Question

Use the given dataset to complete parts (a) through (c) below. (Use a 0.05.) 676 12737812 8.83 608 38 38622 Cck here to view a table of critical values for the correlation coefficient a. Construct a scatterplot. Choose the correct graph below. OC. O A 16T 0 b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. DLL The linear correlation coefficient is a (Round to three decimal places as needed.) Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. D A There is insufficient evidence to support the claim of a linear correlation between the two variables There is sufficient evidence to support the claim of a linear correlation between the two variables OC. There is insufficient evidence to support the claim of a nonlinear correlation between the two variables D. There is sufficient evidence to support the claim of a nonlinear correlation between the two c. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot Choose the correct answer below. O A The scatterplot does not reveal a perfect straight-line pattern. 3. The schierlot reveals a perfect straight-line pattern, except for the presence of one outler Theaterpol does not reveal a perfect straight-line pattern, and contains one outler OD. The scatterplot reveals a perfect straight-line pattern and does not contain any outlers Click to select your answer(s).

Answer 1

a) Option A is correct

Using excel<data<megastat<correlation/regression<scatterplot

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b) Answer r= 0.817

Using excel<data<megastat<correlation/regression<regression

Regression Analysis
	r²	0.667
	r	0.817
	Std. Error	1.233
	n	11
	k	1
	Dep. Var.	y
ANOVA table
Source	SS	df	MS	F	p-value
Regression	27.4700	1	27.4700	18.06	.0021
Residual	13.6872	9	1.5208
Total	41.1572	10
Regression output				confidence interval
variables	coefficients	std. error	t (df=9)	p-value	95% lower	95% upper
Intercept	3.0006	1.12	2.68	0.03	0.46	5.54
x	0.4997	0.1176	4.250	.0021	0.2337	0.7657

c) Option B is correct

There is sufficient evidence to support the claim of a linear correlation between the two variables.

Since the p-value(0.002)<alpha(0.05)

From this, we can conclude that there is sufficient evidence to support the claim of a linear correlation between the two variables.

d) Option B is correct

The scatterplot reveals a perfect straight-line pattern, except for the presence of one outlier.

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