The correlation of variables can be determined by studying its scatter plot. The scatter plot can be described through its form, also known as (1)____. The form of scatter plot is either linear or (2)____. In terms of (3)____of correlation, it could be categorized as positive or negative correlation depending on the behavior of the points. The variables can also have no correlation. The strength of correlation also known as (4)____determines the closeness of the points in a line. If the points are plotted and they form a line, then there is (5)____ correlation.

A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underwater. For all but the shallowest dives, there is a linear relationship that is different for different penguins. The study report gives a scatterplot for one penguin titled, “The relation of dive duration (DD) to depth (D).” Duration DD is measured in minutes, and depth D is in meters. The report then says, “The regression equation for this bird is DD=2.69+0.0138D. (a) What is the slope of the regression line? (Enter your answer rounded to four decimal places.) slope =     (b) On average, if the depth of the dive increases by one meter, what is the increase in the diving duration? (Enter your answer rounded to four decimal places.) increase in duration =   minutes (c) According to the regression line, how long does a typical dive to a depth of 168 meters last? (Enter your answer rounded to three decimal places.) length…

Please complete the rest of these questions thank you! The given scatter plot shows age versus test score data for a testof video game skills: d) Use your equation to predict the test score for a60 year-old test-taker.e) Estimate the value of the linear correlationcoefficient for your line. Explain your reasoning.

Please explain step by step how you solved for each problem, and where the numbers came from.