Male birds with the largest repertoire of songs are the first to acquire mates in the spring. The table shows the number of different songs sung by several sedge warblers, and the days on which they acquired their mates, where Day 1 is April 20.

Number of songs, x

41383432302524242314 Pairing day, y

20242521242731354042

a. Plot the points. The least-squares regression line is y=0.85x+53. Graph this line on the same grid with the data.

Clear All Draw:

b. Use extrapolation to estimate when a sedge warbler that knows 10 songs can expect to find a mate. Hint: Round up to the nearest day.

The sedge warbler will find a mate on the th day.

c.

What are the intercepts of the regression line (answer as ordered pairs)?

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