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Among players drafted to play professional football, it seems as though those who weigh more tend to have slower 40-yard dash times. The data in the table show various weights (in pounds) and 40-yard dash times (in seconds) for a sample of football players.

\begin{tabular}{|c|c|}
\hline
\begin{tabular}{c}
Weight \\
(lbs)
\end{tabular} &
\begin{tabular}{c}
40-Yard Dash Time \\
(sec)
\end{tabular} \\
\hline
190 & 4.52 \\
\hline
191 & 4.32 \\
\hline
180 & 4.48 \\
\hline
200 & 4.54 \\
\hline
188 & 4.51 \\
\hline
190 & 4.54 \\
\hline
190 & 4.50 \\
\hline
180 & 4.32 \\
\hline
208 & 4.52 \\
\hline
180 & 4.39 \\
\hline
180 & 4.50 \\
\hline
\end{tabular}

Which scatterplot represents the player data for weight and 40-yard dash times?



Answer :

GinnyAnswer
To create a scatterplot that accurately represents the player data given in the table, we need to plot each player's weight against their 40-yard dash time. Here’s a step-by-step solution:

1. List the data points:
- The provided data consists of pairs (weight, 40-yard dash time). The pairs are as follows:
- (190, 4.52)
- (191, 4.32)
- (180, 4.48)
- (200, 4.54)
- (188, 4.51)
- (190, 4.54)
- (190, 4.50)
- (180, 4.32)
- (208, 4.52)
- (180, 4.39)
- (180, 4.50)

2. Prepare a coordinate system:
- The x-axis represents the Weight in pounds (lb).
- The y-axis represents the 40-Yard Dash Time in seconds (sec).

3. Plot each point on the graph:
- Point 1: (190, 4.52)
- Point 2: (191, 4.32)
- Point 3: (180, 4.48)
- Point 4: (200, 4.54)
- Point 5: (188, 4.51)
- Point 6: (190, 4.54)
- Point 7: (190, 4.50)
- Point 8: (180, 4.32)
- Point 9: (208, 4.52)
- Point 10: (180, 4.39)
- Point 11: (180, 4.50)

4. Visual Representation:
- You would plot these points on the coordinate system and identify the position of each point relative to others.

Here’s a general template of how the scatter plot will look:

```
Dash Time (sec) ↑
|
4.55 |
|
4.54 | (200, 4.54) (190, 4.54)
|
4.53 |
|
4.52 | (190, 4.52) (208, 4.52)
|
4.51 | (188, 4.51)
|
4.50 | (190, 4.50) (180, 4.50)
|
4.49 |
|
4.48 | (180, 4.48)
|
4.47 |
|
4.46 |
|
4.45 |
|
4.44 |
|
4.43 |
|
4.42 |
|
4.41 |
| (180, 4.39)
4.40 |
|
4.35 |
|
4.34 |
|
4.33 |
|
4.32 | (191, 4.32) (180, 4.32)
|
|
+----------------------------------------------→ Weight (lb)
178 180 182 184 186 188 190 192 194 196 198 200 202 204 206 208
```
In this scatterplot, each pair of coordinates (weight, 40-yard dash time) is plotted to provide a visual representation of the relationship between a player's weight and their dash time.

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