There is a large body of research indicating that drinking tea is associated with a variety of health benefits including preventing cardiovascular disease and increasing longevity. A group of researchers decided to examine whether tea consumption also impacts cognitive function. They hypothesized that total tea consumption would be associated with stronger performance across multiple cognitive domains. The following questions relate to their research.

1.What was their null and alternative hypothesis?

2.What was their model equation?

3.The researchers ran a simple linear regression. Using the output below, please report the fitted equation, and then use that equation to estimate cognitive functioning scores if one of their participants drank 7 cups of tea per day. (Please show your calculations!)

Coefficients Standardized Unstandardized Coefficients Coefficients Model B Std. Error Beta Sig. 1 (Constant) 49.218 .764 64.382 000 Number of Cups of Tea .460 .221 .078 2.081 038 Drunk Per Day a. Dependent Variable: Cognitive Function Score (Max = 80)