Question
b) Variable Definitions and Descriptive Statistics Which variable is the dependent variable and what are the independent variables? What do the variables mean and what
b) Variable Definitions and Descriptive Statistics
Which variable is the dependent variable and what are the independent variables? What do the variables mean and what are their units of measurement? Present this in a table in Word.
Present descriptive statistics for the dependent variable by using Excel to calculate the mean, median, mode and standard deviation. Present this in a table in your Word document.
Use Excel to create a histogram of your dependent variable. Copy this histogram to your Word document and comment on whether it is skewed and unimodal, bimodal or multimodal.
Use Excel to create a correlation matrix for all variables. Copy this correlation matrix to your Word document and comment on the degree of correlation among the independent variables.
Make a scatter diagram of the dependent variable and the independent quantitative variable having the highest correlation with your dependent variable.
c) Simple Linear Regression Analysis (SLR)
Perform a SLR with your dependent variable and the independent quantitative variable having the highest correlation with your dependent variable.
Use your scatter diagram from b): Place this chart on the same worksheet as where the estimated regression equation is located. Add a trend line and the estimated regression equation to the chart. Copy it to your Word document and comment on the following items:
1. What does it tell you about the relationship between the two variables? 2. State the population regression model to be estimated. 3. Describe the goodness of fit of the estimated regression line. 4. State the least-squares estimates of the slope and the intercept. 5. Give practical meanings (interpret the values) to the estimated slope and intercept.
d) Multiple Linear Regression Analysis (MLR)
Perform two different MLRs of your dependent variable against a selection of your independent variables, and use the Partial F-test to compare the two models. On the basis of this test, which of the two models is the preferred one? Comment on why this is the preferred model.
Given the correlations among the independent variables that you found earlier, are there any reasons to believe that we may have substantial multicollinearity? What does this mean? Comment on this in your Word document and, if necessary, undertake a remedy.
Please show all formulas used on excel spreadsheet
Country | Life Expectancy | People per Television | People per Physician | Female Life Expectancy | Male Life Expectancy |
Argentina | 70.5 | 4 | 370 | 74 | 67 |
Bangladesh | 53.5 | 315 | 6166 | 53 | 54 |
Brazil | 65 | 4 | 684 | 68 | 62 |
Canada | 76.5 | 1.7 | 449 | 80 | 73 |
China | 70 | 8 | 643 | 72 | 68 |
Colombia | 71 | 5.6 | 1551 | 74 | 68 |
Egypt | 60.5 | 15 | 616 | 61 | 60 |
Ethiopia | 51.5 | 503 | 36660 | 53 | 50 |
France | 78 | 2.6 | 403 | 82 | 74 |
Germany | 76 | 2.6 | 346 | 79 | 73 |
India | 57.5 | 44 | 2471 | 58 | 57 |
Indonesia | 61 | 24 | 7427 | 63 | 59 |
Iran | 64.5 | 23 | 2992 | 65 | 64 |
Italy | 78.5 | 3.8 | 233 | 82 | 75 |
Japan | 79 | 1.8 | 609 | 82 | 76 |
Kenya | 61 | 96 | 7615 | 63 | 59 |
Korea, North | 70 | 90 | 370 | 73 | 67 |
Korea, South | 70 | 4.9 | 1066 | 73 | 67 |
Mexico | 72 | 6.6 | 600 | 76 | 68 |
Morocco | 64.5 | 21 | 4873 | 66 | 63 |
Myanmar (Burma) | 54.5 | 592 | 3485 | 56 | 53 |
Pakistan | 56.5 | 73 | 2364 | 57 | 56 |
Peru | 64.5 | 14 | 1016 | 67 | 62 |
Philippines | 64.5 | 8.8 | 1062 | 67 | 62 |
Poland | 73 | 3.9 | 480 | 77 | 69 |
Romania | 72 | 6 | 559 | 75 | 69 |
Russia | 69 | 3.2 | 259 | 74 | 64 |
South Africa | 64 | 11 | 1340 | 67 | 61 |
Spain | 78.5 | 2.6 | 275 | 82 | 75 |
Sudan | 53 | 23 | 12550 | 54 | 52 |
Taiwan | 75 | 3.2 | 965 | 78 | 72 |
Tanzania | 52.5 | * | 25229 | 55 | 50 |
Thailand | 68.5 | 11 | 4883 | 71 | 66 |
Turkey | 70 | 5 | 1189 | 72 | 68 |
Ukraine | 70.5 | 3 | 226 | 75 | 66 |
United Kingdom | 76 | 3 | 611 | 79 | 73 |
United States | 75.5 | 1.3 | 404 | 79 | 72 |
Venezuela | 74.5 | 5.6 | 576 | 78 | 71 |
Vietnam | 65 | 29 | 3096 | 67 | 63 |
Zaire | 54 | * | 23193 | 56 | 52 |
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