1. Regression analysis was applied to the migration and return of sparrowhawk colonies. The relationship between the rate of return (% of birds that return to the colony in a year) and immigration rate ( y% of new adults bird that join the colongper year) was determined to be: y = 31.9 - 0.34 x. Using the above best fit line if the return rate of sparrow hawks was to be reduced by 10% in a year, the rate of immigration to the colony would a. increase by 34% b. decrease by 3.4% c. increase by 3.4% d. decrease by .30% 2. Social researchers are interested in the relationship between income and happiness. You survey 500 people whose incomes range from $15,000 to $75,000 and ask them to rank their happiness. Income (x) is in $10,000 units and happiness(y) is on the scale of 1 to 10. You generate the following statistics using the survey data and they are shown below. y = 0.7138(x) + 0.2043 Correlation coefficient = .8656 Coefficient of Determination = 0.7493 Standard Error of Estimate = 6.503 1. Is income a good indicator of happiness? Explain. (2 points) 2. Tell me three more things about the relationship between income and happiness, using the statistics noted above. (3 points) USE UNITS and explain fully using BOTH variables. If you do not do so you will not receive the points on this