Write the estimated regression equation using the least squares estimates for b0b0 and b1b1
Write the estimated regression equation using the least squares estimates for b0b0 and b1b1
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
Related questions
Question
Consider the following monthly revenue data for an up-and-coming cyber security company.
Sales Data
The summary output from aregression analysis of the data is also provided.
Regression Statistics
ANOVA
Sales Data
Month | Revenue (Thousands of Dollars) | Month | Revenue (Thousands of Dollars) |
---|---|---|---|
11 | 326326 | 1010 | 816816 |
22 | 552552 | 1111 | 827827 |
33 | 535535 | 1212 | 846846 |
44 | 571571 | 1313 | 850850 |
55 | 636636 | 1414 | 849849 |
66 | 685685 | 1515 | 854854 |
77 | 700700 | 1616 | 867867 |
88 | 705705 | 1717 | 875875 |
99 | 787787 | 1818 | 881881 |
The summary output from a
Regression Statistics
Multiple R | 0.9183542530.918354253 |
---|---|
R Square | 0.8433745340.843374534 |
Adjusted R Square | 0.8335854420.833585442 |
Standard Error | 63.399295263.3992952 |
Observations | 1818 |
ANOVA
dfdf | SSSS | MSMS | FF | |
---|---|---|---|---|
Regression | 11 | 346,295.581011346,295.581011 | 346,295.581011346,295.581011 | 86.1545245186.15452451 |
Residual | 1616 | 64,311.53010064,311.530100 | 4019.4706314019.470631 | |
Total | 1717 | 410,607.111111410,607.111111 |
Coefficients | Standard Error | tt Stat | P-value | |
---|---|---|---|---|
Intercept | 477.24183007477.24183007 | 31.1773771431.17737714 | 15.3073117115.30731171 | 5.63495E-115.63495E-11 |
Month | 26.7347781226.73477812 | 2.8802987722.880298772 | 9.281946169.28194616 | 7.66663E-087.66663E-08 |
Step 1 of 3 :
Write the estimated regression equation using the least squares estimates for b0b0 and b1b1. Round to four decimal places, if necessary.
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