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.

What was the mean IQ for these 500 volunteers?(Round to two decimal places as needed.)

What is the Correlation Coefficient for IQ and Pre-Test Score (round to three decimal places)? Blank 1

What is the correlation coefficient forIQ vs income(round to three decimal places)? Blank 1

Find the equation for the regression line between IQ and income.

State the slope (round to two decimal points). Blank 1

State the y-intercept (round to two decimal points). Blank 2

The university wants to know ifAnnual IncomeandLifetime Savingsare linearly related. Investigate and state your answer with evidence. Does your answer seem logical or not? Note your thoughts on this.

https://www.statcrunch.com/app/?dataurl=http://www.statcrunch.com/books/CQL/dataset/IQ.txt&dlim=tab&ft=true