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.
For the following function f and real number a,
a. find the slope of the tangent line mtan
=
f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x)=
2
=
a = 2
x2
a. Slope:
b. Equation of tangent line: y
Please refer below
Chapter 4 Solutions
Pearson eText for Precalculus Essentials -- Instant Access (Pearson+)
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