Interpret the following three sets of data using scatter chart and regression analysis, using slope , intercept, Coefficient of Determiniation (R2) , regression data (using excel), and 95% confidence interval, P value, do I reject null hypothesis ? Or is it significant ? Generate and explain the derivation of insights using regression analysis and its associated visualization. Differentiate between the signals identified by business analytics and the noise that is inherent in the system. X: C18 (total employees ho

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
icon
Related questions
icon
Concept explainers
Question

Interpret the following three sets of data using scatter chart and regression analysis, using slope , intercept, Coefficient of Determiniation (R2) , regression data (using excel), and 95% confidence interval, P value, do I reject null hypothesis ? Or is it significant ?

Generate and explain the derivation of insights using regression analysis and its associated visualization.

Differentiate between the signals identified by business analytics and the noise that is inherent in the system.

  1. X: C18 (total employees hours worked per week) versus Y: C19 (clinic patients seen per week)
C18
8
22
35
40
57
73
78
87
98
C19
6.16
9.88
14.35
24.06
30.34
32.17
42.18
43.23
48.76
check_circle

Expert Answer

thumb_up
 
thumb_down
Step 1

Let us denote X as the total employees hours worked per week and Y as the clinic patients seen per week.

 

Excel Procedure:

 

  • Enter X and Y data in Excel
  • Go to Data
  • Click on Data Analysis……..> ‘Regression’.
  • Select Y under ‘Input Y Range’.
  • Select X under ‘Input X Range’.
  • Click on ‘OK’.

 

Output:

 

 

Step 2

From the output,

 

  • slope:0.4891, represents there is 0.4891 units increase in Y as 1 unit increase in X.
  • Intercept: 0.8387, represent constant increase in Y.
  • Coefficient of determination(R2): 0.9666 or 96.66%, represents 96.66% of the variation in Y is explained by the variable X.
  • 95% confidence interval: (0.4078, 0.5704), represents there is 95% chance that the coefficient of X variable is lies between 0.4078 and 0.5704.
Step 3

Scatter plot:

Steps to construct scatter plot in Excel:

  • Enter the data for x and y in Excel sheet
  • Select the columns of x and y.
  • Go to Insert menu.
  • Click on “Insert scatter or bubble chart” option.
  • Select Scatter under Charts.

Excel Output:

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill