) Check Image Best Actress    Best Actor 28                    41 30                    38 30                    40 62                    47

MATLAB: An Introduction with Applications
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1) Check Image

Best Actress    Best Actor

28                    41

30                    38

30                    40

62                    47

32                    47

34                    48

44                    64

28                    52

60                    41

23                    54

44                    44

51                    32

2)

The linear correlation coefficient is r=

​(Round to three decimal places as​ needed.)

 

3)

Determine the null and alternative hypotheses.

H0​: ρ

H1​: ρ

​(Type integers or decimals. Do not​ round.)

 

4)

The test statistic is t=

​(Round to three decimal places as​ needed.)

 

5)

The​ P-value is

​(Round to three decimal places as​ needed.)

 

6)

Because the​ P-value of the linear correlation coefficient is?             the significance​ level, there?              sufficient evidence to support the claim that there is a linear correlation between the ages of Best Actresses and Best Actors.

 

7) Check Image

The accompanying text describes a task that involves analyzing a dataset of ages of acting award winners aligned with the years in which the awards were won. The objective is to construct a scatterplot to visualize any potential relationship or correlation between the ages of Best Actor and Best Actress winners. 

In the task, you are required to:
1. Construct a scatterplot.
2. Find the linear correlation coefficient, denoted by \( r \).
3. Determine the P-value of \( r \).
4. Evaluate whether there is sufficient evidence to support a claim of linear correlation between the two variables, using a significance level of \( \alpha = 0.01 \).

Four scatterplots labeled A, B, C, and D are provided as options. Each graph plots "Best Actress (years)" on the x-axis against "Best Actor (years)" on the y-axis, with both axes ranging from 20 to 70 years. You must choose the correct scatterplot that accurately represents the data to accomplish the subsequent analysis.
Transcribed Image Text:The accompanying text describes a task that involves analyzing a dataset of ages of acting award winners aligned with the years in which the awards were won. The objective is to construct a scatterplot to visualize any potential relationship or correlation between the ages of Best Actor and Best Actress winners. In the task, you are required to: 1. Construct a scatterplot. 2. Find the linear correlation coefficient, denoted by \( r \). 3. Determine the P-value of \( r \). 4. Evaluate whether there is sufficient evidence to support a claim of linear correlation between the two variables, using a significance level of \( \alpha = 0.01 \). Four scatterplots labeled A, B, C, and D are provided as options. Each graph plots "Best Actress (years)" on the x-axis against "Best Actor (years)" on the y-axis, with both axes ranging from 20 to 70 years. You must choose the correct scatterplot that accurately represents the data to accomplish the subsequent analysis.
**Question:**

Should we expect that there would be a correlation?

**Options:**

- **A.** Yes, because Best Actors and Best Actresses are typically the same age.
  
- **B.** Yes, because Best Actors and Best Actresses typically appear in the same movies, so we should expect the ages to be correlated.
  
- **C.** No, because Best Actors and Best Actresses are not typically the same age.
  
- **D.** No, because Best Actors and Best Actresses typically appear in different movies, so we should not expect the ages to be correlated.
Transcribed Image Text:**Question:** Should we expect that there would be a correlation? **Options:** - **A.** Yes, because Best Actors and Best Actresses are typically the same age. - **B.** Yes, because Best Actors and Best Actresses typically appear in the same movies, so we should expect the ages to be correlated. - **C.** No, because Best Actors and Best Actresses are not typically the same age. - **D.** No, because Best Actors and Best Actresses typically appear in different movies, so we should not expect the ages to be correlated.
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