Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

you will find the 2018 data for 17 cities in the data set Cost of Living. Included are the 2018 cost of living index, cost

you will find the 2018 data for 17 cities in the data set Cost of Living. Included are the 2018 cost of living index, cost of a 3-bedroom apartment (per month), price of monthly transportation pass, price of a mid-range bottle of wine, price of a loaf of bread (1 lb.), the price of a gallon of milk and price for a 12 oz. cup of black coffee. All prices are in U.S. dollars. In the cities of Athens, Amsterdam, and Vancouver.

You use this information to run a Multiple Linear Regression to predict Cost of living, along with calculating various descriptive statistics.

City Cost of Living Index Rent (in City Centre) Monthly Pubic Trans Pass Loaf of Bread Milk Bottle of Wine (mid-range) Coffee
Athens 63.06 $569.12 $35.31 $0.80 $5.35 $8.24 $2.88
Amsterdam 85.9 $2,823.28 $105.93 $1.33 $4.34 $7.06 $1.71
Vancouver 74.06 $2,937.27 $74.28 $2.28 $7.12 $14.38 $1.47
  • Based on the MLR output, what variable(s) is/are significant?
  • From the significant predictors, review the mean, median, min, max, Q1 and Q3 values?
    • It might be a good idea to compare these values to what the New York value is for that variable. Remember New York is the baseline as that is where headquarters are located.
  • Based on the descriptive statistics, for the significant predictors, what city has the best potential?
    • What city or cities fall are below the median?
    • What city or cities are in the upper 3rd quartile?
mean 75.49 $2,463.12 $78.01 $1.47 $4.71 $10.41 $1.76
median 82.2 $2,354.10 $74.28 $1.37 $4.34 $8.24 $1.71
min 31.74 $569.12 $7.66 $0.41 $2.68 $5.46 $0.84
max 100 $5,877.45 $173.81 $2.93 $7.90 $17.75 $2.88
Q1 66.75 $1,695.77 $41.20 $1.04 $3.63 $7.06 $1.51
Q3 88.33 $2,937.27 $105.93 $1.77 $5.35 $14.12 $1.98

the MLR has already been calculated. Your task is to interpret the data for the cities of Athens, Amsterdam, and Vancouver.

City Cost of Living Index Rent (in City Centre) Monthly Pubic Trans Pass Loaf of Bread Milk Bottle of Wine (mid-range) Coffee
Mumbai 31.74 $1,642.68 $7.66 $0.41 $2.93 $10.73 $1.63
Prague 50.95 $1,240.48 $25.01 $0.92 $3.14 $5.46 $2.17
Warsaw 45.45 $1,060.06 $30.09 $0.69 $2.68 $6.84 $1.98
Athens 63.06 $569.12 $35.31 $0.80 $5.35 $8.24 $2.88
Rome 78.19 $2,354.10 $41.20 $1.38 $6.82 $7.06 $1.51
Seoul 83.45 $2,370.81 $50.53 $2.44 $7.90 $17.57 $1.79
Brussels 82.2 $1,734.75 $57.68 $1.66 $4.17 $8.24 $1.51
Madrid 66.75 $1,795.10 $64.27 $1.04 $3.63 $5.89 $1.58
Vancouver 74.06 $2,937.27 $74.28 $2.28 $7.12 $14.38 $1.47
Paris 89.94 $2,701.61 $85.92 $1.56 $4.68 $8.24 $1.51
Tokyo 92.94 $2,197.03 $88.77 $1.77 $6.46 $17.75 $1.49
Berlin 71.65 $1,695.77 $95.34 $1.24 $3.52 $5.89 $1.71
Amsterdam 85.9 $2,823.28 $105.93 $1.33 $4.34 $7.06 $1.71
New York 100 $5,877.45 $121.00 $2.93 $3.98 $15.00 $0.84
Sydney 90.78 $3,777.72 $124.55 $1.94 $4.43 $14.01 $2.26
Dublin 87.93 $3,025.83 $144.78 $1.37 $4.31 $14.12 $2.06
London 88.33 $4,069.99 $173.81 $1.23 $4.63 $10.53 $1.90
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.935824078
R Square 0.875766706
Adjusted R Square 80.12%
Standard Error 8.30945321
Observations 17
ANOVA
df SS MS F Significance F
Regression 6 4867.380768 811.2301279 11.74895331 0.00049963
Residual 10 690.4701265 69.04701265
Total 16 5557.850894
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 35.63950178 15.41876933 2.311436213 0.043401141 1.284342794 69.99466077 1.284342794 69.99466077
Rent (in City Centre) -0.003212852 0.003974813 -0.808302603 0.437722785 -0.012069287 0.005643584 -0.012069287 0.005643584
Monthly Pubic Trans Pass 0.299650003 0.076964051 3.89337619 0.002993072 0.128163411 0.471136595 0.128163411 0.471136595
Loaf of Bread 16.59481787 6.713301249 2.47193106 0.032995588 1.636650533 31.55298521 1.636650533 31.55298521
Milk 2.912081706 1.98941146 1.463790555 0.173964311 -1.520603261 7.344766672 -1.520603261 7.344766672
Bottle of Wine (mid-range) -0.889805486 0.740190296 -1.202130709 0.257006081 -2.539052244 0.759441271 -2.539052244 0.759441271
Coffee -2.527438053 6.484555358 -0.389762738 0.704884259 -16.97592778 11.92105168 -16.97592778 11.92105168

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Authors: Sue Pemberton

2nd Edition

1108411665, 9781108411660

More Books

Students also viewed these Mathematics questions

Question

Define Administration?

Answered: 1 week ago