Question

Use the regression line for the data in the scatter plot to answer the question. On average, how many more goals will a player score for every additional hour of practice?
A. )1/2 of a goal
B. )3/4of a goal
C.) 1 goal
D.) 4/3 goals

Answer 1

Answer:

Step-by-step explanation:

Given is a scatter plot and the regression line using least squares.

We are required to find out how many more goals a player will score for every additional hour of practice.

In other words, we are to find the slope of the regression line.

By taking two points on the line we can find slope of the line.

(1.5,2) and (6.5,6) are points on the line

Find slope using two point formula

Slope = $\frac{y2-y1}{x2-x1} =\frac{6-2}{6.5-1.5} \\=\frac{4}{5}$

near slope is 3/4

Hence answer is option b.

Answer 2

On average, the goals a player scores for every additional hour of practice will be 3/4.

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

We need to find out how many more goals a player will score for every additional hour of practice.

In other words, we have to find the slope of the regression line.

By taking two points on the line we can find the slope of the line.

Lets (1.5,2) and (6.5,6) are points on the line

So, the slope will be

Slope = y-y₁ / (x-x₁)

          = 6- 2 / 6.5 - 1.5

          = 4/5

Thus, the near slope is 3/4. Option B is correct.

Learn more about slope;

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