Forest Fires and Acres Burned  An environmentalist wants to determine the relationships between the numbers (in thousands) of forest fires over the year and the number (in thousands) of acres burned. The data for 8 recent years are shown. Describe the relationship.  Number of fires x                    72   69   58   47   84   62   57   45 Numbers of acres burned y   62   42   19   26   51    15    30   15 Draw the scatter plot for the variables. Compute the value of the correlation coefficient State the hypothesis Test the significance of the correlation coefficient at a= 0.05

PLEASE HELP ANSWER ALL SUBS A-i THANK YOU A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. PLAESE ANSWER ALL SUBS A-i its all one question   Time 16 8 29 24 8 7 14 19 15 Money 41 29 85 80 42 45 70 71 59   A. Find the correlation coefficient: r=     Round to 2 decimal places.  The null and alternative hypotheses for correlation are:H0: ρ  = 0H1: ρ  ≠ 0     B.The p-value is:?        (Round to four decimal places) C. Use a level of significance of α=0.05 to state the conclusion of the hypothesis test in the context of the study? There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that a customer who spends more time at the…

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data.  Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website.   (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative   strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r =  As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…

Triples and Home Runs The data below show the number of three-base hits (triples) and the number of home runs hit during the season by a random sample of MLB teams. Triples     33, 37, 27, 29, 18, 21                   Home runs   305, 345, 245, 265, 155, 185                    The correlation coefficient for the data is r= 1  and a=.01. Should regression analysis be done?                 The regression analysis should not be done or The regression analysis should be done. Find the equation of the regression line. Round the coefficients to at least three decimal places, if necessary y'= a+bx a= b= find y' when x= 28. Round the answer to at least three decimal places, if necessary y'=