2. The following data represents the marks in Algebra (x) and Geometry (y) of a group of 10 students. Find both the regression equations and hence estimate y if x = 78 and x if y = 94. X y 77 75 80 93 65 87 71 98 68 89 82 78 86 72 91 80 72 89 74 95
Added by Lindsey R.
Step 1
Step 1: Organize the data First, let's organize the data into two columns, one for Algebra (x) and one for Geometry (y): ``` x: 77 80 65 71 68 82 86 91 72 74 y: 75 93 87 98 89 78 72 80 89 95 ``` Show more…
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The grades of a class of 9 students on a midterm report (x) and on the final examination (y) are as follows: (a) Find the equation of the linear regression model and draw the regression line. (b) Estimate the final examination grade of a student who received a grade of 85 on the midterm report. X: 77 50 71 72 81 94 96 99 67 Y: 82 66 78 34 74 85 99 99 68
Daniel H.
The grades of a class of 9 students on a midterm report $(x)$ and on the final examination $(y)$ are as follows: $$ \begin{array}{c|ccccccccc} x & 77 & 50 & 71 & 72 & 81 & 94 & 96 & 99 & 67 \\ \hline y & 82 & 66 & 78 & 34 & 47 & 85 & 99 & 99 & 68 \end{array} $$ (a) Estimate the linear regression line. (b) Estimate the final examination grade of a student who received a grade of 85 on the midterm report.
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The grades of a class of 9 students on a midterm report $(x)$ and on the final examination $(y)$ are as follows: $$ \begin{array}{c|ccccccccc} \mathbf{X} & 77 & 50 & 71 & 72 & 81 & 94 & 96 & 99 & 67 \\ \hline \boldsymbol{y} & 82 & 66 & 78 & 34 & 47 & 85 & 99 & 99 & 68 \end{array} $$ (a) Estimate the linear regression line. (b) Estimate the final examination grade of a student who received a grade of 85 on the midterm report.
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