Statisticsdrill

Level 5: Relationships Problem 46 of 53 Pro

Predicted value from a fitted line

A statistics problem from Statisticsdrill. Solve it with one answer box, with a fresh sample on every attempt and the worked steps and spreadsheet function in the answer, and it is checked the moment you submit.

The task

Data on monthly ad spend and sales at regional stores (x = Ad spend ($k), y = Sales ($k)): (9, 87.8), (10, 98.7), (6, 81.3), (12, 99.1), (15, 111.9), (6, 78.6). Fit the least squares line and predict y when x = 11. Round to 2 decimal places.

What this problem teaches

Predictions are safest inside the range of x in the data. Outside it you are extrapolating.

A hint if you get stuck

Find b and a, then ŷ = a + b x. Keep b and a unrounded until the end.

This problem is part of Pro

Pro unlocks all 53 problems, with worked solutions and progress saved to your account. The free problems work without an account.

You create a free account first, so Pro is attached to it.

Monthly is charged today and then every month until you cancel, in one click from your account page. Lifetime is one payment with no renewals. Full refund within 14 days of paying.

Start with the free problems

More problems in Relationships