Question

Use a graphing calculator to find an equation of the line of best fit for the data. Round the slope to the nearest tenth and the y-intercept to the nearest integer.

Data:
x: -15, -10, -5, 0, 5, 10, 15, 20
y: -4, 2, 7, 16, 22, 43, 30, 37

Options:

y = 2.6x - 3
y = 3.2x - 3
y = 3.1x - 4
y = 2.8x - 3
Identify the correlation coefficient. Round to the nearest thousandth.

0.816
0.932
0.723
0.674
Interpret the correlation coefficient.

The correlation is negative.
The correlation is weak.
The correlation is positive.
x and y have a strong correlation.

Answer 1

To find the equation of the line of best fit for the given data, we can use a graphing calculator. The equation of the line of best fit is y = 2.8x - 3.

Step-by-step explanation:

To find the equation of the line of best fit for the given data, we can use a graphing calculator. After entering the data in the calculator, we use the LinReg function to calculate the regression equation. The slope and y-intercept of the line of best fit can then be rounded to the nearest tenth and nearest integer.

Using the given data: x: -15, -10, -5, 0, 5, 10, 15, 20 and y: -4, 2, 7, 16, 22, 43, 30, 37

The equation of the line of best fit is y = 2.8x - 3. The slope is rounded to the nearest tenth (2.8) and the y-intercept is rounded to the nearest integer (-3).