Question

for men age 18-24 in the HANES5 sample, the regression equation forpredicting height from weight ispredicted height=(0.0267 inches per pound) * (weight)+65.2inches(height is measured in inches and weight in pounds.) if someoneputs on 20 pounds, will he get taller by20 pounds* 0.0267 inches per pound ˜ 0.5 inches?

Answer 1

When someone puts on 20 pounds then, the rate of change of height or the height increases by 0.534 inches.

Explanation:

We are given the following equation:

Predicted height = (0.0267 inches per pound)(weight) + 65.2

Let y b the predicted height in inches and x be the weight in pounds.

`y =65.2 + 0.0267x`

Comparing to general form of equation:

`y = mx +c`

where m is the slope and c is the y-intercept.

m = 0.0267

Interpretation of slope:

Th slope tells us about the rate of change that is when the weight increases by 1 unit that is 1 pound then, the height increases by 0.0267 inches.

When someone puts on 20 pounds:

`y(x+20)-y(x) =65.2 + 0.0267(x+20) - 65.2 - 0.0267x\\y(x+20)-y(x) = 0.534`

Interpretation:

Thus, when someone puts on 20 pounds then, the rate of change of height or the height increases by 0.534 inches.