The data below are ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Find the equation of the regression line for the given data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | }
\text { Age, } \mathrm { x } & 38 & 41 & 45 & 48 & 51 & 53 & 57 & 61 & 65 \
\hline \text { Pressure, } \mathrm { y } & 116 & 120 & 123 & 131 & 142 & 145 & 148 & 150 & 152
\end{array}$$
A) $\hat { y }$ = 1.488x + 60.461
B) $\hat { y }$ = 60.461x - 1.488
C) $\hat { y }$ = 1.448x - 60.461
D) $\hat { \mathrm { y } }$ = 60.461x + 1.488

Question

The data below are ages and systolic blood pressures (measured in millimeters of mercury)of 9 randomly selected adults. Find the equation of the regression line for the given data. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | } 
\text { Age, } \mathrm { x } & 38 & 41 & 45 & 48 & 51 & 53 & 57 & 61 & 65 \
\hline \text { Pressure, } \mathrm { y } & 116 & 120 & 123 & 131 & 142 & 145 & 148 & 150 & 152
\end{array}$$
A) $\hat { y }$ = 1.488x + 60.461
B) $\hat { y }$ = 60.461x - 1.488
C) $\hat { y }$ = 1.448x - 60.461
D) $\hat { \mathrm { y } }$ = 60.461x + 1.488

Quizplus · Accepted Answer

The correct equation of the regression line is determined by calculating the slope (m) and y-intercept (b) using the given data points for age (x) and pressure (y). The formula for the regression line is $\hat{y} = mx + b$, where m is the slope and b is the y-intercept. The calculation involves finding the mean of x and y, the product of x and y, and the square of x, then using these to calculate m and b. The correct calculation results in $\hat{y} = 1.488x + 60.461$, making option A the correct choice.

The Data Below Are Ages and Systolic Blood Pressures (Measured