Question

Use the table to answer the question.

x-Value y-Value
5 22
6 29
7 28
8 31
9 37
Use technology (such as GeoGebra) to find the correlation coefficient of the data. Round your r-value to two decimal places, if necessary.

(1 point)
Responses

0.94
0.94

0.93
0.93

0.90
0.90

6.40
6.40
Find the correlation coefficient of the following linear equation using technology (such as GeoGebra). For your r-value, use the first two decimal places.

y=43x−4


(1 point)
Responses

1.00
1.00

0.90
0.90

−0.99
negative 0.99

2.66
Interpret the following correlation coefficients and list them in order from weakest to strongest.

−0.89234651

0.72643969
−0.99872348

0.69846237
(1 point)
Responses

−0.89234651
, −0.99872348
, 0.69846237, and 0.72643969
negative 0.89234651 , negative 0.99872348 , 0.69846237, and 0.72643969

0.69846237, 0.72643969, −0.89234651
, and −0.99872348

0.69846237, 0.72643969, negative 0.89234651 , and negative 0.99872348

0.69846237, 0.72643969,−0.99872348
, and −0.89234651

0.69846237, 0.72643969, negative 0.99872348 , and negative 0.89234651

 −0.99872348
, −0.89234651
, 0.72643969, and 0.69846237
What is the correlation coefficient of the following data? Is it a strong or weak correlation?

x 1 3 5 7 9
y 13 43 51 76 81
(1 point)
Responses

−0.97300135
; weak
negative 0.97300135 ; weak

−0.97300135
; strong
negative 0.97300135 ; strong

0.97300135; strong
0.97300135; strong

0.97300135; weak
Question
Use the image to answer the question.

An unlabeled coordinate plane has a line with an arrow that begins at the point of origin and moves diagonally upward from left to right. Twenty-five closed points are plotted along the entire length of the line, above, below, and on it.

Which of the following statements best describes the data illustrated in the graph?

(1 point)
Responses

The graph illustrates a weak negative correlation between the data.
The graph illustrates a weak negative correlation between the data.

The graph illustrates a weak positive correlation between the data.
The graph illustrates a weak positive correlation between the data.

The graph illustrates a strong positive correlation between the data.
The graph illustrates a strong positive correlation between the data.

The graph illustrates a strong negative correlation between the data.

Answer 1

Here are the answers to your questions based on the information provided:

1. **Correlation coefficient of the first set of data:**
- Based on the given points (5, 22), (6, 29), (7, 28), (8, 31), (9, 37), it is likely that the correlation coefficient (r) is approximately **0.94**.

2. **Correlation coefficient of the linear equation `y = 43x - 4`:**
- For a perfectly linear relationship described by a single equation like `y = 43x - 4`, the correlation coefficient (r) is **1.00**.

3. **Order of correlation coefficients from weakest to strongest:**
- To order the given correlation coefficients:
- **−0.99872348** (strong negative)
- **−0.89234651** (moderate negative)
- **0.69846237** (moderate positive)
- **0.72643969** (moderate positive)
- The order from weakest to strongest would be: **−0.99872348, −0.89234651, 0.69846237, 0.72643969**.

4. **Correlation coefficient for the new data:**
- For the x values (1, 3, 5, 7, 9) and corresponding y values (13, 43, 51, 76, 81), the correlation coefficient is approximately **0.97300135**, indicating a **strong** positive correlation.

5. **Graph interpretation:**
- A line that rises diagonally from left to right with points plotted above, below, and on the line typically indicates a **strong positive correlation**. Therefore, the most appropriate description is that **the graph illustrates a strong positive correlation between the data**.

If you have any more questions or need additional explanations, feel free to ask!