Calculate the value of the sample correlation coefficient. (Round your answer to three decimal places.) ___________ (b) If you decided to fit the simple linear regression model to this data, what proportion of observed variation in maximum prevalence could be explained by the model relationship? (Round your answer to three decimal places.) ____________ (c) If you decided to regress UV transparency index on maximum prevalence (i.e., interchange the roles of x and y), what proportion of observed variation could be attributed to the model relationship? (Round your answer to three decimal places.) _____________ (d) Carry out a test of H0: ? = 0.5 versus Ha: ? > 0.5 using a significance level of 0.05. [Note: The article reported the P-value for testing H0: ? = 0 versus H0: ? ≠ 0.] (Round your test statistic to two decimal places and your P-value to four decimal places.) ___________
Calculate the value of the sample correlation coefficient. (Round your answer to three decimal places.) ___________ (b) If you decided to fit the simple linear regression model to this data, what proportion of observed variation in maximum prevalence could be explained by the model relationship? (Round your answer to three decimal places.) ____________ (c) If you decided to regress UV transparency index on maximum prevalence (i.e., interchange the roles of x and y), what proportion of observed variation could be attributed to the model relationship? (Round your answer to three decimal places.) _____________ (d) Carry out a test of H0: ? = 0.5 versus Ha: ? > 0.5 using a significance level of 0.05. [Note: The article reported the P-value for testing H0: ? = 0 versus H0: ? ≠ 0.] (Round your test statistic to two decimal places and your P-value to four decimal places.) ___________
Calculate the value of the sample correlation coefficient. (Round your answer to three decimal places.) ___________ (b) If you decided to fit the simple linear regression model to this data, what proportion of observed variation in maximum prevalence could be explained by the model relationship? (Round your answer to three decimal places.) ____________ (c) If you decided to regress UV transparency index on maximum prevalence (i.e., interchange the roles of x and y), what proportion of observed variation could be attributed to the model relationship? (Round your answer to three decimal places.) _____________ (d) Carry out a test of H0: ? = 0.5 versus Ha: ? > 0.5 using a significance level of 0.05. [Note: The article reported the P-value for testing H0: ? = 0 versus H0: ? ≠ 0.] (Round your test statistic to two decimal places and your P-value to four decimal places.) ___________
(a) Calculate the value of the sample correlation coefficient. (Round your answer to three decimal places.)
___________
(b) If you decided to fit the simple linear regression model to this data, what proportion of observed variation in maximum prevalence could be explained by the model relationship? (Round your answer to three decimal places.)
____________
(c) If you decided to regress UV transparency index on maximum prevalence (i.e., interchange the roles of x and y), what proportion of observed variation could be attributed to the model relationship? (Round your answer to three decimal places.)
_____________
(d) Carry out a test of H0: ? = 0.5 versus Ha: ? > 0.5 using a significance level of 0.05. [Note: The article reported the P-value for testing H0: ? = 0 versus H0: ? ≠ 0.] (Round your test statistic to two decimal places and your P-value to four decimal places.)
___________
Transcribed Image Text:The accompanying data on x = UV transparency index and y = maximum prevalence of infection was read from a graph in an article.
x 1.2 1.4 1.5
y
2.0 2.1 2.7 2.7 2.7 2.8 2.9
3 31 1 13 08 15 2 17 35 25 10 35
15
3.0
3.5 3.8 3.8 4.5
4.5 5.1
5.1 5.7
Summary quantities include Sxx = 25.6506, Syy=5546.2353, and Sxy= 265.1882.
58 56
Definition Definition Relationship between two independent variables. A correlation tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
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