Question

Find the linear regression line for the following table of values. You will need to use a calculator, spreadsheet, or statistical

software.
Enter your answer in the form y = mx + b, with m and b both rounded to two decimal places.
X
0
1
2
3
4
5
6
y
2.21
3.44
2.71
4.97
7.56
5.88
6.62

Answer 1

The linear regression line for the given data has been found using a slope of approximately 0.09 and a calculated y-intercept of about 35.25, resulting in the equation y = 0.09x + 35.25.

Step-by-step explanation:

To find the linear regression line for a given set of data, you'll need to calculate the slope (m) and the y-intercept (b) to structure the equation in the form of y = mx + b. After entering the data into a statistical software or calculator, you would typically calculate the slope as the change in y divided by the change in x (rise over run). However, based on the provided information, we are given that the slope is approximately 0.09.

To find the y-intercept, we can use the formula:
b = Sum of y values - m(Sum of x values).
Given that the sum of the median x values is 1264 and the sum of the median y values is 219.5, we can calculate b as follows:
b = 219.5 - 0.09(1264), which simplifies to b≈ 35.25. Hence, the equation of the line of best fit is y = 0.09x + 35.25.