Question

A regression was run to determine whether there is a relationship between hours of TV watched per day (x) and number of sit-ups a person can do (y). The results of the regression are given below. Use this to predict the number of sit-ups a person who watches 11 hours of TV can do.y=ax+ba=-1.341b=32.234r=-0.896Using the information above, we can conclude that a person who watches 11 hours of TV can do Answer sit-ups. Type your answer rounded to the nearest hundredth.The r value indicates a Answer

Answer 1

16.483 sit-ups

The r-value indicates a strong negative correlation

Step-by-step explanation:

The equation y = ax + b relates the number of hours of TV watched per day and the number of sit-ups a person can do. Replacing a = -1.341 and b = 32.234, we can rewrite the equation as:

y = -1.341x + 32.234

Replacing x by 11, we can predict the number of sit-ups that a person who watches 11 hours can do, so:

y = -1.341(11) + 32.234

y = -14.751 + 32.234

y = 17.483

Therefore, a person who watches 11 hours of TV can do 17.483 sit-ups.

On the other hand, the value of r shows the correlation between the variables. This value is a number between -1 and 1.

When it is closer to 0, we can say that there is a weak correlation.

When it is closer to 1, the correlation is positive and strong

When it is closer to -1, the correlation is negative and strong

Since r = -0.896, we can say that there is a strong negative correlation.

So, the answers are:

16.483 sit-ups

The r-value indicates a strong negative correlation