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: The probability that she would choose cake is 0.33 (or 33%)
Step-by-step explanation: The number of all possible outcomes is given as follows;
4 (ice cream) + 3(cake) + 2(pie), that is 4 + 3 + 2 = 9
This means there is a possibility of 9 different outcomes if she decided to choose her dessert at random.
However, there are 3 flavors of cake available which means the possibility of choosing cake is 3.
Therefore the probability that she will choose a cake is give as,
P(Cake) = Number of required outcomes/Number of all possible outcomes
P(Cake) = 3/9
P(Cake) = 1/3 or 0.33
Therefore the probability that she would choose cake is 0.33 or 33%
I think Larry is 1/10 closer to Brianna's than Katie.
Answer:
The answer is
1. 27.659
2. 27.658
3. 27.657
4. 27.558
Step-by-step explanation:
Decreasing order is greatest number to the least.
I really hope this helps
An integer is close to zero if it is "small".
By small, we mean that it is small in absolute value. In fact, for any given distance
, there are two integers that are
units away from zero:
and
.
So, for example, -6 is close to zero than 8, because -6 is six units away from zero, while 8 is eight units away from zero.
So, the answer is B, -8, because it is 8 units away from zero. The other options A, C and D are, respectively, 12, 10 and 14 units away from zero.