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>
Total tickets sold = 800
Total revenue = $3775
Ticket costs:
$3 per child,
$8 per adult,
$5 per senior citizen.
Of those who bought tickets, let
x = number of children
y = number of adults
z = senior citizens
Therefore
x + y + z = 800 (1)
3x + 8y + 5z = 3775 (2)
Twice as many children's tickets were sold as adults. Therefore
x = 2y (3)
Substitute (3) into (1) and (2).
2y + y + z = 800, or
3y + z = 800, or
z = 800 - 3y (4)
3(2y) + 8y + 5z = 3775, or
14y + 5z = 3775 (5)
Substtute (4) nto (5).
14y + 5(800 - 3y) = 3775
-y = -225
y = 225
From (4), obtain
z = 800 - 3y = 125
From (3), obtain
x = 2y = 450
Answer:
The number of tickets sold was:
450 children,
225 adults,
125 senior citizens.
Answer:
290
Step-by-step explanation:
First, add two digit number from them.
50 + 30 = 80
Second, add the last two numbers.
6 + 4 = 10
So, add these two results.
80 + 10 = 90
Final, all of theses results are added to three digit number of second number.
So, final result is
200 + 90 = 290
Let, the number = x
Then, x * 92% = 253
x = 253 / 0.92 [ 92% = 0.92 ]
x = 275
In short, Your Answer would be 275
Hope this helps!