9. Answer the questions based on what is provided in the given box. Consider a statistical significance level of 0.05 for this problem. >> myData = readtable ('peruvian.txt', 'Delimiter',' '); >> mdl = fitlm (myData, 'Systol-Age+Weight+Height+Pulse+Diastol') mdl = Linear regression model: Systol 1 + Age + Weight + Height + Pulse + Diastol Estimated Coefficients: Estimate SE tStat pValue (Intercept) 33.394 Age -0.31555 64.276 0.31289 0.51954 0.60814 -1.0085 0.32328 Weight 0.94567 0.40098 2.3584 0.026838 Height 0.012416 0.042303 0.29351 0.77165 Pulse 0.11594 0.23816 0.48682 0.6308 Diastol 0.2436 0.25733 0.94666 0.35325 Number of observations: 30, Error degrees of freedom: 24 Root Mean Squared Error: 11 R-squared: 0.423, Adjusted R-Squared: 0.303 F-statistic vs. constant model: 3.52, p-value a) Describe the null hypothesis for the F-test? = 0.0158 b) Is there a relationship between the predictors and the response? Justify your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
9. Answer the questions based on what is provided in the given box. Consider a statistical
significance level of 0.05 for this problem.
>> myData = readtable ('peruvian.txt', 'Delimiter',' ');
>> mdl = fitlm (myData, 'Systol-Age+Weight+Height+Pulse+Diastol')
mdl =
Linear regression model:
Systol 1 + Age + Weight + Height + Pulse + Diastol
Estimated Coefficients:
Estimate
SE
tStat
pValue
(Intercept)
33.394
Age
-0.31555
64.276
0.31289
0.51954
0.60814
-1.0085
0.32328
Weight
0.94567
0.40098
2.3584
0.026838
Height
0.012416
0.042303
0.29351
0.77165
Pulse
0.11594
0.23816
0.48682
0.6308
Diastol
0.2436
0.25733
0.94666
0.35325
Number of observations: 30, Error degrees of freedom: 24
Root Mean Squared Error: 11
R-squared: 0.423, Adjusted R-Squared: 0.303
F-statistic vs. constant model: 3.52, p-value
a) Describe the null hypothesis for the F-test?
= 0.0158
b) Is there a relationship between the predictors and the response? Justify your answer.
Transcribed Image Text:9. Answer the questions based on what is provided in the given box. Consider a statistical significance level of 0.05 for this problem. >> myData = readtable ('peruvian.txt', 'Delimiter',' '); >> mdl = fitlm (myData, 'Systol-Age+Weight+Height+Pulse+Diastol') mdl = Linear regression model: Systol 1 + Age + Weight + Height + Pulse + Diastol Estimated Coefficients: Estimate SE tStat pValue (Intercept) 33.394 Age -0.31555 64.276 0.31289 0.51954 0.60814 -1.0085 0.32328 Weight 0.94567 0.40098 2.3584 0.026838 Height 0.012416 0.042303 0.29351 0.77165 Pulse 0.11594 0.23816 0.48682 0.6308 Diastol 0.2436 0.25733 0.94666 0.35325 Number of observations: 30, Error degrees of freedom: 24 Root Mean Squared Error: 11 R-squared: 0.423, Adjusted R-Squared: 0.303 F-statistic vs. constant model: 3.52, p-value a) Describe the null hypothesis for the F-test? = 0.0158 b) Is there a relationship between the predictors and the response? Justify your answer.
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