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a survey wanted to determine if there was a relationship between the nu…

Question

a survey wanted to determine if there was a relationship between the number of joggers who used a local park for exercise and the temperature outside. the data in the table display their findings.

temperature in fahrenheit, ( x )number of joggers, ( y )
308
308
414
4216
4920
4914
5516
6634
7244
8540
9415

use graphing technology to create a scatter plot of the data.

Explanation:

Step1: Identify Variables

The independent variable (x) is temperature (°F), and the dependent variable (y) is the number of joggers.

Step2: Prepare Data Points

List the (x, y) pairs from the table: (15, 4), (30, 8), (30, 8), (41, 4), (42, 16), (49, 20), (49, 14), (55, 16), (66, 34), (72, 44), (85, 40), (94, 15).

Step3: Use Graphing Tech

Input these (x, y) pairs into graphing software (e.g., Desmos, TI - 84) to plot the scatter plot. On the x - axis, set the range to include 15 - 94. On the y - axis, set the range to include 4 - 44. Each point is plotted at its respective (x, y) coordinate.

Answer:

To create the scatter plot:

  1. Define Axes: Let the x - axis represent temperature (in °F) and the y - axis represent the number of joggers.
  2. Plot Points: For each row in the table, plot a point where the x - coordinate is the temperature value and the y - coordinate is the number of joggers. For example, plot (15, 4), (30, 8), (30, 8), (41, 4), (42, 16), (49, 20), (49, 14), (55, 16), (66, 34), (72, 44), (85, 40), (94, 15).
  3. Adjust Scales: Adjust the scales of the x - axis (e.g., from 0 to 100) and y - axis (e.g., from 0 to 50) to clearly display all the points.

(Note: Since this is a text - based response, the actual scatter plot would be visualized using graphing technology with the above - mentioned points plotted.)