[填空题]
A group of eight und+l3t;)knu b+ wi k6ougeglx4twbd35 z ,rgraduate engineering students were surveyed to determine their satisfalg d w43t,xz5bction with their semester 1 mathematics course. The following table shows their responses using a seven-point scale, and their final grades for this course.
1.On the axes below, draw a scatter diagram for this data. Use a scale of 1 unit to represent ratings on the x-axis and 1 unit to represent 5 grade percent on the y-axis.
2. 1. Calculate the Pearson's product-moment correlation coefficient for this data, r .≈
2. Describe the correlation between students' mathematics course grades and survey results.
3. Calculate
1. the mean rating, $\bar{x}$ ;≈
2. the mean grade, $\bar{y}$ .≈
4. Plot the point $\mathrm{M}(\bar{x}, \bar{y})$ on your scatter diagram.
5. Find the line of regression equation, y on x .y =ax+b a = b =
6. Draw the regression line from part $(e)$ on your scatter diagram.
7. Use the line of the regression to estimate the final grade for the student who gave a 7 rating for the course.≈ %
8. State whether your estimate is reliable and justify your answer.
