Question

An economic instructor at UCF is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 11 students who took the course last semester follow:

# of observation(s) n = 30
# of independent variable(s) = 1
SSR = 1,297 SSE= 920

Required:
Find the F test statistic.

Answer 1

`F = 39.47`

Explanation:

Given

`n = 30` --- observations

`p = 1` -- variables

`SSR = 1,297`

`SSE= 920`

Required

The F statistic

This is calculated using:

`F = (SSR)/(p) / (SSE)/(n - p -1)`

`F = (1297)/(1) / (920)/(30 - 1 -1)`

`F = (1297)/(1) / (920)/(28)`

`F = 1297 / (920)/(28)`

Rewrite as:

`F = 1297 * (28)/(920)`

`F = (1297 *28)/(920)`

`F = (36316)/(920)`

`F = 39.47`