Psychopaths tend to be cold and calculated, often not worrying about others or consequences so they are typically not anxious. You are curious whether anxiety scores for people are associated with psychopathy scores. To test this you survey 12 undergraduate students on their anxiety level (0 to 100, higher mean more anxious) and their score on a standard psychopathy measure (0 to 40, higher score indicated a higher level of psychopathy). The data is as follows:

1) If you consider both variables to be interval, what is the correlation between anxiety and psychopathy scores?

1. List the strength and direction of the following correlations: r = .02 r = .53 r = -.89 2. Describe the difference between correlation and prediction (regression) analysis approaches? 3a. A regression model predicting the yearly salary (Y) for a teacher is predicted by years of experience(X). The analysis produces a constant of 38,000 and an intercept (slope) of 1,500. According to the model, what would be the salary of a teacher who has worked for 12 years? 3b. Additional variables are added to improve the model predicting annual teacher salary (Y). The model now includes years of experience (X1), number of awards (X2), and age (X3). The analysis produces a constant of 38,000, and the following slopes (x1 = 1,500, x2 = 5,000, x3 = .055). What would be the salary of a teacher who has worked for 5 years, won 2 awards, and is 27-years-old?

Assume you are given two resistors with resistances R₁=4.0 kΩ and R₂=6.0 kΩ and two capacitors with capacitances C₁=4.0 µF and C₂=6.0 µF.

a)      Calculate the equivalent resistances R_eq and the equivalent capacitance C_eq if the resistors are connected in series and the capacitors are connected in parallel.

b)      Now, use the R_eq and C_eq that you calculate in part (a) to construct an RC circuit. An emf of 27 V is applied across R_eq and C_eq to charge the capacitor. After C_eq is fully charged, the battery is removed at t=0. Calculate the potential difference across the C_eq after t= 12µs.

c)      If the resistor R₁ is made of iron wire with radius R= 3 mm, calculate the length of this wire. The resistivity of iron is ρ_iron= 9.68x10^-8 Ω.m.

d)      If the capacitance C₂ has square parallel-plates with the area A = 20 cm². Calculate the separation between plates.

Refer to the following scenario to answer questions #3 through #5.

According to the most recent 2018 estimates from the U.S. Census Bureau, the average age of first marriage for women is approximately 28 years old. You think that this number is much too low. You randomly sample 12 women and conduct a single sample t test to determine whether the known value of 28 for the population is significantly different from the mean score for the sample.

Ages of women for a random sample: 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 38, 40

Question 3

What is the mean for the sample?

Question 4

What is the value of t? (round to the thousandths)

Question 5

The difference between the population mean of 28 and the mean of the sample is statistically significant at the .05 level.

Group of answer choices

True

False

Find the mean and standard deviation for the following, where possible,if not.explain why it is not.

a. x P(x) b. x P(x) c. x P(x)

0 0.1 -9 0.15 0 0.34

1 0.2 10 0.45 1 0.23

2 0.3 11 0.38 2 0.17

3 0.4   12 -0.21 3 0.26

-4 0.3

d. In a poll of 12 to 18yr. old females, conducted by theNokTerNoh!Magazine editor,Carolyn(Zleep D’Pri’D), found that 27%of them said that they expected to see a female soccer player on a team in the Men’s World Cup within 10 years. A random sample of 12 females from this age group was selected, by use of the formula;findi.P(Exactly 8 females share this view) (4pts)ii.P(Between 5-7 share this view) (6pts)

1. Hanna Properties specializes in custom-home resales in Equestrian Estates, an exclusive subdivision in Phoenix, AZ.  A random sample of nine custom homes currently listed for sale provided the following information on size and price,  Here, x denotes size, in hundreds of square feet rounded to the nearest hundred, and y denotes price, in thousands of dollars, rounded to the nearest thousand.

1. Give the simple linear regression model and assumptions.

2. Write down the least squares regression line (3 decimal places).  

3. Give the 95% confidence interval for the slope parameter.

4. Test for a significant linear relationship between x and y at the 5% significance level.  Give the hypotheses, test statistic, conclusion, and interpretation.

he city council of Pine Bluffs is considering increasing the number of police in an effort to reduce crime. Before making a final decision, the council asked the chief of police to survey other cities of similar size to determine the relationship between the number of police and the number of crimes reported. The chief gathered the following sample information. City Police Number of Crimes City Police Number of Crimes Oxford 15 17 Holgate 17 7 Starksville 17 13 Carey 12 21 Danville 25 5 Whistler 11 19 Athens 27 7 Woodville 22 6 Determine the standard error of estimate. (Round your answer to 3 decimal places.) Determine the coefficient of determination. (Round your answer to 2 decimal places.) Interpret the coefficient of determination. (Round your answer to the nearest whole number.)

1. Hanna Properties specializes in custom-home resales in Equestrian Estates, an exclusive subdivision in Phoenix, AZ.  A random sample of nine custom homes currently listed for sale provided the following information on size and price,  Here, x denotes size, in hundreds of square feet rounded to the nearest hundred, and y denotes price, in thousands of dollars, rounded to the nearest thousand.

1. Give the simple linear regression model and assumptions.

2. Write down the least squares regression line (3 decimal places).  

3. Give the 95% confidence interval for the slope parameter.

4. Test for a significant linear relationship between x and y at the 5% significance level.  Give the hypotheses, test statistic, conclusion, and interpretation.

1)      A personal director is interested in studying the relationship (if any) between age and salary. Sixteen employees are randomly selected and their age and salary are recorded.

a)      Plot the data points on a scatterplot.

b)      Determine the correlation coefficient   

c)       Describe the relationship indicated by the correlation coefficient and the scatterplot.

d)      If there is a linear relationship, find the equation of the line of regression

e)      Graph the line of regression on the same axes where you constructed the scatterplot in (a) above

f)       Use either your line of regression or the equation of the line of regression to predict salaries for Age = 50 and Age = 70.