Question

The data in the chart shows the maximum and corresponding

Answer 1

Given a table represents the data between resting and the maximum

Resting will be the variable x

Maximum will be the variable y

So, we will check which equation will give the correct regression line

when x = 50, y = 169

A) 158x + 0.22 = 7900.22

Wrong option as 7900.22 is much higher than 169

B) y = 158

Wrong option, because it will give a horizontal line

C) y = 0.22x - 158

0.22 * 50 - 158 = -147

Wrong option as (-147) much smaller than 169

D) y = 0.22x + 158

0.22 * 50 + 158 = 169

Correct option, it gives the same result as the table

So, the answer will be option D) y = 0.22x + 158

Now, we will find the maximum heart rate when x = 41, 56, and 77

so, we will substitute with (x) into the equation y = 0.22x + 158

The answer will be rounded to the nearest integer

`\begin{gathered} x=41\rightarrow y=0.22\cdot41+158=167.02\approx167 \\ x=56\rightarrow y=0.22\cdot56+158=170.32\approx170 \\ x=77\rightarrow y=0.22\cdot77+158=174.94\approx175 \end{gathered}`

So, the answers will be:

When x = 41, y = 167

When x = 56, y = 170

When x = 77, y = 175