1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sp2606 [1]
3 years ago
6

The following data on average daily hotel room rate and amount spent on entertainment (The Wall Street Journal, August 18, 2011)

lead to the estimated regression equation ŷ = 17.49 + 1.0334x. For these data SSE = 1541.4.
City Room Rate ($) Entertainment ($)
Boston 148 161
Denver 96 105
Na.shville 91 101
New Orleans 110 142
Phoenix 90 100
San Diego 102 120
San Francisco 136 167
San Jose 90 140
Tampa 82 98

(a) Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals).
(b) Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that haye a daily room rate of $89 (to 2 decimals).
(c) The average room rata in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).
Mathematics
1 answer:
Zielflug [23.3K]3 years ago
3 0

Answer:

a. Predicted Amount = $109.46

b. Confidence Interval = (94.84,124.08)

c. Interval = (110.6883,188.8517)

Step-by-step explanation:

Given

ŷ = 17.49 + 1.0334x.

SSE = 1541.4

a.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46 --- Approximated

Predicted Amount = $109.46

b.

ŷ = 17.49 + 1.0334(89)

ŷ = 109.4626

ŷ = 109.46

First we calculate the standard deviation

variance = SSE/(n-2)

v = 1541.4/(9-2)

v = 1541.4/7

v = 220.2

s = √v

s = √220.2

s = 14.839

Then we calculate mean(x) and ∑(x - (mean(x))²

X --- Y -- Mean(x) --- ∑(x - (mean(x))²

148 -- 161 -- 43-- 1849

96 || 105|| -9 || 81

91 ||101 || -14 || 196

110 || 142 || 5 || 25

90 || 100 || -15 || 225

102 || ||120 ||-3|| 9

136 || 167 ||31 ||961

90 || 140 ||-15 ||225

82 || 98 ||-23 || 529

Sum 945 || 1134|| 0 ||4100

Mean (x) = 945/9 = 105

∑(x - (mean(x))² = 4100

α = 1 - 95% = 5%

α/2 = 2.5% = 0.025

tα,df = n − 2 = t0.025,7 =2.365

Confidence interval = 109.46 ± 2.365 * 14.839 √((1/9)+ (89-105)²/4100

Confidence Interval = (109.46 ± 14.62)

Confidence Interval = (94.84,124.08)

c.

ŷ = 17.49 + 1.0334(128)

ŷ = 149.7652

ŷ = 149.77

Interval = 149.77 ± 2.365 * 14.839 √((1/9)+ (128-105)²/4100

Interval = 149.77 ± 39.0817

Interval = (110.6883,188.8517)

You might be interested in
Write the equation of the line that passes through the point (-1,-5) and has a slope of -2?
valkas [14]

Answer: Answer is B hope this helps

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Write an equation that is proportional.
maksim [4K]

Answer:Learn how to write a proportional equation y=kx where k is the so-called "constant of proportionality".

Step-by-step explanation:

https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-ratio-proportion/cc-7th-equations-of-proportional-relationships/v/equations-of-proportional-relationships#:~:text=Learn%20how%20to%20write%20a,called%20%22constant%20of%20proportionality%22.

5 0
3 years ago
Zoe is 16 years old. Her brother Luke is 3 years more than half her age. Write a numerical expression for Luke’s age.
Alenkasestr [34]

; Simplified =

Let "Zoe" = z

Let "Luke" = x

x = 16/2 + 3 is your equation

You're expression is

~

3 0
3 years ago
What is twenty nine times 35
miss Akunina [59]
29 times 35 would be 1,015
8 0
3 years ago
Read 2 more answers
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores
Mashutka [201]

The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.

<h3>What is probability distribution?</h3>

Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.

  • Probability distribution score:      1,       2,       3,       4,
  • x probability: p(x)                      0.06,  0.20,  0.48,  0.26

In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.    

Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.  

Learn more about the probability distribution here;

brainly.com/question/26615262    

3 0
2 years ago
Other questions:
  • What is the domain of the function X+1/x^2-6+8
    6·2 answers
  • Help please asap!!!!
    11·1 answer
  • How do i convert 10/3 into a mixed fraction
    14·1 answer
  • What two numbers multiply to -15 and can also add up to -7
    5·1 answer
  • What is the slope of the line on the grid.
    8·2 answers
  • I reallyyyyyyyyyyy need help!
    12·1 answer
  • Five less than 4/5 of a number is at most -29
    9·1 answer
  • How me do this help plz
    10·1 answer
  • James was putting the table cloth back on the table after dinner. The table is 25 inches long and 10 inches wide. If the table c
    12·2 answers
  • Help me pwease? very last minute
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!