1. A group of researchers investigated the effect of media usage (whether or not

Question

1. A group of researchers investigated the effect of media usage (whether or not sub watch television or use the Internet) in the bedroom on "Tiredness during the day (measured on a 50 point scale). To collect these data, the homes to visit and interviewed the adult member of the household whose birthday was nearest. Is this an experiment or an observational study? |5 points) randomly selected True or False: [6 points] a. A population includes all individuals or objects of interest. b. A population is a subset of the sample. c. A biased sample is one that does not accurately reflect or represent the 2. 3. Baseball games can last a long time. How is the length of the game (measured in minutes) influenced by how many total runs are scored in the game? A scatterplot with regression line is shown, and the regression line is given by Time-158+2.53 Runs. [15 points] Use the regression line to predict the length of a game in which 5 runs are scored. a. In one game, 5 runs were scored and the total time was 189 minutes. Find the residual for this point. c. Interpret the slope in context.

Explanation / Answer

(1)

This is an observational study because here no experiment has been conducted, but rather the extent of tiredness is being recorded for the people sampled.

(2)

(a) True

(b) False, because a sample is a subset of the population

(c) True

(3)

Given regression relation:

Time = 158 + 2.53*Runs

(a)

When Runs = 5, we have:

Time = 158 + 2.53*5 = 170.65

(b)

Observed value = 189

Expected value = 170.65

So, residual = Observed value - Expected value = 189-170.65 = 18.35

(c)

The slope of this line is 2.53, which means that for every single run scored, the time needed is equal to 2.53 minutes

Hope this helps !

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