Earnings functions attempt to find the determinants of earnings, using both continuous and binary variables. One of the central questions analyzed in this relationship is the returns to education. Collecting data from 253 individuals, you estimate the following relationship:  ln⁡(earning)= 0.14 + 0.093 Educ + 0.032 Exper - 0.0005 Exper^2   - 0.158 Female + 0.173 Married - 0.218 (Female ×Married), In percentage terms: Compared to single male, how much less do married female make? __% (keep one decimal point)

C. Describe the four characteristics of association

A scientist wants to develop a model to describe the relationship between the average daily temperature, x °C, and her household’s daily energy consumption, y kWh, in winter. A random sample of the average daily temperature and her household’s daily energy consumption are taken from 10 winter days and shown in the table. x -0.4 -0.2 0.3 0.8 1.1 1.4 1.8 2.1 2.5 2.6 y 28 30 26 25 26 27 26 24 22 21   You may use:   Sy=255     Sxy=283.8     Syy= 64.5 Find a value for the product moment correlation coefficient r for this data   Explain what the value of the product moment corelation tells you about the relationship between daily temperature and the household energy consumption.

A study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below.   Vacation Days 5 15 13 3 9 0 3 7 7 14 4 Sick Days 5 5 1 5 4 9 9 6 5 3 9 Use the model to predict the number of sick days taken for an employee who took 3 vacation days this year.Sick Days = ? (Please round your answer to the nearest whole number.)   Interpret the slope of the regression line in the context of the question:   As x goes up, y goes down. The slope has no practical meaning since a negative number cannot occur with vacation days and sick days. For every additional vacation day taken, employees tend to take on average 0.40 fewer sick days. Interpret the y-intercept in the context of the question: The y-intercept has no practical meaning for this study. If an employee takes no vacation days, then that employee will take 8 sick days. The average number of sick days is…