Question

3. A researcher studied the eyesight of people at different ages. She calculated a vision score for each person in the study and plotted the data on the graph below. The researcher used the line y = -0.1 x +110 to model the data.

A)When the researcher substituted the value of x = 65 into this equation, what is the resulting y value (vision score)?




B)Based on the coordinates of the given data points, what is the actual actual vision score when x=65?




C)When the researcher substituted x = 65 into the line of equation, is the resulting y value the predicted value or the exit value for the vision score of a 65-year-old? Use your results for parts a and b to answer this question.

Answer 1

A)Predicted value = 103.5

B)Actual value = 102

C)So, these are not same

Explanation:

The researcher used the line
`y = -0.1 x +110` to model the data.

A)When the researcher substituted the value of x = 65 into this equation, what is the resulting y value?

Substitute value x=65 in equation :

y = -0.1 x +110

y=-0.1(65)+110

y=103.5

Predicted value = 103.5

B)Based on the coordinates of the given data points, what is the actual actual vision score when x=65?

Use the given graph

When x = 65

y = 102

So, The actual actual vision score when x=65 is 102

C)When the researcher substituted x = 65 into the line of equation, is the resulting y value the predicted value or the exit value for the vision score of a 65-year-old? Use your results for parts a and b to answer this question.

Predicted value = 103.5

Actual value = 102

So, these are not same