Search

1 of 8 0-day streak

Predict from a transformed regression model

Question 1 of 8

Calculator allowed

The explanatory variable is data volume (GB), symbol v; the response variable is access time (ms), symbol t. The reciprocal transformation applies to the explanatory variable only. Symbols represent numerical values in the stated units

The storage requests pair data volume with access time

The original data volume values used to fit the model ranged from 7 to 10 GB, inclusive

Technology displays the intercept as 464.235 and the slope as 279.529. The full coefficient values are retained for the prediction; use the full values in the equation below

\[\widehat{t}=\frac{7892}{17} + \frac{4752}{17}\bigl(\frac{1}{v}\bigr)\]

The response variable is measured on its original scale in ms.

The prediction input is 9 GB

(a)1 mark

What transformed explanatory value must be substituted when data volume is 9 GB?

Format: exact value
(b)1 mark

Find the predicted access time for data volume = 9 GB. Give the exact value

Format: exact value