this is the copy of the complete question. thank you **Transcription:**Listed below are the brain volumes (in cm³) of twins and the corresponding IQ scores. Construct a scatterplot, find the value of the linear correlation coefficient $ r $, and find the P-value using $ \alpha = 0.05 $. Is there sufficient evidence to conclude that there is a linear correlation between brain volume and IQ scores?| Brain volume | 1010 | 963 | 1034 | 1020 | 1290 | 1273 | 1054 | 1073 | 1039 | 1073 ||--------------|------|-----|------|------|------|------|------|------|------|------|| IQ score | 97 | 89 | 86 | 86 | 102 | 102 | 102 | 96 | 126 | 125 || Brain volume | 1170 | 1070 | 1061 | 1103 | 1343 | 1434 | 1030 | 1104 | 1207 | 1161 ||--------------|------|------|------|------|------|------|------|------|------|------|| IQ score | 101 | 97 | 93 | 88 | 95 | 84 | 97 | 113 | 112 | 125 |**What are the null and alternative hypotheses?**- $ H_0: \rho = 0 $- $ H_1: \rho > 0 $**Options:**- A. $ H_0: \rho = 0 $, $ H_1: \rho > 0 $- B. $ H_0: \rho = 0 $, $ H_1: \rho \neq 0 $- C. $ H_0: \rho \neq 0 $, $ H_1: \rho = 0 $- D. $ H_0: \rho = 0 $, $ H_1: \rho < 0 $**Construct a scatterplot. Choose the correct graph below.**- **Option A:** A scatterplot showing a cloud of points with no clear pattern.- **Option B:** A scattered plot with no visible correlation.- **Option C:** A scatter **Brain Volume and IQ Score Analysis**Listed below are the brain volumes (in cm³) of twins and the corresponding IQ scores. This analysis involves constructing a scatterplot, calculating the linear correlation coefficient $ r $, finding the P-value, and determining if there is sufficient evidence to conclude a linear correlation between brain volume and IQ scores using a significance level $ \alpha = 0.05 $.**Data Table:**| Brain Volume | IQ Score ||--------------|----------|| 1010 | 97 || 963 | 89 || 1034 | 86 || 1020 | 86 || 1290 | 102 || 1273 | 102 || 1054 | 102 || 1073 | 96 || 1039 | 126 || 1073 | 125 || 1170 | 101 || 1070 | 97 || 1061 | 93 || 1103 | 88 || 1343 | 95 || 1434 | 84 || 1030 | 97 || 1104 | 113 || 1207 | 112 || 1161 | 125 |**Scatterplot Diagrams:**1. **Left Scatterplot:** - Displays brain volume (x-axis, range 900-1500) versus IQ score (y-axis, range 80-130). - Shows scattered data points without a clear linear trend.2. **Middle Scatterplot:** - Similar setup to the left scatterplot. - Data points appear slightly closer to a linear trend, suggesting possible correlation.3. **Right Scatterplot:** - Similar axis setup. - Data shows a clear linear trend, indicating a strong correlation between brain volume and IQ scores.**Analysis:**- **Linear Correlation Coefficient ($ r $):** (Round to three decimal places and fill in)- **Test Statistic ($ t $):** (Round to three decimal places and fill in)- **P-value:** (Round to three decimal places and fill in)- **Conclusion:** Because the P-value is

Hey, since there are multiple subparts posted, we will answer first three question. If you want any…

Listed below are the brain volumes (in cm°) of twins and the corresponding lIQ score. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a =0.05. Is there sufficient evidence to conclude that there is a linear correlation between brain volume and IQ scores? Full Data set o 1054 1073 1039 1073 Brain volume 963 1034 1020 1290 1273 1010 102 96 126 125 89 86 86 102 102 IQ score 97 1030 1104 1207 1161 1061 1103 1343 1434 Brain volume IQ score 1170 1070 84 113 112 125 97 93 88 95 97 101 What are the null and alternative hypotheses? O B. Ho: p=0 H: p#0 O A. Ho: p=0 H,:p>0 O D. Ho: p=0 H,:p<0 OC. Ho: p#0 H.n=0

