Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5. make a residual plot for the linear model and the data set it repres…

Question

  1. make a residual plot for the linear model and the data set it represents. how well does the model fit its data set?

$y = 0.14x + 12.8$

  1. describe the type of correlation indicated by each correlation coefficient.

a. $r=-0.89$ b. $r = 0.94$

  1. the trip from toronto to the badminton provincial finals in ottawa costs $1,940 for the bus and $75 per person for meals and accommodation. the cost, c dollars, is modeled by the equation $c = 1940 + 75n$, where n represents the number of players.

a. complete the table of values.
b. graph the relation.
c. how many players attended the finals if the total cost was $3,700?
d. how much would it cost if 50 players attended the finals? explain if this

Explanation:

Step1: Substitute \(n = 0\) into \(C = 1940+75n\)

When \(n = 0\), \(C=1940 + 75\times0=1940\)

Step2: Substitute \(n = 10\) into \(C = 1940+75n\)

When \(n = 10\), \(C=1940 + 75\times10=1940 + 750=2690\)

Step3: Substitute \(n = 20\) into \(C = 1940+75n\)

When \(n = 20\), \(C=1940+75\times20=1940 + 1500=3440\)

Step4: Substitute \(n = 30\) into \(C = 1940+75n\)

When \(n = 30\), \(C=1940+75\times30=1940+2250 = 4190\)

Step5: Substitute \(n = 40\) into \(C = 1940+75n\)

When \(n = 40\), \(C=1940+75\times40=1940+3000=4940\)

Answer:

\(n\)\(C(\$)\)
\(10\)\(2690\)
\(20\)\(3440\)
\(30\)\(4190\)
\(40\)\(4940\)