What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decima
l places.
x y
2 30
5 19
7 20
12 9
16 2
A. y = -1.893x + 31.901
B. y = 1.893x - 31.901
C. y = 31.901x - 1.893
D. y = -31.901x + 1.893
x y
2 30
5 19
7 20
12 9
16 2
A. y = -1.893x + 31.901
B. y = 1.893x - 31.901
C. y = 31.901x - 1.893
D. y = -31.901x + 1.893
2 answers:
Answer:
Option: A is the correct answer.
A. y = -1.893x + 31.901
Step-by-step explanation:
We are given a table of values as:
x y
2 30
5 19
7 20
12 9
16 2
Now clearly from the set of values we see that with the increasing value of x the y-value is decreasing this means that the correlation is negative.
Hence, the slope of the line of best fit will be negative.
Hence, option: B and option: C are discarded.
Hence, when we plot the data values in a scatter plot.
We see that the equation of line of best fit is:
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Answer:
Actual distance between the two cities given on the map = 78.0 miles
Step-by-step explanation:
Scale used for the actual distance between two cities on a map is,
5 in. = 15 mi.
in. =
mi.
1 mi. = in.
1 inch = 3 miles
Therefore, 26 inches on the map = 26 × 3
= 78 miles
Therefore, actual distance between the two cities given on the map = 78.0 miles