The slope of this line is the coefficient of x: 1. The slope of the perpendicular line will be the opposite reciprocal of this: -1/1 = -1. The y-intercept of the perpendicular line can be found from ...

b = y -mx = 8 -(-1)(-3) = 5

The perpendicular line has equation ...

y = -x +5

8 0

3 years ago

(a) A tram moved upward 3 meters per second for 18 seconds. What was the total change in the

Goshia [24]

Answer:

Step-by-step explanation:

3 times 18 = 54

5 0

3 years ago

A bivariate data set has x = 21, sx = 13, y = 55, sy = 27, and r = .88. What is the equation for the regression line of y on x?

earnstyle [38]

Answer:

c) $y=16.57+1.83x$

Step-by-step explanation:

Equation for regression line of y on x is given as

$\hat{y}=mx+b --- (1)$

where

$\hat{y}$ = predicted value

m = slope of line

b = intercept

m and b are found as

$m=r\frac{S_{y}}{S_{x}}---(2)\\\\b=\bar{y}-m\bar{x}---(3)$

r = correlation coefficient = 0.88

Sx = standard deviation for independent variable x = 13

Sy = standard deviation for dependent variable y = 27

$\bar{x}$ = mean value of independent variable x = 21

$\bar{x}$ = mean value of dependent variable y = 55

Substituting these values in (2) and (3)

$m=r\frac{S_{y}}{S_{x}}\\\\m=(0.88)\frac{27}{13}\\\\m=1.83$

$b=\bar{y}-m\bar{x}\\\\b=55-(1.827)(21)\\\\b=16.57$

Putting these values of m and b in (1)

$y=1.83x+16.57$

5 0

3 years ago