What is the correlation coefficient of the linear fit of the data shown below, to the nearest hundredth?

Answer:

The correct choice is D.

Detailed explanation

Principal = $9250

interest rate = 7% or 0.07

duration = 5 years or 260 weeks

[ As there are 52 weeks in a year, for 5 years it calculates to 5x52=260 weeks]

Utilizing the formula

Total amount after t years =

where P = principal

r = decimal form of the rate %

n= frequency per year

t = duration (in years)

substituting the values into the formula

Total amount =

=

=

= 9250(1.418733588)

=$13123.29

Answer:

Part 1:

Create a scatterplot that visualizes this data. You can utilize a software program like Excel, or manually create the scatterplot and scan it.

Part 2:

Does this data display a positive, negative, or no correlation?

Part 3:

Without using technology, determine the equation for the line of best fit based on the data. Describe which points you used and outline the steps taken to generate the equation. Refer to the first 4 steps on page 2 of the lesson titled "Linear Regression - Line of Best Fit" for guidance.

Part 4:

Employ the equation found in part 3 to estimate the scores for two individuals who studied for 15 hours and 9 hours. Consult the final step on page 2 of the lesson titled "Linear Regression - Line of Best Fit" for reference.

Step-by-step explanation: help

Answer:

(a) The variables include y, representing total cost, and x, indicating the quantity of ride tickets.

(b) The linear equation is expressed as y = 1.25x + 12.50.

(c) The calculation of total cost (represented as y) is the sum of the expense on ride tickets plus the fair admission price. If someone purchases x ride tickets, priced at $1.25 each, their total expenditure on these tickets amounts to 1.25x. The fair admission fee is fixed at 12.50 dollars for all.

Step-by-step explanation:

Let y denote the total cost, while x denotes the number of ride tickets purchased.

The cost of a single ride ticket equals$ 1.25.

Jermaine's total cost for 25 ride tickets is calculated as 25 × $ 1.25 = 31.25$

Jermaine's total expenses at the fair amount to 43.75$.

Thus, the total monetary outlay at the fair = (price of fair admission + cost of 25 ride tickets)

Calculating the price of fair admission: Total fair expenses - cost of 25 ride tickets.

Price of fair admission = 43.75$ - 31.25$ = 12.50$

Now,

Cost of each ride ticket = $ 1.25

Admission price per patron = 12.50$

Therefore, the linear equation representing the total cost for anyone paying solely for ride tickets and fair admission is:

y = 1.25x + 12.50.

Here, y signifies the total expenditure, while x denotes the number of ride tickets acquired.