Math Problem Statement

Incorrect. Use technology or the formula below to find the slope.

b 1 equals r StartFraction s Subscript y Over s Subscript x EndFraction

Solution

It looks like you're referencing the formula for the slope b1b_1 in the context of linear regression:

b1=rsysxb_1 = r \cdot \frac{s_y}{s_x}

Where:

  • b1b_1 is the slope of the regression line.
  • rr is the correlation coefficient.
  • sys_y is the standard deviation of the yy-values.
  • sxs_x is the standard deviation of the xx-values.

To find the slope b1b_1, you'll need the following information:

  1. The correlation coefficient rr.
  2. The standard deviation of yy (sys_y).
  3. The standard deviation of xx (sxs_x).

If you already have these values, simply plug them into the formula.

Would you like to provide the values for rr, sys_y, and sxs_x to calculate the slope? Or do you need help with how to calculate them?

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Statistics
Correlation

Formulas

b_1 = r * (s_y / s_x)

Theorems

Linear Regression Slope Formula

Suitable Grade Level

Grades 10-12