A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 135 + 6x. This implies that if the height is increased by 1 inch, the weight is expected to increase by
an average of 6 pounds.

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

Where:

With these we can find the sums:

And the slope would be:

The means for x and y are given by:

And we can find the intercept using this:

For this case we know that the line adjusted is:

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm