This Question: 1 pt 4 of 10 (0 complete) This Test: 10 pts possible The data bel

Question

This Question: 1 pt 4 of 10 (0 complete) This Test: 10 pts possible The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using -0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two variables? 97 13 10 32 ewers (y) 10.1 9.9 13.1 What are the null and alternative hypotheses? H1 p>0 Construct a scatterplot. Choose the correct graph below OA. 0 20 40 60 80 100 0 20 40 60 80 100 20 40 60 80 100 0 20 40 60 80 100 The linear correlation coefficient r is Round to three decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = 7.245482 - 0.0064301431 x
Sample size: 8
R (correlation coefficient) = -0.052186049
R-sq = 0.0027233837
Estimate of error standard deviation: 4.1648487

Parameter estimates:

Analysis of variance table for regression model:

Hence,

Null and Alternative hypotheses: Option C is correct.

Graph D is correct.

r = -0.052

t = -0.128

P - value = 0.902

Greater; is not

Option B is correct.

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 7.245482 1.8601028 0 6 3.8952052 0.008 Slope -0.0064301431 0.050234075 0 6 -0.12800361 0.9023

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