Unit 7 Assessment statistics

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Relationships Between Variables Unit 7 Assessment Jana Hardiman Professor Simmons MA320-7D: Statistics

Relationships Between Variables Graph the scatter plot with a trend line. Does it appear there is a linear relationship? What does this mean? Yes, it does have a linear relationship. As one increases the other increases. This means the two variables have a direct connection. If the X changes, then the Y must change in the same proportion (Johnson, 2021) . 0 2 4 6 8 10 12 0.0 2.0 4.0 6.0 8.0 10.0 12.0 After exercise Y resting X Calculate the correlation coefficient r using excel. Is this r (value) high compared to +1? Based on the correlation coefficient is the relationship strong? The correlation coefficient r is 0.714563. It is high and strong because it is at or near one (Bhandari, 2021) .

Relationships Between Variables Use excel to find the regression equation. Identify the slope. What does it tell us in terms of our heart rate data? The regression equation analizes the relationship between the two variables. It tells us the relationship between the resting heart rate and the after exercise heart rate. SUMMARY OUTPUT Regression Statistics Multiple R 0.7145 63 R Square 0.5106 01 Adjuste d R Square 0.5081 29 Standar d Error 5.1056 3 Observa tions 200 ANOVA df SS MS F Signific ance F Regressi on 1 5384. 954 5384. 954 206.5 777 1.49E- 32 Residual 198 5161. 356 26.06 745 Total 199 1054 6.31 Coeffici ents Stand ard Error t Stat P- value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercep t 37.501 6 3.686 057 10.17 391 7.95E -20 30.232 63 44.77 057 30.23 263 44.77 057 X 0.6610 0.045 14.37 1.49E 0.5703 0.751 0.570 0.751

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Relationships Between Variables Variable 1 1 99 281 -32 16 704 316 704 (Srivastav, 2021) References Bhandari, P. (2021, August 2). Correlation Coefficient | Types, Formulas & Examples . From Scribbr: https://www.scribbr.com/statistics/correlation-coefficient/#:~:text=If%20all %20points%20are%20perfectly%20on%20this%20line%2C,absolute%20value%20of %20your%20correlation%20coefficient%20is%20low. Johnson, P. (2021, September 2). Linear Relationship . From Wallstreetmojo: https://www.wallstreetmojo.com/linear-relationship/ Srivastav, A. (2021). Regression Analysis Formula . From Wallstreetmojo: https://www.wallstreetmojo.com/regression-analysis-formula/

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