Question

The table below shows the relationship between the approximate number of hours and the corresponding number of days on Saturn.

Saturn
Hours
Days
266 and two-thirds
25
373 and one-third
35
426 and two-thirds
40
586 and two-thirds
55

What is the approximate number of hours in 72 days on Saturn?
603 and two-thirds
658 and two-thirds
743
768

Answer 1

Considering a line of best-fit, the approximate number of hours in 72 days on Saturn is given by 768.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points are:

(266.67, 25), (373.3, 35), (426.67, 40), (586.67, 55).

Using a calculator, the equation is:

y = 0.09375x + 0.00003455.

For 72 days, we have that y = 72, hence the number of hours is x.

y = 0.09375x + 0.00003455.

72 = 0.09375x + 0.00003455.

x = (72 - 0.00003455)/0.09375

x = 768 hours.

More can be learned about a line of best-fit at https://brainly.com/question/22992800

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