missing important information. 0 pts No Credit No StatCrunch information is embedded with your post. Or all StatCrunch work is incorrect.	2 pts
Total Points: 10

PreviousNext