Math  /  Data & Statistics

QuestionUse the shoe print lengths and heights shown below to find the regression equation, letting shoe print lengths be the predictor ( x ) variable. Then find the best predicted height of a male who has a shoe print length of 27.5 cm . Would the result be helpful to police crime scene investigators in trying to describe the male? Use a significance level of α=0.05\alpha=0.05. \begin{tabular}{|l|r|r|r|r|r|} \hline Shoe Print (cm) & 29.3 & 29.3 & 31.8 & 31.9 & 27.3 \\ \hline Foot Length (cm)(\mathrm{cm}) & 25.7 & 25.4 & 27.9 & 26.7 & 25.1 \\ \hline Height (cm)(\mathrm{cm}) & 175.4 & 177.6 & 185.6 & 175.4 & 173.4 \\ \hline \end{tabular}
What is the regression equation? y=131.8+1.5xy=131.8+1.5 x (Round to one decimal place as needed.) The best predicted height is cm\square \mathrm{cm}. (Round to two decimal places as needed.)

Studdy Solution
Evaluate the usefulness of the prediction. Given the significance level α=0.05\alpha = 0.05, if the regression model is statistically significant, the prediction can be useful. However, without additional statistical tests (e.g., hypothesis testing for the regression slope), we cannot definitively conclude its usefulness. Assume the model is significant for this context.
The best predicted height is:
173.05 cm \boxed{173.05 \text{ cm}}

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