In: Statistics and Probability
Dietary guidelines recommend that most people should eat at least seven servings of fruits and vegetables each day. Yet, research suggests that few Americans do. Researchers suspect that lack of education may be partly to blame. To investigate, you survey 100 people and ask them about their education level and fruit and vegetable intake. Respondents report having 12.5 years of education and eating 4.5 servings of fruits and vegetables a day, on average. The standard deviations for education and fruit and vegetable consumption are 1.5 years and 2 servings, respectively. The correlation (r) between education and fruit and vegetable consumption is .18.
a) Calculate and interpret the slope.
b) Calculate and interpret the intercept.
c) Calculate and interpret the coefficient of determination.
d) Estimate the equation of the regression line that best describes the relationship between education and fruit and vegetable consumption.
e) Calculate the daily fruit and vegetable consumption for someone who has 16 years of education.