[填空题]
The following table shlj,: x:z(nb- e+atuvhows the number oluz;lu *vs9x3 f chin-ups and the number of push-ups performed by seven college athlu3z9 l*xvu; sletes.
Draw a scatter diagram for the above data on the axes below. Use a scale of 1 unit to represent 2 chin-ups on the x-axis and 1 unit to represent 10 push-ups on the y-axis.
2. 1. Find the Pearson's product-moment correlation coefficient, r , for the above data. ≈
2. Describe the correlation between the number of chin-ups and the number of push-ups.
3. Find the
1. mean number of chin-ups, $\bar{x}$ ;≈
2. mean number of push-ups, $\bar{y}$ .≈
4. Plot and label the point $\mathrm{M}(\bar{x}, \bar{y}) $ on your scatter diagram from part $(a)$.
5. Find the line of regression equation y on x .y =ax+b a = b =
6. Use your equation from part (e) to estimate the number of push-ups of a college athlete who performed 14 chin-ups.≈
7. Draw the regression line y on x on your scatter diagram from part $(a)$.
A new college athlete performs 30 chin-ups and uses the above data to estimate that he will perform 96 push-ups.
8. State whether this estimate is reliable and give a reason for your answer.
