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Florida has over 7700 lakes.We wish to estimate the correlation between the pH levels of all Florida lakes and the mercury levels of fish in the lakes. It is found that the correlation between these two variables for a sample of n = 53 of the lakes is -0.575. (a) Give the notation for the quantity we are estimating. (b) Give the notation for the quantity we use to make the estimate. (c) Give the value of the best estimate. Round your answer to three decimal places.
Florida has over 7700 lakes.We wish to estimate the correlation between the pH levels of all Florida lakes and the mercury levels of fish in the lakes. It is found that the correlation between these two variables for a sample of n = 53 of the lakes is -0.575. (a) Give the notation for the quantity we are estimating. (b) Give the notation for the quantity we use to make the estimate. (c) Give the value of the best estimate. Round your answer to three decimal places.
Final answer:(a) Thenotationfor the quantity we are estimating is the population correlation coefficient, denoted as ρ.(b) The notation for the quantity we use to make the estimate is the sample correlation coefficient, denoted as r.(c) The value of the best estimate for the population correlation coefficient is approximately -0.575, rounded to three decimal places.Explanation:In this scenario, we are interested in estimating thecorrelationbetween the pH levels of all the lakes in Florida and the mercury levels of fish in these lakes. The population correlation coefficient, denoted as ρ, represents the true correlation in the entire population of Florida lakes. However, we often work with samples due to practical limitations.To estimate ρ, we calculate the sample correlationcoefficient, denoted as r, using data from a sample of 53 lakes. In this case, the sample correlation coefficient is found to be -0.575.This sample correlation coefficient serves as our best estimate for the population correlation coefficient. It suggests a negative correlation between pH levels and mercury levels in Florida lakes, with amagnitudeof approximately -0.575. This means that as pH levels decrease, mercury levels in fish tend to increase, and vice versa.Learn more aboutnotationbrainly.com/question/35871564#SPJ11...