Question

for questions 14 & 15, use the information and table.
the table shows the average number of sleep a student gets and their math test score.
hours of sleep 9 5 6 6 8 9 10 7 6 8
math test score 93 70 77 81 88 91 76 78 68 100

1. (a.4c) using linear regression, find the line of best fit. (round to the nearest hundredth).
2. (a.4c) what would be a prediction of the test score of a student that gets 4 hours of sleep? (round to the nearest whole number)

directions: answer each of the following questions.

1. a student used a checking account to pay for living expenses during the first two years of college. the table shows the amount the student had in the account after different numbers of months had passed.

checking account balance
number of months remaining balance (dollars)
2 7,592
8 5,931
12 5,683
17 4,428
23 2,854
based on the correlation coefficient for the data, what type of linear association exists between the number of months that has passed and the balance remaining in the account?
a. strong positive c. strong negative
b. weak positive d. weak negative

1. which graph best represents the solution set of 3y - 2x ≤ -6?

Explanation:

Step1: Analyze the trend

As the number of months increases, the remaining balance in the checking account decreases. This indicates a negative association.

Step2: Consider the rate of decrease

Looking at the values: from 2 months (\(7592\)) to 8 months (\(5931\)) (a decrease of \(7592 - 5931=1661\) over \(8 - 2 = 6\) months), from 8 months to 12 months (\(5931-5683 = 248\) over \(12 - 8=4\) months), from 12 months to 17 months (\(5683 - 4428=1255\) over \(17 - 12 = 5\) months), from 17 months to 23 months (\(4428-2854 = 1574\) over \(23 - 17=6\) months). The decrease is relatively consistent and significant.

Answer:

C. Strong negative