Discuss how gender inequality in a relationship could contribute to Sexual Abuse, Teenage pregnancy, and STIs. What are the effects of being in a submissive relationship? Define power, masculinity, and femininity. Propose THREE strategies that could help eliminate gender inequality.

1. The least-squares regression equation is

$\hat{y} = b_0 + b_1 x_1 + b_2 x_2 + b_3 x_3$

where $b_0 = 3.47$, $b_1 = -0.0042$, $b_2 = 0.012$, $b_3 = 0.10$.

Substitute the values:

$\hat{y} = 3.47 + (-0.0042) x_1 + 0.012 x_2 + 0.10 x_3$

$\hat{y} = 3.47 - 0.0042 x_1 + 0.012 x_2 + 0.10 x_3$

\hat{y = 3.47 - 0.0042 x_1 + 0.012 x_2 + 0.10 x_3}

2. The p-value for $x_1$ is $0.002$.

Since $0.002 < 0.05$, the relationship between the response and $x_1$ is significant.

The t-value is $-3.07$, and $|t| = 3.07 > 2$ also indicates significance.

Yes, since P = 0.002 < 0.05

3. The slope for $x_1$ is $b_1 = -0.0042 < 0$.

Thus, when $x_1$ increases by $1$ unit (with $x_2$ and $x_3$ held constant), the mean response decreases by $0.0042$ units.

decreases by 0.0042 units per 1-unit increase in x_1

4. Substitute $x_1 = 50$, $x_2 = 3$, $x_3 = 0.5$ into the equation:

$\hat{y} = 3.47 - 0.0042(50) + 0.012(3) + 0.10(0.5)$

Compute $x_1$ term:

$-0.0042 \times 50 = -0.21$

Compute $x_2$ term:

$0.012 \times 3 = 0.036$

Compute $x_3$ term:

$0.10 \times 0.5 = 0.05$

Now add step-by-step:

$3.47 - 0.21 = 3.26$

$3.26 + 0.036 = 3.296$

$3.296 + 0.05 = 3.346$

Round to three decimal places (consistent with coefficient precision):

$\hat{y} = 3.346$

3.35