Patty's Parasols recorded the monthly rainfall and their umbrella sales for an entire year. The following table shows the inches of rainfall and the number of umbrellas the store sold each month. The relationship between
the inches of rainfall and umbrella sales can be modeled using a linear function.
Month
Jan. Feb. Mar. Apr. May Jun Jul Aug Sept. Oct. Nov. Dec.
Rainfall (in.)
3.1 4.0 4.3 3.6 2.4 1.2 0.6 1.5 1.4 1.1 2.6
Umbrella sales 132 140 162 170 156 103 98 87 84 78 110 125
2.5
(a) Using technology, determine the correlation coefficient for the data to the nearest hundredth. Explain
the steps you used.
(b) What does the correlation coefficient for the data indicate about the direction and strength of the
linear association between the monthly rainfall and the number of umbrellas sold?

answer: 20

step-by-step explanation:

nlgqer

step-by-step

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

rotation point l

step-by-step explanation: