Statistics Solutions

(Steps Shown) A research team is studying cognitive decline in old age. They collect data on 300 people between the ages of 75 and 95 years. One of the key

Question: A research team is studying cognitive decline in old age. They collect data on 300 people between the ages of 75 and 95 years. One of the key variables is a measure of one particular aspect of cognitive functioning: Executive function (named EXFUNC in the dataset). For this study it is measured using a test that produces values ranging from 0 to 100, with higher values representing better executive function. The investigators fit a linear regression model to their data and obtain the following estimated model:

EXFUNC i = 161.73 – 1.05 AGE i + e i

According to this model, by how many points does the typical score on the executive function scale decline between age 80 and 90?

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