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The best fitting line relating the dependent variable y to the independent variable x, often called the regression or least-squares line, is found by minimizing the sum of the squared differences between the data points and the line itself.

On Jul 14, 2024


True
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Which statement(s) verify that f(x) =9x−1f ( x ) = 9 x - 1f(x) =9x1 and g(x) =19(x+1) g ( x ) = \frac { 1 } { 9 } ( x + 1 ) g(x) =91(x+1) are inverse?

A) f(x) ⋅g(x) =(9x−1) 19(x+1) =−1f ( x ) \cdot g ( x ) = ( 9 x - 1 ) \frac { 1 } { 9 } ( x + 1 ) = - 1f(x) g(x) =(9x1) 91(x+1) =1
B) f(g(x) ) =(9(19x) +1) −1=x,g(f(x) ) =19(9(x−1) +1) =xf ( g ( x ) ) = \left( 9 \left( \frac { 1 } { 9 } x \right) + 1 \right) - 1 = x , g ( f ( x ) ) = \frac { 1 } { 9 } ( 9 ( x - 1 ) + 1 ) = xf(g(x) ) =(9(91x) +1) 1=x,g(f(x) ) =91(9(x1) +1) =x
C) f(g(x) ) =(9(19x) +1) −1=x;g(f(x) ) =19((9x−1) +1) =xf ( g ( x ) ) = \left( 9 \left( \frac { 1 } { 9 } x \right) + 1 \right) - 1 = x ; g ( f ( x ) ) = \frac { 1 } { 9 } ( ( 9 x - 1 ) + 1 ) = xf(g(x) ) =(9(91x) +1) 1=x;g(f(x) ) =91((9x1) +1) =x
D) f(g(x) ) =9(19(x+1) ) −1=x;g(f(x) ) =19((9x−1) +1) =xf ( g ( x ) ) = 9 \left( \frac { 1 } { 9 } ( x + 1 ) \right) - 1 = x ; g ( f ( x ) ) = \frac { 1 } { 9 } ( ( 9 x - 1 ) + 1 ) = xf(g(x) ) =9(91(x+1) ) 1=x;g(f(x) ) =91((9x1) +1) =x
E) f(x) g(x) =9(x−1) 9(x+1) =−1\frac { f ( x ) } { g ( x ) } = \frac { 9 ( x - 1 ) } { 9 ( x + 1 ) } = - 1g(x) f(x) =9(x+1) 9(x1) =1

On Jul 12, 2024


D
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A $3,000 payment is scheduled for 6 months from now. If money is worth 6.75%, calculate the payment's equivalent values at two-month intervals beginning today and ending one year from now.

On Jun 14, 2024


$2,902.06 today, $2,933.99 in 2 months, $2,966.63 in 4 months, $3,000 in 6 months, $3,033.75 in 8 months, $3,067.50 in 10 months, $3,101.25 in 12 months
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Terri and Larry plan to invest $5,000 at the end of each year in an individual retirement account earning a rate of return of 11% compounded annually. What will be the value of the account after 15 years?

A) $119,864
B) $172,027
C) $198,215
D) $214,739
E) $359,543

On Jun 12, 2024


B
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Determine the unknown value for the following deferred annuity. The annuity is understood to be an ordinary annuity after the period of deferral.
Determine the unknown value for the following deferred annuity. The annuity is understood to be an ordinary annuity after the period of deferral.

On May 13, 2024


2 years and 6 months
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Real limits are ______.

A) the values of a variable that fall halfway between the top of one interval and the bottom of the next interval
B) the smallest value of a variable that would be grouped into a particular interval
C) the largest value of a variable that would be grouped into a particular interval
D) a small number of intervals that provide the frequencies within each interval

On May 12, 2024


A