Question
Assignment Guidance: In the Excel document, you will find the 2018 data for 17 cities in the data set Cost of Living. Included are the
Assignment Guidance:
In the Excel document, 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.
You use this information to run a Multiple Linear Regression to predict Cost of living, along with calculating various descriptive statistics. This is given in the Excel output (that is, the MLR has already been calculated. Your task is to interpret the data).
Based on this information, in which city should you open a second office in? You must justify your answer. If you want to recommend 2 or 3 different cities and rank them based on the data and your findings, this is fine as well.
Things to Consider:
To help you make this decision here are some things to consider:
- 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?
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 |
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 |
New York | 100 | $5,877.45 | $121.00 | $2.93 | $3.98 | $15.00 | $0.84 |
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 |
RESIDUAL OUTPUT | ||||||||
Observation | Predicted Cost of Living Index | Residuals | Standard Residuals | City | ||||
1 | 34.32607137 | -2.586071368 | -0.39366613 | Mumbai | ||||
2 | 53.21656053 | -2.266560525 | -0.345028417 | Prague | ||||
3 | 49.41436121 | -3.964361215 | -0.603477056 | Warsaw | ||||
4 | 58.63611785 | 4.42388215 | 0.673427882 | Athens | ||||
5 | 73.08449538 | 5.105504624 | 0.777188237 | Rome | ||||
6 | 86.50256003 | -3.052560026 | -0.464677621 | Seoul | ||||
7 | 75.89216916 | 6.307830843 | 0.960213003 | Brussels | ||||
8 | 67.7257781 | -0.975778105 | -0.148538356 | Madrid | ||||
9 | 90.51996071 | -16.45996071 | -2.50562653 | Vancouver | ||||
10 | 81.07358731 | 8.866412685 | 1.349694525 | Paris | ||||
11 | 83.80564633 | 9.134353675 | 1.390481989 | Tokyo | ||||
12 | 80.02510391 | -8.37510391 | -1.274904778 | Berlin | ||||
13 | 82.41624318 | 3.483756815 | 0.530316788 | Amsterdam | ||||
14 | 97.75654811 | 2.243451893 | 0.341510693 | New York | ||||
15 | 87.73993924 | 3.040060757 | 0.462774913 | Sydney | ||||
16 | 86.81668291 | 1.11331709 | 0.169475303 | Dublin | ||||
17 | 94.36817468 | -6.038174677 | -0.919164446 | London |
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