The extent to which X-rays can penetrate tooth enamel had been suggested as a suitable mechanism for differentiating between males and females in forensic medicine. Listed below in appropriate units are the 'spectropenetration gradients' for eight female and teeth and eight male teeth: Male (x1) Female (X2) 4.9 5.4 5.0 5.5 5.4 6.6 6.3 4.3 4.8 5.3 3.7 4.1 5.6 4.0 3.6 5.0
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- Assume we have data demonstrating a strong linear link between the amount of fertilizer applied to certain plants and their yield. Which is the independent variable in this research question?What are the criteria and steps needed to take to asses the degree in which an independent variable causes changes observed in the dependant variable?The authors of a paper investigated whether water temperature was related to how far a salamander would swim and whether it would swim upstream or downstream. Data for 14 streams with different mean water temperatures where salamander larvae were released are given (approximated from a graph that appeared in the paper). The two variables of interest are x = mean water temperature (°C) and y = net directionality, which was defined as the difference in the relative frequency of the released salamander larvae moving upstream and the relative frequency of released salamander larvae moving downstream. A positive value of net directionality means a higher proportion were moving upstream than downstream. A negative value of net directionality means a higher proportion were moving downstream than upstream. Mean Temperature (x) Net Directionality (y) 6.12 −0.088.11 0.25 8.57 −0.1410.51 0.00 12.5 0.08 12.04 0.03 12.45 −0.0717.93 0.29 18.34 0.23 19.84 0.24 20.3 0.19 19.02 0.14 17.78 0.05 19.67…
- The authors of a paper investigated whether water temperature was related to how far a salamander would swim and whether it would swim upstream or downstream. Data for 14 streams with different mean water temperatures where salamander larvae were released are given (approximated from a graph that appeared in the paper). The two variables of interest are x = mean water temperature (°C) and y = net directionality, which was defined as the difference in the relative frequency of the released salamander larvae moving upstream and the relative frequency of released salamander larvae moving downstream. A positive value of net directionality means a higher proportion were moving upstream than downstream. A negative value of net directionality means a higher proportion were moving downstream than upstream. Mean Temperature (x) Net Directionality (y) 6.12 −0.088.01 0.25 8.57 −0.1410.61 0.00 12.5 0.08 11.94 0.03 12.55 −0.0717.93 0.29 18.24 0.23 19.84 0.24 20.3 0.19 19.12 0.14 17.78 0.05 19.57…The authors of a paper investigated whether water temperature was related to how far a salamander would swim and whether it would swim upstream or downstream. Data for 14 streams with different mean water temperatures where salamander larvae were released are given (approximated from a graph that appeared in the paper). The two variables of interest are x = mean water temperature (°C) and y = net directionality, which was defined as the difference in the relative frequency of the released salamander larvae moving upstream and the relative frequency of released salamander larvae moving downstream. A positive value of net directionality means a higher proportion were moving upstream than downstream. A negative value of net directionality means a higher proportion were moving downstream than upstream. Mean Temperature (x) Net Directionality (y) 6.22 −0.08 8.01 0.25 8.67 −0.14 10.61 0.00 12.5 0.08 11.94 0.03 12.55 −0.07 17.93 0.29 18.34 0.23…A fast-food chain decided to carry out an experiment to assess the influence of advertising expenditure on sales. Different relative changes in advertising expenditure, compared to the previous year, were made in eight regions of the country, and resulting changes in sales levels were observed the accompanying table shows the results. Increase in advertising expenditure (%) 0 5 15 20 25 30 35 40 Increase in sales (%) 5 10 18 25 35 50 60 65 Determine the value of ∑X, ∑X2, ∑Y, ∑Y2, ∑XY. Where X represent independent variable and Y for dependent variable. Determine and interpret the coefficient of correlation between the two variables. Determine the value of regressions coefficients and write down the simple linear regression model.…
- A fast-food chain decided to carry out an experiment to assess the influence of advertising expenditure on sales. Different relative changes in advertising expenditure, compared to the previous year, were made in eight regions of the country, and resulting changes in sales levels were observed the accompanying table shows the results. Increase in advertising expenditure (%) 0 5 15 20 25 30 35 40 Increase in sales (%) 5 10 18 25 35 50 60 65 Determine the value of ∑X, ∑X2, ∑Y, ∑Y2, ∑XY. Where X represent independent variable and Y for dependent variable. Determine and interpret the coefficient of correlation between the two variables. Determine the value of regressions coefficients and write down the simple linear regression model. Test the validity of the model…Based on lecture notes for other activation functions, and textbook, pp 189, please specify the following statements are true or false, and given necessary justifications. (1.1) Sigmoid activation function is popular before the advent of ReLu function. (1.2) Sigmoid activation function is like a piecewise linear function and with a relatively tractable gradient computation.A_____________ is used to help us to see what type ofrelation, if any, may exist between two variables.
- A researcher is studying the intensity of hurricanes that entered the Gulf of Mexico between 1975-2015 and the average water temperature of the Gulf of Mexico at the hurricane's peak strength. What is the independent and dependent variable in this study?An agronomist undertook an experiment to investigate the factors that potato harvest. In his research, agronomist decided to divide the farm into 30 half hectare plots and apply varies level of fertilizer. Potato was then planted and the harvest at the end of the season was recorded. Fertilizer(Kg) Harvest (tons) 210 43.5 220 40.0 230 48.0 240 65.0 250 80.0 260 85.0 270 95.0 280 80.0 290 97.3 2. Find the coefficient of determination and interpret its value. 3. Does the model appear to be a useful tool in predicting the potato harvest? If so, predict the harvest when 250KG of fertilizer is applied. If not explain why not.The average weight of a Coastal male Grizzly Bear is approximately normal with E(x); =795 pounds and SD * (x) = 80 pounds. 8. How likely is it to randomly select 64 Coastal male Grizzly Bears with a sample average weight of 810 pounds or more? Which density curve is the best model for this problem?