Smitley and Davis studied the changes in gypsy moth egg mass density over one generation as a function of the initial egg mass density in a control plot and two treated plots. The data below are for the control plot. Initial Egg Mass (per 0.04 ha) 50 75 100 160 175 180 200 Change in Egg Mass Density (%) 250 -100 -25 -25 -50 50 0 A. On the basis of the data given in the table, find the best-fitting logarithmic function using least squares. State the square of the correlation coefficient. (Note that the authors used logarithms to the base 10.) (Use 4 decimal places in your answers.) y(x) =        r2 =        B. Use this model to estimate the change in egg mass density with an initial egg mass of 120 per 0.04 ha. (Use 4 decimal places in your answer.) With an initial egg mass of 120 per 0.04ha, the change in mass density is         %

The table below shows the number of state-registered automatic weapons and the murder rate for several states in the U.S. 11.6 8.4 6.7 3.5 2.7 2.7 2.2 0.9 14.1 11.3 9.9 6.8 6.2 6.3 5.8 I = thousands of automatic weapons y = murders per 100,000 residents Keep in mind, the data in the table do not necessarily imply a direct causal link between the two variables. (In fact, can you think of any reasons why these variables may not be directly related to each other?) Also, the purpose of this question is not to make a political statement about guns or gun control. It's only to illustrate that data such as these sometimes have mathematical relationships that can be modeled with linear equations. Those relationships should always be questioned and examined carefully. With that said, these data can be modeled by the equation y = 0.87z + 3.95. Use this equation to answer the following; A) If this model is oconsistent, how many murders per 100,000 residents can be expected in a state with 8.7…

Match the best graphic to be used for each scenario. To compare the choleterol levels between males and females v [ Chopse] box plot pie chart side by side box plot To display the breakdown of diet types (vegan, vegetarian, low carb, low fat)fat stem plot To describe the distribution of fasting blood [ Choose ] sugar levels among elderly diabetic patients To calculate the proportion of people in a study sample who weigh less than the [Choose] sample meanhah No new data to save. Last checked MacBook Air

Systolic coefficients of variation are 14.2% and the Diastolic is 17%   The coefficients of variation for each data set are:   a. more than 5 percentage points apart   b. within 5 percentage points of each other     ​Therefore, the systolic measurements vary   a. about the same as   b. significantly more than    c. significantly less than the diastolic measurements.

The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and muscular endurance y. The accompanying data was read from a plot in the paper. X 390 740 760 y 3.90 r 3.90 5.00 5.30 4.10 3.60 6.20 OH₂: P = 0 Ha: P 0 1,465 1,470 1,495 2,190 t = P-value = 6.98 7.45 4.85 7.70 4.55 6.70 8.80 OH₂: P = 0 H₂: P = 0 Compute the value of the sample correlation coefficient, r. (Round your answer to four decimal places.) Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.) State the conclusion in the problem context. O Fail to reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. Reject Ho. A positive correlation exists between maximum lactate level and muscular endurance. O Fail to reject Ho. A positive correlation does not exist between maximum lactate level and muscular endurance. O Reject Ho. A…

On occasion, medical studies need to model the proportion of the population that has a disease and compare that to observed frequencies of the disease actually occurring. Suppose the end-stage renal failure in south-west Wales was collected for different age groups. Do the data in the table show that the observed frequencies are in agreement with proportion of people in each age group? Test at the 1% level. Renal Failure Frequencies Age group 16-29 30-44 45-59 60-74 75+ Total Observed Frequencies 125 152 134 124 48 583 Expected Proportion 0.23 0.25 0.22 0.21 0.09   State the hypotheses.H0: The observed frequencies     in agreement with proportion of people in each age group.Ha: The observed frequencies     in agreement with proportion of people in each age group. Calculate the χ2 test statistic. Round expected values to two decimal places. Round χ2 to 3 decimal places.χ2 =  Calculate the p-value. Round to 3 decimal places.p-value =  State your decision.Since p-value     α,…

The trend of thinner beauty pageant winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are body mass indexes​ (BMI) for beauty pageant winners from two different time periods.  Find the coefficient of variation for each of the two sets of​ data, then compare the variation.                       The coefficient of variation for the​ BMI's of beauty pageant winners from the 1920s and 1930s is  %

A manufacturer of exercise equipment wanted to collect data on the effectiveness of their equipment. A magazine article compared how long it would take men and women to burn 200 calories during light or heavy workouts on various kinds of exercise equipment. The results summarized in the accompanying table are the average times for a group of physically active young men and women whose performances were measured on a representative sample of exercise equipment. Assume normality of the population. Complete parts (a) through (c) below. Click the icon to view the data table. C a) On average, how many minutes longer than a man must a woman exercise at a light exertion rate in order to burn 200 calories? Find a 95% confidence interval. minutes (Round to one decimal place as needed.) b) Estimate the average number of minutes longer a woman must work out at a light exertion than at heavy exertion to get the same benefit. Find a 95% confidence interval. (₁) minutes (Round to one decimal place…

For the following example indicate the type of data involved using the following: A = nominal data B = ordinal data C = interval data 1. Number of patients with coronary pathology in nursing homes in the U.S

Listed below are pulse rates (beats per minute) from samples of adult males and females. Find the mean and median for each of the two samples and then compare the two sets of results. Does there appear to be a difference? Male: Female: 86 71 54 84 57 95 53 89 53 63 59 72 68 85 87 90 91 88 70 92 77 63 82 53 91 88 94 82 86 64 Find the means. The mean for males is ☐ beats per minute and the mean for females is (Type integers or decimals rounded to one decimal place as needed.) beats per minute.