A random sample of students at Spectrum University was asked to estimate the average number of minutes they spent on social media per day and their grade point
average (GPA). The data are shown in the table.
Minutes Spent on Social Media 35 58 61 64 72 75 79 101 115
Grade Point Average
3.9 3.6 3.55 3.5 3.2 3.5 3 2.8 2.5
A researcher wants to determine whether there is a relationship between the
number of minutes spent on social media each day and GPA. What are the
appropriate testing hypotheses?

its the fourth option

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

step-by-step explanation:

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