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?

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

Step-by-step 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.

Comparing to general form of equation:

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:

Interpretation:

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

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step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)