Listed below are the brain volumes (in cm°) of twins and the corresponding lIQ score. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a =0.05. Is there sufficient evidence to conclude that there is a linear correlation between brain volume and IQ scores? Full Data set o 1054 1073 1039 1073 Brain volume 963 1034 1020 1290 1273 1010 102 96 126 125 89 86 86 102 102 IQ score 97 1030 1104 1207 1161 1061 1103 1343 1434 Brain volume IQ score 1170 1070 84 113 112 125 97 93 88 95 97 101 What are the null and alternative hypotheses? O B. Ho: p=0 H: p#0 O A. Ho: p=0 H,:p>0 O D. Ho: p=0 H,:p<0 OC. Ho: p#0 H.n=0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 27PFA

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this is the copy of the complete question. thank you

**Transcription:**

Listed below are the brain volumes (in cm³) of twins and the corresponding IQ scores. Construct a scatterplot, find the value of the linear correlation coefficient $ r $, and find the P-value using $ \alpha = 0.05 $. Is there sufficient evidence to conclude that there is a linear correlation between brain volume and IQ scores?

| Brain volume | 1010 | 963 | 1034 | 1020 | 1290 | 1273 | 1054 | 1073 | 1039 | 1073 |
|--------------|------|-----|------|------|------|------|------|------|------|------|
| IQ score | 97 | 89 | 86 | 86 | 102 | 102 | 102 | 96 | 126 | 125 |

| Brain volume | 1170 | 1070 | 1061 | 1103 | 1343 | 1434 | 1030 | 1104 | 1207 | 1161 |
|--------------|------|------|------|------|------|------|------|------|------|------|
| IQ score | 101 | 97 | 93 | 88 | 95 | 84 | 97 | 113 | 112 | 125 |

**What are the null and alternative hypotheses?**

- $ H_0: \rho = 0 $
- $ H_1: \rho > 0 $

**Options:**
- A. $ H_0: \rho = 0 $, $ H_1: \rho > 0 $
- B. $ H_0: \rho = 0 $, $ H_1: \rho \neq 0 $
- C. $ H_0: \rho \neq 0 $, $ H_1: \rho = 0 $
- D. $ H_0: \rho = 0 $, $ H_1: \rho < 0 $

**Construct a scatterplot. Choose the correct graph below.**

- **Option A:** A scatterplot showing a cloud of points with no clear pattern.
- **Option B:** A scattered plot with no visible correlation.
- **Option C:** A scatter

**Brain Volume and IQ Score Analysis**

Listed below are the brain volumes (in cm³) of twins and the corresponding IQ scores. This analysis involves constructing a scatterplot, calculating the linear correlation coefficient $ r $, finding the P-value, and determining if there is sufficient evidence to conclude a linear correlation between brain volume and IQ scores using a significance level $ \alpha = 0.05 $.

**Data Table:**

| Brain Volume | IQ Score |
|--------------|----------|
| 1010 | 97 |
| 963 | 89 |
| 1034 | 86 |
| 1020 | 86 |
| 1290 | 102 |
| 1273 | 102 |
| 1054 | 102 |
| 1073 | 96 |
| 1039 | 126 |
| 1073 | 125 |
| 1170 | 101 |
| 1070 | 97 |
| 1061 | 93 |
| 1103 | 88 |
| 1343 | 95 |
| 1434 | 84 |
| 1030 | 97 |
| 1104 | 113 |
| 1207 | 112 |
| 1161 | 125 |

**Scatterplot Diagrams:**

1. **Left Scatterplot:**
- Displays brain volume (x-axis, range 900-1500) versus IQ score (y-axis, range 80-130).
- Shows scattered data points without a clear linear trend.

2. **Middle Scatterplot:**
- Similar setup to the left scatterplot.
- Data points appear slightly closer to a linear trend, suggesting possible correlation.

3. **Right Scatterplot:**
- Similar axis setup.
- Data shows a clear linear trend, indicating a strong correlation between brain volume and IQ scores.

**Analysis:**

- **Linear Correlation Coefficient ($ r $):**
(Round to three decimal places and fill in)

- **Test Statistic ($ t $):**
(Round to three decimal places and fill in)

- **P-value:**
(Round to three decimal places and fill in)

- **Conclusion:**
Because the P-value is

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