Interpreting Word Problems on Scatter Plot

Q.

A cell phone company collected data of texting speed in words per minute according to time in minutes.

Explain why a scatterplot is used to represent the data, including the purpose of scatterplots.

Q. A strain gauge is used to measure weight of a substance based on the voltage generated by the strain gauge. In industry, strain gauges are calibrated by recording the voltage generated with respect to the load applied on the gauge. The following plot depicts experimental data of such calibrations.

How the applied weight and voltage of the gauge are correlated?
Also, find the approximate value of applied weight for a gauge output voltage of $1.2$ V.

1. Positive correlation
2. Negative correlation
3. Approximate weight is $12$ kg.
4. Approximate weight is $7$ kg.

Q. The scatter plot of the speed of a bike with respect to time is shown below for multiple trials.
Predict the correlation between the speed of bike and time elapsed and guess the slope of the line of best fit.

1. No correlation
2. Positive correlation
3. Slope $=5$ units
4. Slope $=10$ units

Q. An experiment is performed by recording the instantaneous height of the lift with respect to time elapsed. The following scatter plot depicts the recorded data.

What is the correlation between the height of the lift and time for this particular situation?

1. Positive correlation
2. Negative correlation
3. No correlation

Q. The amount of rainfall is measured using rain gauges. At a location in the USA, the data of the amount of rainfall (cm per hour) and wind speed (km per hour) are acquired over a rainy season and plotted in a scatter plot.

Find the correlation between the amount of rainfall and wind speed. Is it possible to determine the wind speed based on the amount of rain?

1. Positive correlation
2. Zero correlation
3. Yes, it is possible to predict the wind speed based on the amount of rainfall.
4. No, it is not possible to predict the wind speed based on the amount of rainfall.

Q. Jordan is very conscious about his health. He goes for a morning walk on a daily basis. He keeps a track of the time that he needs to cross different distances as tabulated below.
Miles Time (minutes)

$1.5$	$33$
$2$	$40$
$2.5$	$52$
$3$	$60$

On a Sunday, Jordan decides to cover $3.5$ miles. How much time in minutes Jordan needs to complete $3.5$ miles walk?

1. $65$
2. $70$
3. $75$
4. $80$