IB MAI HL Statistics & Probability Topic 4.2 Bivariate Statistics (id: fe20748b7

本题目来源于试卷: IB MAI HL Statistics & Probability Topic 4.2 Bivariate Statistics，类别为 IB数学

[填空题]
A group of eight unde*fv1 iiwdsi o1+tg8m 2rgradua.zjoy t: q44rlzm w/5ite engineering students were surveyed to determine their satisfaction with their semester 1 mathematics course. The following table shows thei4o : z.l tz4w5ijm/qryr 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, $\overline{x}$ ;≈   
2. the mean grade, $\overline{y}$ .≈   
4. Plot the point $\mathrm{M}(\overline{x},\overline{y})$ 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.

参考答案:
空格1: 0.989±2%  空格2: 3.88±2%  空格3: 84.3±2%  空格4: 5.33  空格5: 63.6  空格6: 101±2% 


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