Answered

IDNLearn.com provides a collaborative platform for sharing and gaining knowledge. Join our community to receive prompt and reliable responses to your questions from experienced professionals.

The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week.

Sagot :

MrRoyalidn

Answer:

[tex](a)\ y = -0.75x + 26[/tex]

[tex](b)\ y = 14.75[/tex]

Step-by-step explanation:

Given

See attachment for scatter plot

Required

Equation of the line of best fit

Pick any two points on the line

[tex](x_1,y_1) = (24,8)[/tex]

[tex](x_2,y_2) = (8,20)[/tex]

Calculate the slope (m)

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

[tex]m =\frac{20-8}{8-24}[/tex]

[tex]m =\frac{12}{-16}[/tex]

[tex]m =-0.75[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = -0.75(x - 24) + 8[/tex]

[tex]y = -0.75x + 18 + 8[/tex]

[tex]y = -0.75x + 26[/tex]

Solving (b): y, when [tex]x = 15[/tex]

[tex]y = -0.75x + 26[/tex] becomes

[tex]y = -0.75*15 + 26[/tex]

[tex]y = -11.25 + 26[/tex]

[tex]y = 14.75[/tex]

View image MrRoyal
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.