# 848e 08 alpha so reject null conclusion at any

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p-value = 3.848e-08 < alpha so reject null. Conclusion : At any reasonable significant level there is enough evidence that the there is a linear relation between maximum heart rate and age.

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#2a > par(mfrow=c(2,2)) > plot(lm_MaxPower) Conclusion : Residual Vs Fitted plot red line is not straight so we check for homoscedasticity. Norma Q-Q plot is good all the dots are on the line. Scale-Location plot is not good. Residuals vs Leverage plot not good check for normality.
> par(mfrow=c(1,1)) > plot(age, max, pch=19, main= "Heart_Rate Vs Age", + xlab = "Age",ylab = "Heart_Rate") > abline(lm_MaxPower) Conclusion : plot shows is linearly related all the points are close to the line in a decrease manner that is the higher the heart rate the lower the age and vice versa. Show no outlier. > plot(max,Residu,col="red", + pch=19,ylab="Residual",xlab = "Heart_Rate" + ,main= "Residual Vs Max Heart Rate")

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> abline(0,0) Conclusion : Plot shows homoscedasticity that is no dot pattern. > plot(fitted,Residu,col="blue", + pch=19,ylab="Residual",xlab = "Fitted_Values", + main = "Residual Vs Fitted_Values") > abline(0,0) Conclusion : Homoscedasticity is satisfied because there is no sort of pattern in the plot.
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