Math Problem Statement

A statistics professor would like to build a model relating student scores on the first test to the scores on the second test. The test scores from a random sample of 21 students who have previously taken the course are given in the table.

Test Scores Student First Test Grade Second Test Grade 1 67 70 2 97 81 3 42 61 4 69 72 5 56 63 6 66 72 7 99 90 8 79 73 9 88 78 10 63 67 11 61 65 12 83 77 13 89 85 14 43 57 15 85 76 16 40 64 17 47 66 18 93 79 19 93 80 20 56 67 21 50 67 Step 1 of 2 : Using statistical software, estimate the parameters of the model

Second Test Grade=β0+β1(First Test Grade)+εi .

Enter a negative estimate as a negative number in the regression model. Round your answers to 4 decimal places, if necessary.

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Statistics
Model Estimation
Dependent and Independent Variables

Formulas

Second Test Grade = β0 + β1(First Test Grade) + εi

Theorems

Least Squares Estimation
Regression Analysis

Suitable Grade Level

Grades 11-12