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Predict from a transformed regression model

Question 1 of 8

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The explanatory variable is worker count (workers), symbol w; the response variable is completion time (h), symbol t. The square transformation applies to the explanatory variable only. Symbols represent numerical values in the stated units

Measurements of worker count and completion time were collected for the work schedules

The original worker count values used to fit the model ranged from 8 to 12 workers, inclusive

The displayed equation defines the model. Use its displayed coefficients exactly

\[\widehat{t}=179.4 - 1.0\bigl(w^{2}\bigr)\]

The response variable is measured on its original scale in h

The prediction input is 9 workers

(a)1 mark

What transformed explanatory value must be substituted when worker count is 9 workers?

Format: exact value
(b)1 mark

Substitute 9 workers for worker count and calculate the predicted completion time. Give the exact value

Format: exact value