Question

3. Consider this scatter plot.

Test Scores in Relation to Homework

Hours of Homework
(a) Is the relationship linear or not linear? Justify your response.
(b) Is the relationship increasing or decreasing? Find the slope and use it to help justify your answer.
(c) Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework? Hint: It’s _not_ asking you to use the graph.
(d) Describe what the number 30 in Part (c) mean in the context of the situation? Hint: Think about what kind of function equation you have in Part B.
Answer:
Part A)

Part B)


Part C)

Part D

Answer 1

Linear ;

Increasing ;

51 ;

Kindly check explanation

Explanation:

The relationship between homework a d test scores is linear, this can be deduced based on the straight trend line which could be drawn through the points on the scatter plot.

The relationship is increasing, the linear trend is positive ; also from the function derived for the plot, the slope Coefficient is positive.

C.)

Given the plot function :

y = 7x + 30

The score for 3 hours of homework :

x = 3

y = 7(3) + 30

y = 21 + 30

y = 51

Test score = 51

D.) 30 represents the intercept vamie of the graph, the value of y when x = 0 ;

With respect to the context, it means the test score for a student with 0 hours of homework (student with no homework hours at all). Will be 30.