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

Answer:

$F = 39.47$

Step-by-step explanation:

Given

$n = 30$ --- observations

$p = 1$ -- variables

$SSR = 1,297$

$SSE= 920$

Required

The F statistic

This is calculated using:

$F = \frac{SSR}{p} \div \frac{SSE}{n - p -1}$

$F = \frac{1297}{1} \div \frac{920}{30 - 1 -1}$

$F = \frac{1297}{1} \div \frac{920}{28}$

$F = 1297 \div \frac{920}{28}$

Rewrite as:

$F = 1297 * \frac{28}{920}$

$F = \frac{1297 *28}{920}$

$F = \frac{36316}{920}$

$F = 39.47$