Question

the equation for the line of best fit is $y = -2x + 135$.
which statements are supported by this equation? select all that apply.

• on average, 26-year-old men could be expected to send about 190 texts per week.
• each additional year of age is associated with sending about 2 fewer texts per week.
• on average, 35-year-old men send roughly 20 more texts per week than 25-year-old men.
• typical 60-year-old men could be expected to send about 15 texts per week.

Explanation:

Step1: Analyze the first statement

Substitute \(x=26\) into \(y=-2x+135\): \(y=-2(26)+135=83
eq190\). So it's false.

Step2: Analyze the second statement

The slope is \(-2\), meaning each extra year (\(x\) increases by 1) leads to \(y\) decreasing by 2. True.

Step3: Analyze the third statement

Calculate \(y\) for \(x=35\): \(y=-2(35)+135=65\); for \(x=25\): \(y=-2(25)+135=85\). \(65-85=-20\), so 35-year-olds send 20 fewer texts. False.

Step4: Analyze the fourth statement

Substitute \(x=60\) into \(y=-2x+135\): \(y=-2(60)+135=15\). True.

Answer:

Each additional year of age is associated with sending about 2 fewer texts per week.
Typical 60-year-old men could be expected to send about 15 texts per week.