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Bumek [7]
3 years ago
13

To investigate the relationship between amount of sales y (in thousands of dollars) and the amount x (in hundreds of dollars) sp

ent on advertising, a marketing researcher chooses eight cities of approximately equal populations and spends differing amounts on advertising in each city. The sales y and the amount x spent on advertising are recorded for each city. From the data the least squares prediction line is: = 24.45 + 2.38x.
Interpret the slope of the least squares line.
(A) For each additional hundred dollars spent on advertising, sales are predicted to increase by $2,380.
(B) If no money is spent on advertising, sales are predicted to be $24.45.
(C) For each additional hundred dollars spent on advertising, sales are predicted to increase by $24,452.
(D) For each additional $1000 dollars in sales, the amount spent on advertising is predicted to increase by $238.
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Answer:

(A) For each additional hundred dollars spent on advertising, sales are predicted to increase by $2,380.

Step-by-step explanation:

Regression isa statistical equation, denoting relationship between independent (causal) variable(s) & dependent (effected) variable.

y = a <u>+</u> bx

where y = dependent variable, x = dependent variable, a (intercept) = autonomous value of y, b (slope) = change in y due to change in x

Regression equation of independent variable (x) as advertising expenditure & dependent variable (y) sales : y = 24.45 + 2.38x

Sales are in thousands of dollars, advertising expenditure is in hundreds of dollars. So, the interpretations are :

  • Intercept interpretation : When there is zero advertising expenditure, sales are 24.45 thousands i.e $24450
  • Slope Interpretation :<u> When advertisement expenditure change (rise) by 1 hundred, sales change (rise) by 2.38 thousand i.e</u><u> </u><u>$2380</u>
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Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is


x=\frac{-b+\sqrt{b^2-4ac} }{2a}.


It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}

We will now solve for the plus and the minus.

The plus,,,

x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3

and the minus...

x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...

8 0
3 years ago
What is 1/12 of 162.56
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What is the volume of a closet that is 5 feet wide,2 feet deep and 8 feet high?
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Answer:

t(99)= -2.89

Step-by-step explanation:

-To places after the decimal point is equivalent to rounding off to the nearest hundredth.

-To round off to the nearest hundredth, we check the thousandths digit:

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<u>Correct Question:</u>

What is the product in simplest form?

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<u>Answer:</u>

-\frac{9}{22} is the product in simplest form

<u>Step-by-step explanation:</u>

We can find the simplest form of solving two fractions. So, to make the fractions multiplication simple, multiply two fractions in the numerator and divide it by the denominators of the two fractions. In the given case,

                    -\frac{6}{11} \times \frac{3}{4}

To simplify, multiply both 6 and 3 in numerator and multiply 11 and 4 in denominator of two fractions. So, we get

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