[填空题]
The table shows the length, inlzi/ .kuv ykm/i sz3gj:+/cs/ kd+p1 a8nrq*9)d xeu,k: oejpvm, of an Uber ride in New York City and the corresponding price, in USD, of thvaqede8u1*kp pxd) n9ojr :,+e ride.
1. Draw a scatter diagram for the above data on the axes below. Use a scale of 1 unit to represent 2 \mathrm{~km} on the x -axis and 1 unit to represent 5 USD on the u -axis
2. Use your graphic display calculator to find
1. $\bar{x}$ , the mean of the lengths; ≈ km
2. $\bar{y}$ , the mean of the prices. ≈ USD
3. Plot and label the point $\mathrm{M}(\bar{x}, \bar{y})$ on your scatter diagram.
4. Use your graphic display calculator to find
1. the product-moment correlation coefficient, r ;≈
2. the equation of the regression line y on x .y =ax+b a = b =
5 . Draw the regression line y on x on your scatter diagram.
John took a Uber ride of length 22.5 $\mathrm{~km}$ from John F. Kennedy International Airport (JFK) to Central Park.
6. Use the equation of the regression line to estimate the price of John's ride from JFK to Central Park. Give your answer correct to the nearest dollar.≈
7. Give a reason why it is valid to use your regression line to estimate the price of John's ride.
The actual cost of John's Uber rise was 40 USD.
8. Using your answer to part (f), calculate the percentage error in the estimated price of John's ride.ϵ = %
