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Rainbow [258]
3 years ago
7

Which of the following is a true statement? a) The correlation coefficient r is always greater than 1. b) The coefficient of det

ermination can never assume negative values. c) The variable that is being predicted in regression analysis is the independent variable. d) A negative correlation indicates that as values of x decrease, values of y will decrease. e) If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be -1. f) None of the above
Mathematics
1 answer:
brilliants [131]3 years ago
6 0

Answer:

f) None of the above.

Step-by-step explanation:

When we try to adjust a curve from a scatter plot to try and predict values of the dependent variable y given known values of the independent variable x.

The curve is a function y=f(x) which usually is a line, a logarithmic, parabola, power or exponential.

In order to choose which curve adjust the best, we compute a number r called correlation coefficient.

The closer r  is to -1 or +1, the better the curve adjust the scatter plot.

When r =0, we say there is no correlation between the points x and y

When -1<r<0 we say there is a negative correlation, this means that the values of y decrease as the values of x increase.

When 0<r<1 we say there is a positive correlation, this means that the values of y increase as the values of x increase.

When r =1 or r =-1, we say that there is a perfect correlation. It means that all of the points of the scatter plot lie on the curve.

So, from the possible choices of answer, f) None of the above is the right one.

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Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teac
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Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+i)^n

Being:

FV= Future Value

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FV= 1,000*(1.12^n)

<u>For example, for one year:</u>

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2 years ago
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3 years ago
In a box, 1/4 of the beads are red, 3/5 of the remainder are yellow, and the rest are blue. If there are 48 blue beads, how many
Andrei [34K]

Answer:

160 total beads

Step-by-step explanation:

so if 1/4 of the beads are red, then 3/4 of them are not.....so 3/4 is the remainder of beads.....and 3/5 of the remainder are yellow....so 3/5 of 3/4 =

3/5 * 3/4 = 9/20...so 9/20 are yellow.....and the rest (48) are blue.

1/4 + 9/20 = 5/20 + 9/20 = 14/20 reduces to 7/10...so 7/10 of the beads are red and yellow

so if 7/10 of the beads are red and yellow, then 3/10 are blue

3/10 of what number is 48

3/10x = 48

x = 48 * 10/3

x = 480/3

x = 160

let me check it..

1/4 are red......160 total beads.....so red beads = (1/4 * 160) = 160/4 = 40

3/5 of the remainder is yellow.....so 3/5 of (160 - 40) = 3/5(120) = 72 yellow

and then u have 48 blue...

40 + 72 + 48 = 160

so there are 160 total beads.......40 red, 72 yellow, and 48 blue <===

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