Distance and ticket price AP Statistics Classwork Distance Chapter 8 400 350 300

Question

Distance and ticket price AP Statistics Classwork Distance Chapter 8 400 350 300 t 250 r 200 150 200 600 100 1400 1800 Okla 1. Find r2. 2. Explain what r2 means in this context. Salt Lake Summary Sta Mean! 853.7 244 0.694 Using those estimates, draw the line on the scatterplot. Explain what the y-intercept means in this context. 3. Find the slope of the regression line. 8. 9. Find the y-intercept of the regression line. 10. Explain what the slope means in this 4. context 5. Write the equation of the linear model.11. The fare to fly to Los Angeles, 1719 miles from Atlanta, is $212. Find the residual. 12. In general, a positive residual means... 6. Estimate the fare for a 200-mile flight. 13. In general, a negative residual means... 7. Estimate the fare for a 2000-mile flight. 8-5

Explanation / Answer

a)

r^2 = 0.694^2 = 0.482

b)

this means 48.2 % of variation in fare can be explained by distance.

c)

slope = r * sd(y) /sd(x) = 0.694 * 56.37/497.8
= 0.0786

d)

y-intercept = Ybar - slope * xbar = 177.2145

e)

y^ = 177.2145 + 0.0786 * fare

f)

when x = 200

y^ = 177.2145 + 0.0786 * 200 = 192.9345

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