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A personal trainer wants to look at the relationship between number of hours of exercise per week and

resting heart rate of her clients. The data show a linear pattern with the summary statistics shown below:

mean

standard deviation

2= hours of exercise per week

= 8.9

s = 4.8

y = resting heart rate (beats per minute)

y = 74.3

8 = 7.2

r=-0.88

Find the equation of the least-squares regression line for predicting resting heart rate from the hours of

exercise per week.

Round your entries to the nearest hundredth.

y =

Sagot :

fichoh

Question isnt well formatted, a clearer version has been attached below :

Answer:

y = - 1.32x + 86.048

Step-by-step explanation:

The general form of a least square regression equation is :

y = bx + c

y = Predicted variable = heart rate

x = predictor variable = hours of exercise per week

b = slope

c = intercept

To obtain b ;

Slope, b = (Sy/Sx) * r

Sy = 7.2 ; Sx = 4.8 ; r = - 0.88

(7.2 / 4.8) * - 0.88

1.5 * - 0.88

= - 1.32

To obtain c ;

y = 74.3 ; x = 8.9

Substitute, y, x and b into the regression equation.

y = bx + c

c = y - bx

c = 74.3 - (-1.32 * 8.9)

c = 74.3 - (-11.748)

c = 74.3 + 11.748

c = 86.048

Equation becomes :

y = - 1.32x + 86.048

View image fichoh

Answer: it’s backwards, in khan it would be 86.05-1.32

Step-by-step explanation:

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