An analyst wanted to analyze the relationship between the speed of a car (x) measured in mph and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below.   Speed 25 35 45 50 60 65 70 Gas Mileage 40 39 37 33 30 27 25   What is the dependent variable? What is the independent variable?

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.8 8.2 6.8 3.5 2.8 2.8 2.3 0.5 y 13.9 10.8 10.1 7.2 6.5 6.5 6.3 4.8 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.81x + 4.35. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.8 thousand automatic weapons? Answer = Answer = Round to 3 decimal places.

Need asap. Just need help with the last answer.

A study by Judge and Cable (2010) suggests that there is a positive relationship between weight and income for a group of men. The following data is similar to what was collected in the study. To simplify the weight variable, the men are categorized into five categories that measure actual weight relative to height from 1=thinnest to 5=heaviest. Income is recorded as thousands earned annually. Weight (X) Income (Y) 4 151 5 88 3 52 2 73 1 49 3 92 1 56 5 143 a. Calculate the Pearson correlation for these data. b. Is the correlation statistically significant? Use a two-tailed test with a=.05.

The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1�1) is the number of hours spent studying, and the second independent variable (x2�2) is the student's GPA. Effects on ACT Scores Study Hours GPA ACT Score 11 22 1818 55 22 2727 55 33 2929 66 33 3131 66 33 3131 Copy Data Step 1 of 2 :   Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places

Need help with the last answer in the red box as it is wrong.

The amygdala is a brain structure involved in the processing and memory of emotional reactions. In a research project, 10 subjects were shown emotional video clips. They then had their brain scanned with positron emission tomography (PET) and their memory of the clips was assessed quantitatively. Here are the relative amygdala activity and the memory score for each subject: The relationship is (Linear or curved) and ( Moderate, weak, or strong)? The direction of the realtionship is (Negitive or positive)? The amygdala and memory 3/4: The correlation coefficient between relative activity and memory score is: (round your answer to 3 decimal places)

Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days y km/100 71 76 31 92 203 14.2 19.6 5.8 11.2 35.9 (a) Verify that Ex = 473, Ey = 86.7, Ex = 61,451, Ey = 2033.69, Exy = 10995.7, and r 0.93868. %3D %3D %3D %3D Σχ 1 473 ΣΥ| 86.7 Ex2 61451 Ey2 2033.69 Exy 10995.7 r0.93868 (b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.) t 4.72 critical t 4.54 Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject…

The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 352 pounds? Use a significance level of 0.05. Chest size (inches) *Weight (pounds) 44 54 328 528 41 55 39 51 418 580 296 503 Click the icon to view the critical values of the Pearson correlation coefficient r. - What is the regression equation? x (Round to one decimal place as needed.)

The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1�1) is the number of hours spent studying, and the second independent variable (x2�2) is the student's GPA. Effects on ACT Scores Study Hours GPA ACT Score 55 44 3030 44 33 3030 33 33 1919 33 33 1818 22 22 1818 Copy Data Step 1 of 2 :   Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places