QUESTION 7 A researcher conducts a study to determine whether there is a linear

Question

QUESTION 7 A researcher conducts a study to determine whether there is a linear relationship between a person's height (in inches) and pulse rate (in beats per minute) The data are shown in the following table Height, ax 68 72 65 70 62 75 78 64 68 Pulse rate, y 90 85 88 100 105 98 70 65 72 NOTE. Round All Answers to 2 decimal places The Regression Equation " The Correlation of Determination (R2) . The Linear Correlation Coefficient (R) SST SSR SSE ' Is the regression equation useful (at least 75%)? for making predictions? y 113.32-0.40x B. 0 02 ?.015 D. 1614 89 E 34.50 F. 1580 40 G No H. Negatively L y=-0.40 + 113.32x J. Yes Answer Yes or No Overall, are the two variables most likely positively or most likely negatively correlated?

Explanation / Answer

Equation : y = 113.32 -0.40*x

Coefficient of determination R^2 = 0.02

Correlation coefficient r = -0.15

SST = 1614.89

SSR = 34.50

SSE = 1580.40

Is the regression equation is useful at75% - No

Overall two variables are negatively correlated since r and slope is negative

SUMMARY OUTPUT Regression Statistics Multiple R 0.146144 R Square 0.021358 Adjusted R Square -0.11845 Standard Error 15.02568 Observations 9 ANOVA df SS MS F Significance F Regression 1 34.49092 34.49092 0.152769 0.707526 Residual 7 1580.398 225.7711 Total 8 1614.889 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 113.3228 70.36766 1.610439 0.151337 -53.0702 279.7159 -53.0702 279.7159 x -0.39695 1.015599 -0.39086 0.707526 -2.79846 2.004556 -2.79846 2.004556

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