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Rasek [7]
3 years ago
6

A line of best fit is drawn for the set of points shown on the graph. Which point is an approximate extrapolation for x = 30 fro

m the line of best fit? (23, 30) (30, 38) (44, 30) (30, 72)

Mathematics
2 answers:
Goshia [24]3 years ago
8 0

Answer with explanation:

Equation of Linear Regression line is

 y=1.14 x + 3.805

A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.

for, x=30

y=1.14 × 30 +3.805

y=34.20 +3.805

y=38.005

y=38 (approx)

So, Ordered pair is , (30,38)

Option B

Mashcka [7]3 years ago
5 0

Answer:

Step-by-step explanation:

B

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In a recent​ year, companies spent a total of $88.4 billion on​newspaper, television, and radio ads. The total amount spent on t
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Answer:

(a) amount spent on newspaper ads = $42.8 billion.

(b) amount spent on television ads = $37.2 billion.

(c) amount spent on radio ads = $8.4 billion.

Step-by-step explanation:

Let us denote amount spent on Newspaper ads by symbol N.

                       amount spent on Television ads by symbol T.

                       amount spent on Radio ads by symbol R.

  • Given Total amount spent on newspaper, television, and radio ads =

                   N + T + R = $88.4 billion  -------- [Equation 1]

  • Total amount spent on television and radio ads was only $2.8 billion more than the amount spent on newspaper ads alone is represented by the expression :

                   T + R = $2.8 + N   ---------- [Equation 2]

  • The amount spent on newspaper ads was $5.6 billion more than what was spent on television ads.

                       N = $5.6 + T ----------- [Equation 3]

Now, taking value of R from Equation 1 and Equation 2 respectively we get;

              R = $88.4 - T - N ------------ [Equation 4]

              R = $2.8 + N - T ------------- [Equation 5]

Equating and solving Equation 4 and 5 we get,

           $88.4 - T - N = $2.8 + N - T

            $88.4 - $2.8 = 2*N

    Hence, N = $42.8 billion.

Now putting value of N in Equation 3 we get T = $42.8 - $5.6 = $37.2 billion.

And at last putting values of N & T in Equation 1 we get,

               R = $88.4 - $37.2 - $42.8 = $8.4 billion .

<em>Therefore, amount spent on newspaper ads = $42.8 billion.</em>

<em>                   amount spent on television ads = $37.2 billion.</em>

<em>                   amount spent on radio ads = $8.4 billion.</em>

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