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
I need help<br><br> -2(x-8)+4x= -12
Nastasia [14]

Answer:

x=-14

Step-by-step explanation:

-2(x-8)+4x= -12

-2x+16+4x=-12

2x=-28

x=-14

3 0
3 years ago
................................................................
Alekssandra [29.7K]

Answer:

A

Answer is A.

Hope this helps.

3 0
3 years ago
164+56-[3+4+1]=<br><br> WHAT IS THE ANSWER SHOW THE WORK
Law Incorporation [45]
164+56−(3+4+1) =220−(3+4+1) =220−(7+1) =220−8 =212
7 0
3 years ago
Read 2 more answers
What is the answer to this please?
sergij07 [2.7K]
The answer of the rotational symmetry is B, (6)
4 0
3 years ago
Twice x, plus 7, is the same as – 10.<br> The answer is N
sergij07 [2.7K]

Answer:

x=-8.5.

Step-by-step explanation:

First, write an equation. Twice x (2x) plus 7 (+7) is the same as (=) negative ten (-10), or 2x+7=-10. To solve, first subtract 7 from both sides to get 2x=-17. Then, divide both sides by 2 (x=-8.5).

3 0
3 years ago
Other questions:
  • The area of a rectangle is 56 square feet. The ratio of the width to the length is 2:7. Find the length and the width.
    13·1 answer
  • ASAP!!! PLEASE SHOW YOUR WORK!!!! <br><br> Solve the Equation<br><br> x - 12 ÷ 6 = 9
    7·1 answer
  • You subscribe to m different magazines. Your friend subscribes to 2 fewer than you
    9·1 answer
  • Gavin goes to the market and buys one rectangle shape board. The length of the board is 16 cm and width of board is 10cm . If he
    13·1 answer
  • A teacher is researching the effect of what type of font she uses on a test and the scores on the test to see if there is a
    6·1 answer
  • Choose the correct simplification of the expression (8x2)3.
    12·2 answers
  • How do I find the value of an expression ​
    8·1 answer
  • Vertx: (3, 1)<br> Focus: (3,-1)
    12·1 answer
  • Convert 23 days to weeks and days?
    12·1 answer
  • Angela is following this recipe to make biscuits.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!