Maths-
General
Easy
Question
A cable company recorded the percentage of households in the United States that had cable television from 1987 to 1997. In the scatterplot below, x represents the number of years since 1987 and y represents the percentage of households with cable television. The line of best fit for the data is shown.
Which of the following is the best interpretation of the slope of the line of best fit shown for these data?
- The actual increase in the percentage of households with cable television each year
- The predicted increase in the percentage of households with cable television each year
- The actual increase in the number of households with cable television each year
- The predicted increase in the number of households with cable television each year
The correct answer is: The predicted increase in the percentage of households with cable television each year
HINT: From the slope m, find the best interpretation.
Complete step by step solution:
We have the slope to be 
from the above question.
So from the graph, we can conclude that, in every 5 years the number of people who own tv goes up by 7%.
Also since it is the slope of the line of best fit, it's not the actual value but the predicted one.
Hence the best interpretation of the slope of the line of the best fit is the predicted increase in the percentage of
households with cable television each year.
Hence option B is the correct answer
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