Prob 21 x1 y1 0123456789 11.40434 15.1447 13.86963 24.36158 24.46794 28.11012 28.69951 32.05889 38.62492 39.01299 21. Consider the data in the columns labeled x1 and y1. Perform a linear regression and fill in the table below. Source Regression DF SS MS F p-value Error Total a) What is the slope of the regression equation? (3 decimal places) b) What is the total variation in the y-data? (SS Total) (3 decimal places) c) How much of the total variation is explained by the regression equation (SS Regression)? (3 decimal places) d) What percent of all variation is explained by our regression equation? (2-decimal places) e) What is the p-value associated with the regression? (3 decimal places) f) Should we conclude that there is a linear relationship between x and y? g) What is the fitted value when x = 5? (2 decimal places) h) What is the residual for the data point (5, 28.11012)? (3 decimal places)
Prob 21 x1 y1 0123456789 11.40434 15.1447 13.86963 24.36158 24.46794 28.11012 28.69951 32.05889 38.62492 39.01299 21. Consider the data in the columns labeled x1 and y1. Perform a linear regression and fill in the table below. Source Regression DF SS MS F p-value Error Total a) What is the slope of the regression equation? (3 decimal places) b) What is the total variation in the y-data? (SS Total) (3 decimal places) c) How much of the total variation is explained by the regression equation (SS Regression)? (3 decimal places) d) What percent of all variation is explained by our regression equation? (2-decimal places) e) What is the p-value associated with the regression? (3 decimal places) f) Should we conclude that there is a linear relationship between x and y? g) What is the fitted value when x = 5? (2 decimal places) h) What is the residual for the data point (5, 28.11012)? (3 decimal places)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:Prob 21
x1
y1
0123456789
11.40434
15.1447
13.86963
24.36158
24.46794
28.11012
28.69951
32.05889
38.62492
39.01299
Transcribed Image Text:21. Consider the data in the columns labeled x1 and y1. Perform a linear regression and fill in the table below.
Source
Regression
DF
SS
MS
F
p-value
Error
Total
a) What is the slope of the regression equation? (3 decimal places)
b) What is the total variation in the y-data? (SS Total) (3 decimal places)
c) How much of the total variation is explained by the regression equation (SS Regression)? (3 decimal places)
d) What percent of all variation is explained by our regression equation? (2-decimal places)
e) What is the p-value associated with the regression? (3 decimal places)
f) Should we conclude that there is a linear relationship between x and y?
g) What is the fitted value when x = 5? (2 decimal places)
h) What is the residual for the data point (5, 28.11012)? (3 decimal places)
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