A prestigious research university has just been awarded a grant by a? private, anonymous donor to explore the potential relationship between an? individual's natural? intelligence, as measured by their intelligence quotient? (IQ), and that? individual's annual income.? Researchers, and the? donor, are interested in continuing to explore whether nature or nurture plays a more important factor in a? person's financial success. The research team is very interested in the relationship between a? person's IQ and that? person's annual income and views this project as the first of many research efforts to address this research question. The? university's research department recently collected data for analysis in order to support the? university's upcoming discussion with the donor regarding the relationship between an? individual's natural intelligence and? one's annual income. IQ tests were administered to a random sample of 500 volunteers and IQ scores were calculated by the research team. The research team also surveyed the 500 volunteers and obtained their annual income information. The Volunteer? Number, Gender,? IQ, Annual? Income, Pre-Test? Score, Lifetime? Savings, and Gifted data were collected for these 500 volunteers

Simple linear regression results: Dependent Variable: Annual Income Independent Variable: IQ Annual Income = -1727.6519 + 1117.8222 IQ Sample size: 500 R (correlation coefficient) = 0.87608311 R-sq = 0.76752161 Estimate of error standard deviation: 6134.1569 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -1727.6519 2932.3034 #0 498 -0.58917911 0.556 Slope 1117.8222 27.567922 #0 498 40.547929