Answer:
Step-by-step explanation:
Hello!
Given the variables
X: daily hotel room rate
Y: amount spent on the entertainment
See second attachment for scatter plot.
The population regression equation is E(Yi)= α + βXi
To estimate the y-intercept and the slope of the regression equation you have to apply the following formulas:
a= Y[bar]-bX[bar]
n= 9; ∑X= 945; ∑X²= 103325; ∑Y= 1134 ∑Y²= 148804; ∑XY= 123307
X[bar]= ∑X/n= 945/9= 105
Y[bar]= ∑Y/n= 1134/9= 126
a= 126 - 1.03*105= 17.49
^Y= 17.49 + 1.03Xi
Slope interpretation: The estimated average amount spent on entertainment increases 1.03 every time the daily hotel room rate increases one unit.
If the room rate for Chicago is $128 (X), to predict the mount spent in entertainment (Y) you have replace it in the estimated regression line:
^Y= 17.49 + 1.03Xi= 17.49 + 1.03*128= 149.33
The expected amount spent on entertainment for Chicago is $149.33
I hope this helps!
Answer:
x=5/2
Step-by-step explanation:
Answer:
0.3
30%
Step-by-step explanation:
To write 15/50 as a percent, you have to multiply the fraction by 100
x 100
dividing 100 by 50 gives 2
15 x 2 = 30%
to convert 15/50 to a decimal, first simply the fraction.
Both the numerator and denominator can be divided by 5
3/10
the next step is to divide the numerator by the denominator
3/10 = 0.3
Answer:
a) CI = ( 5,1 ; 5,7 )
b) SE = 0,1
Step-by-step explanation:
a) Sample random n = 100
Mean = μ = 5,4
Standard deviation s = 1,3
CI = 99 % α = 1 % α = 0,01 α/2 = 0,005
z(c) for 0,005 is from z-table z(c) = 2,575
z(c) = ( X - μ ) /s/√n CI = μ ± z(c) * s/√n
CI = 5,4 ± 2,575* 1,3/10
CI = 5,4 ± 0,334
CI = ( 5,1 ; 5,7 )
b) SE = Standard deviation / √n
SE = 1,3 /10 SE = 0,1
We can support that with 99 % of probability our random variable will be in the CI.
To solve, simply layout an equation.
(2x+3)(x+4)=1
Step 1: Simplify both sides of the equation.
2x2+11x+12=1
Step 2: Subtract 1 from both sides.
2x2+11x+12−1=1−1
2x2+11x+11=0
Step 3: Use quadratic formula with a=2, b=11, c=11.
x=-b±√b^2-4ac/2a
So, the answer for this problem is:
x=-11/4+1/4√33 or -11/4+-1/4√33
