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The intercept \( a_0 \) for the linear regression equation, rounded to two decimal places, is 14.50.

Would you like more details on how the regression was performed or have any other questions?

Here are 5 related questions to expand on this topic:
1. What is the formula of the full linear regression equation based on this data?
2. How do we interpret the slope of the regression line?
3. Can you explain the concept of independent and dependent variables in this context?
4. How can we use this regression equation to predict GPA for a given study time?
5. How is the accuracy of a linear regression model assessed?

**Tip:** In a linear regression equation, \( y = a_1x + a_0 \), \( a_1 \) represents the slope of the line, showing how much \( y \) changes with a unit increase in \( x \).

You are given the following values of invested study time and grade-point-average (GPA) for 5 students: 29h -> 36, 19h -> 28, 24h -> 34, 26h -> 30, 27h -> 35. First think about what is the independent variable and what is the dependent variable. Then describe this data set using a linear regression equation. As an answer, please provide only a0 rounded to 2dp.

Solve a linear regression problem involving study time and GPA for five students. Learn how to identify independent and dependent variables and calculate the intercept a0. Suitable for Grades 10-12.

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