Halloween Is a Fun Night $R$ (Correlation Coefficient) $= \mathbf { 0 . 1 9 5 3 4 4 2 5 }$

Essay

Halloween is a fun night. It seems that older children might get more candy because they can travel further while
trick-or-treating. But perhaps the youngest kids get extra candy because they are so cute. Here are some data that examine
this question, along with the regression output. Dependent Variable: candy
Sample size: 9
$R$ (correlation coefficient) $= \mathbf { 0 . 1 9 5 3 4 4 2 5 }$
$\mathrm { R } - \mathrm { sq } = 0.038159375$
$s = 11.297554$
$\begin{array} { l r r } \text { Parameter } & \text { Estimate } & \text { Std. Err. } \\ \text { Intercept } & 13.569231 & 9.0783516 \\ \text { Age } & 3.4038462 & 1.0175376 \end{array}$


-The next day, a young girl reveals that her older brother also went trick-or-treating, but
didn't want to admit that he participated. He was added to the data set and these are the
results. Dependent Variable: candy
Sample size: 10
$R$ (correlation coefficient $) = 0.76362369$
$\mathrm { R } - \mathrm { sq } = 0.58312115$
$\mathrm { s } = 12.709041$
$\begin{array} { l r r } \text { Parameter } & \text { Estimate } & \text { Std. Err. } \\ \text { Intercept } & 13.569231 & 9.0783516 \\ \text { Age } & 3.4038462 & 1.0175376 \end{array}$


Describe the effect of this new candy collector on the regression model.