Definition Definition Representation of the direction and degree of correlation in graphical form. The grouping of points that are plotted makes it a scatter diagram. A line can be drawn showing the relationship based on the direction of points and their distance from each other.
Chapter 4.5, Problem 110PE
(a)
To determine
To graph: A scatter plot of the data given below.
x (Month)
Average monthly temperature (°F)
1 (January)
33.5
2 (February)
35.6
3 (March)
46.3
4 (April)
57.2
5 (May)
63.2
6 (June)
74.5
7 (July)
79.8
8 (August)
77.6
9 (September)
70.9
10 (October)
59.4
11 (November)
46.3
12 (December)
38.2
(b)
To determine
To calculate: The sinusoidal function of the form y=Asin(Bx+C)+D that best fits in data given below.
x (Month)
Average monthly Temperature (°F)
1 (January)
33.5
2 (February)
35.6
3 (March)
46.3
4 (April)
57.2
5 (May)
63.2
6 (June)
74.5
7 (July)
79.8
8 (August)
77.6
9 (September)
70.9
10 (October)
59.4
11 (November)
46.3
12 (December)
38.2
(c)
To determine
To graph: The sinusoidal function of best fit on the scatter plot for the average temperature of delhi given below.
The graph of f' is below. Use it to determine where the local minima and maxima for f are. If there
are multiple answers, separate with commas.
2
f'(x)
N
-5 -4 3-2-1
-1
-2
-3
-4
12 3 4 5
-x
Local minima at x
Local maxima at x
The graph of f' is below. Use it to determine the intervals where f is increasing.
-5-4-32
4-
3
2
1
-2
-3
+x
2
3 4 5
The graph of f' is below. Use it to determine where the inflection points are and the intervals where f
is concave up and concave down. If there are multiple inflection points, separate with a comma.
6
5
4
3
2
1
f'(x)
+x
-6-5-4-3 -2 -1
1 2 3 4 5
6
-1
-2
-3
-4
-5
-6+
Inflection point(s) at x =
Concave up:
Concave down:
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