d) What is the predicted amount of fireworks used in 1998? e) What is the actual fireworks used in 1998?
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Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
d) What is the predicted amount of fireworks used in 1998?
e) What is the actual fireworks used in 1998?
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- Fluoride Exposure in Drinking WaterExercise 2.250 introduces a study showing thatfluoride exposure might have long-term negativeconsequences for the offspring of pregnant women.Part of the study examines the effect of adding flu-oride to tap water on mean fluoride concentrationin women. Summary statistics for fluoride concen-tration (measured in mg/L) for the two groups are given in Table 6.17. Find and interpret a 99% con-fidence interval for the mean increase in fluorideconcentration for those with fluoridated tap water. 1. find the t-score enter positive z-score 2. find the standard of error round 4 decimal places. 3 find the margin of error round 4 decimal placesA variable of two populations has a mean of 40 and a standard deviation of 20 for one of the populations and a mean of 40 and a standard deviation of 12 for the other population. a. For independent samples of size 25 and 16, respectively, find the mean and standard deviation of x1−x2.(Assume that the sampling is done with replacement or that the population is large enough.) The mean of x1−x2 is ? (Type an integer or a decimal. Do not round.) The standard deviation of x1−x2 is ? (Round to four decimal places as needed.) Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Choose the correct answer below. A. No, the variable does not need to be normally distributed for the formulas for the mean and standard deviation of x1−x2 to hold as long as the sample sizes are large enough, as long as the sampling is done with replacement. B. No, the variable must be approximately normally distributed…From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of that age remains constant at around 2.1 years. A survey of 38 smokers of this generation was done to see if the mean starting age is at least 19. The sample mean was 18.1 with a sample standard deviation of 1.3. Do the data support the claim at the 5% level? (i) Alpha (Enter an exact number as an integer, fraction, or decimal.)? =
- The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.In ? = 48 independent trials believed to be representative of trials at a particular lab- oratory, 16 resulted in ignition of a particular type of substrate by a lighted cigarette. Find a 95% CI for the true proportion, ?. You will need to state the parameter of interest, check conditions, calculate the CI, report the CI in context, and interpret the CI.A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 8 inches, and the standard deviation of the length is 0.03 inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 8 inches or whether something has gone wrong in the production process to change the length of the paper produced. A random sample of 100 sheets is selected, and the mean paper length is 8.001 inches. A 99% confidence interval estimate for the population mean paper length is 7.99326≤μ≤8.00874. Is it true that you do not know for sure whether the population mean is between 7.99326 and 8.00874 inches? Explain. Question content area bottom Part 1 Choose the correct answer below. A. It is false because the sample mean falls outside the interval. B. It is true because the population mean will be in the interval only 1% of the time.…
- A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 1.99 years, with sample standard deviation s = 0.70 years. However, it is thought that the overall population mean age of coyotes is ? = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use ? = 0.01. a) State the null and alternate hypotheses. choose correct one:H0: ? = 1.75 yr; H1: ? > 1.75 yrH0: ? < 1.75 yr; H1: ? = 1.75 yr H0: ? = 1.75 yr; H1: ? ≠ 1.75 yrH0: ? > 1.75 yr; H1: ? = 1.75 yrH0: ? = 1.75 yr; H1: ? < 1.75 yr b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. choose correct one: The standard normal, since the sample size is large and ? is known.The Student's t, since the sample size is large and ? is known. The Student's t, since the sample size is large and ? is unknown.The standard normal, since the sample size is…A population of unknown shape has a mean of 1900 and a standard deviation of 120 A) Find the minimum proportion of observations in the population that are in the range 1540 to 2260 B) Determine the maximum proportion of observation that are above 2140In a certain jurisdiction, all students in Grade Three are required to take a standardized test to evaluate their math comprehension skills.The file contains these data resulting from a random sample of n=30 schools within this jurisdiction. From these data you wish to estimate the model Yi=β0+β1Xi+ei where Xi is the percentage of Grade Three students in School i who live below the poverty line and Yi is the average mathematics comprehension score for all Grade Three students in the same school, School i. The observed data for the X variable is labled perbelowpoverty and the observed data for the Y variable is labeled mathscore in the file.Import (either hand type or load the file) data into R Studio, then answer the following questions based on the data.(a) Create a scatterplot of the data. What can you say about the nature of the relationship between the percentage of Grade Three students living below the poverty line in a certain school and the school's average Grade Three…
- A researcher conducted a Chi-square test to determine whether the progeny of oyster mushroom follows the ratio of 3 grey: 1 white. From his calculation, he found his calculated Chi-square is smaller than the critical Chi-square value from the table. Which one is the CORRECT conclusion? a. Null hypothesis cannot be rejected. The progeny ratio is different than the expected ratio. b. Null hypothesis is rejected. The progeny ratio follows the expected ratio. c. The ratio of the progeny from his experiment does not follow the ratio 3:1. d. The ratio of the progeny from his experiment is consistent with the ratio 3:1.A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 11 inches, and the standard deviation of the length is 0.02 inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 11 inches or whether something has gone wrong in the production process to change the length of the paper produced. You select a random sample of 50 sheets, and the mean paper length is 7.998 inches. Construct a 95% confidence interval estimate for the population mean paper lengthAn experiment is conducted to study the longevity of engine timing belts made of a new type of material. The experiment is run for a fixed time of 9 years. (Thus, the test is censored at 9 years). The sample results (in years) are 3.6 6.2 1.9 9+ 9+(where 9+ indicates that the timing belt was still in tact at the end of the experiment). What can you say about the ”average“ life span of one of these timing belts?