Chloe surveyed students in her class about the numbers of text messages they sent and received the previous day. An approximate least-squares regression line was used to predict the number of text
messages received from a given number of text messages sent.
80+
70-
60+
50+
Text messages received
40-
30
20+
10+
10 20 30 40 50 60 70 80
Text messages sent
Interpret the residual for the student indicated in the scatterplot above.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

c.

step-by-step explanation:

she should of added 9^2 and 12^2. that is because it is a^2+b^2=c^2. c^2 is the hypotenuse and should always be bigger than the other two numbers. which is why she should of added 9 squared and 12 squared together instead of 15 squared.

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