Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (The pair of variables have a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given​ x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below.
font size decreased by 1 font size increased by 1 Hours spent studying comma x
0
1
3
3
4
6
 
​(a) xequals2 hours
​(b) xequals2.5 hours
Test​ score, y
40
45
51
48
65
69
​(c) xequals15 hours
​(d) xequals4.5 hours


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Here are some related questions that might interest you:
1. How do we calculate the correlation coefficient between two variables?
2. What is the significance of the slope in a regression line?
3. How can we use the p-value to assess the strength of a correlation?
4. What is the standard error in regression analysis?
5. How does the number of data points affect the accuracy of a regression line?

**Tip:** When using linear regression, always check if the correlation between variables is strong enough to make meaningful predictions.

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. The number of hours 6 students spent for a test and their scores on that test are shown below. (a) x = 2 hours (b) x = 2.5 hours (c) x = 15 hours (d) x = 4.5 hours.

Learn how to find the equation of the regression line for a dataset involving study hours and test scores. This guide explains how to construct a scatter plot, calculate the regression line using the least squares method, and make predictions for given x-values (hours studied). Suitable for Grades 10-12.

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