Assignment 3C 1) The regression equation for the table is as follows: Y= -1.51x1 +(-2.57)x2 +1.24x3 +9.60x4 +75.46. The equation for multiple regression is Y=B1x1 +B2x3 +B4x4 +a, where Y is the dependent variable, b is the coefficient, a is the constant and x is the independent variable. 2) The confidence interval I have applied for all the coefficients is 95%, meaning there is a 5% chance the results fall outside the interval. The education coefficient is between -1.95 and -1.07. The gender coefficient is between 0.07 and -5.21 at a 95% confidence level. The immigrant coefficient is between 4.08 and -1.6 at 95% confidence level, and the religion coefficient is between 12.76 and 6.44 at a 95% confidence level. 3) The confidence interval is one of the parameters that estimates or demonstrates the relationship between the results found in the sample and a characteristic in the population. There is a 95% probability that the education level of the population is between -1.95 and -1.07. Since the null value(0) is not part of the interval, there is statistical significance. The results for gender fall between 0.07 and -5.21, since the confidence interval includes 0, it is not statically significant. The results for immigration fall between 4.08 and -1.6, since the result also includes 0 in the interval, there is no statistical significance. The confidence interval results for religion fall between 12.76 and 6.44, proving there is statistical significance between the
Click here to unlock this and over one million essaysGet Access
So, we should reject the null hypothesis H0. At a 0.05 level of significance level, we conclude that there is a significant difference between the average height for females and the average height for the males.
Topics Distribution of the sample mean. Central Limit Theorem. Confidence intervals for a population mean. Confidence intervals for a population proportion. Sample size for a given confidence level and margin of error (proportions). Poll articles. Hypotheses tests for a mean, and differences in means (independent and paired samples). Sample size and power of a test. Type I and Type II errors. You will be given a table of normal probabilities. You may wish to be familiar with the follow formulae and their application.
C. The researchers analyzed the data as though it were at the interval/ratio level since they calculated means (the measure of central tendency that is appropriate only for interval/ratio level data) and standard deviations (the measure of dispersion for interval/ratio data) to describe their study variables.
A researcher found a significant relationship between a person's age, a, the number of hours a person works per week, b, and the number of accidents, y, the person has per year. The relationship can be represented by the multiple regression equation y = -3.2 + 0.012a + 0.23b. Predict the number of accidents per year (to the nearest whole number) for a person whose age is 42 and who works 46 hours per week.
The Pearson test is where the researcher is able to determine if there is an association between two variables of interval or ratio measurement (Plichta & Kelvin, 2013). When examining the value calculated by the Pearson test it is suggested that a value +/- 0.10 is weak, value of 0.30 is moderate or typical, and +/- 0.50 is considered substantial (Plichta & Kelvin, 2013). Furthermore, we can suggest that if r equals -1 there is a negative relationship, or if r equals 0 there is no relationships, and lastly if r equals +1 it indicates a positive relationship. In reviewing the relationship between variables, we can conclude that is there is no relationship between fatalism and religiosity due to r=0.11 and fatalism and spirituality due to r = 0.106. Furthermore, the p value was set at 0.05 for each of these variables. The p value for fatalism and religiosity was 0.19 and for fatalism and spiritualty was 0.23, subsequently since both these values are
A random sample over the course of a few weeks produces 91 surveys or customer complaint cards. The observations produced a mean of x= 26.1 and a standard deviation to s= 2.8. Since the sample size is large the standard formula will be used. The equation will be 26.1 + and – 1.960 2.8 / the square root of 91. Once the calculations are done we can determine the calculations will be 26.1 + and – 0.58. Thus the 95% confidence level for u will be 25.52 and
5. After examining the coding procedure, do you think these categories demonstrate construct validity? (Remember to justify your answer to demonstrate how you arrived at your decision) (Around 3 sentences) 6. What evidence is there to suggest the observations have acceptable reliability? (Hint: Ask yourself what information do we look for to tell us about reliability? Is this information included in the article?)?
Since 79.38 is larger than 12.592, I can reject the null hypothesis and conclude this data to be statistically significant. My P-value is 0.00 and with a significance level of 0.05, I am able to reject the null hypothesis that income does not influence vote choice and I am able to conclude that income does have an effect on vote choice.
The mean, average of the population, the standard deviation, deviation in the sample, and a histogram, a graph to show the percentage of the population, was prepared. The means calculated as follows: blue 0.2072, orange 0.2271, green 0.1852, yellow 0.1165, red 0.1448, and brown 0.1192. The histogram was bell shaped with three outliers, numbers outside the given range, of 55 candies, or one bag.
First, I decided to perform a survey, which I did through surveymonkey.com. I received seventy responses. The youngest person was seventeen, while the oldest person who took the survey was seventy-nine. Fifty-one of the respondents were female, and nineteen of them were male. I had responses from people with a variety of schooling levels, between high school and graduate school. Thirty-three of the people who took the survey had graduated from high school, which is 47.14 percent, the biggest group. Ten had completed one to three years of college, thirteen had graduated from college, and seven either completed graduate school or completed some graduate school. Seven people had not completed
f) Find a 95% confidence interval for the difference between these proportions. From this interval, can we conclude that there is a significant difference in the proportions at the 5% level of significance?
This regression equation can be graphed as follows assuming β0 as the intercept and β1 as the slope:
….βk are coefficients of the ‘k’ predictor variables (k = 7 in this model). The coefficients indicate how the price changes by a unit change in any variable, keeping rest of the variables constant.