Crawling Researchers at the University of Denver Infant Study Center $\hat{\text{AvAge}}$

question 133

Essay

Crawling Researchers at the University of Denver Infant Study Center investigated whether babies take longer to learn to crawl in cold months (when they are often bundled in clothes that restrict their movement) than in warmer months. The study sought an association between babies' first crawling age (in weeks) and the average temperature during the month they first try to crawl (about 6 months after birth). Between 1988 and
1991 parents reported the birth month and age at which their child was first able to creep
or crawl a distance of four feet in one minute. Data were collected on 208 boys and 206 girls. The graph below plots average crawling ages (in weeks) against the mean temperatures when the babies were 6 months old. The researchers found a correlation of r
= -0.70 and the their line of best fit was

$\hat{\text{AvAge}}$ = 36 - 0.08AvTemp.


a. Draw the line of best fit on the graph. (Show your method clearly.)
b. Describe the association in context.
c. Explain (in context) what the slope of the line means.
d. Explain (in context) what the y-intercept of the line means. e. Explain (in context) what $R^{2}$ means.
f. In this context, what does a negative residual indicate?

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Definitions:

Adjusting Entry

An accounting entry made in the books at the end of an accounting period to allocate income and expenditure to the correct period.

Accrued Revenue

Revenue that has been earned through sales or services provided but not yet received by the company.

Adjusting Entry

A journal entry made at the end of an accounting period to record unrecorded income or expenses to ensure that the financial statements comply with the accrual basis of accounting.

Straight-Line Depreciation

A method of allocating the cost of an asset evenly over its useful life.