Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. Using the provided information draw a scatterplot of the data. Based on the data, make an inference about if you should take your truck on a road trip to an area that has very low temperatures predicted for the time you will be there.
Data from Previous Truck Head Gaskets
Temperature (°C) Damage Index
12 11
13 8
14 8
16 2
18 2
19 2
19 2
19 1
19 1
20 0
21 4
21 0
21 0
a
I would recommend that he does not go as lower temperatures have a strong negative correlation, therefore the lower the temperature the more damage is caused.
b
I would recommend that he goes as lower temperatures have a strong positive correlation, therefore the lower the temperature the less damage is caused.
c
I would recommend that he does not go as higher temperatures have a strong positive correlation therefore the higher the temperature the more damage is caused.
d
I would recommend that he goes as there were many more temperatures with no damage than with damage.
a) I would recommend that he does not go as lower temperatures have a strong negative correlation, therefore the lower the temperature the more damage is caused.
is that the answer
Yes, option a is the answer.
To draw a scatterplot of the given data, you need to plot the values of temperature (°C) on the x-axis and the corresponding damage index on the y-axis. Each data point represents a temperature value and the associated damage index. Here is how you can create a scatterplot based on the given data:
Temperature (°C): 12, 13, 14, 16, 18, 19, 19, 19, 19, 20, 21, 21, 21
Damage Index: 11, 8, 8, 2, 2, 2, 2, 1, 1, 0, 4, 0, 0
Now, plot each data point on a graph with temperature on the x-axis and the damage index on the y-axis. For example, the first data point (12, 11) would be plotted at the coordinates (12, 11) on the graph. Repeat this process for all the data points and connect them with a scatterplot.
Based on the scatterplot, you can make an inference about whether you should take your truck on a road trip to an area with very low temperatures. Look for any observable pattern or trend in the data points. In this case, if there is a strong negative correlation between the temperature and the damage index, it suggests that lower temperatures result in more damage to the head gasket.
Based on the provided options, the correct inference would be:
a. I would recommend that he does not go as lower temperatures have a strong negative correlation, therefore the lower the temperature the more damage is caused.