How to compute for the 1. ∑x2 2. ∑ y2 3. ∑xy of this data set for linear regression?
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How to compute for the
1. ∑x2
2. ∑ y2
3. ∑xy
of this data set for linear regression?
Step by step
Solved in 5 steps
- How is it that estimates of variance can be used to test a hypothesis about means?Suppose the systolic blood pressure (in mm) of adult males has an approximately normal distribution with mean μμ =125 and standard deviation σσ =14. Create an empirical rule graph with the following: A title and label for the horizontal axis including units. Vertical lines for the mean and first 3 standard deviations in each direction with numerical labels on the horizontal axis Labels for the areas of the 8 regions separated by the vertical lines as well. Note: This may be hand drawn or computer generated. See the models for desired formats.a. Upload your completed file below. Question 1 Part 1 of 5Choose FileNo file chosenNow use your graph to answer the following questions.b. About 68% of men will have blood pressure between what amounts? and c. What percentage of men will have a systolic blood pressure outside the range 97 mm to 139 mm?Suppose the systolic blood pressure (in mm) of adult males has an approximately normal distribution with mean μμ =125 and standard deviation σσ =14. Create an empirical rule graph with the following: A title and label for the horizontal axis including units. Vertical lines for the mean and first 3 standard deviations in each direction with numerical labels on the horizontal axis Labels for the areas of the 8 regions separated by the vertical lines as well. Note: This may be hand drawn or computer generated. See the models for desired formats.a. Upload your completed file below. Question 1 Part 1 of 5Choose FileNo file chosenNow use your graph to answer the following questions.b. About 95% of men will have blood pressure between what amounts? and c. What percentage of men will have a systolic blood pressure outside the range 97 mm to 139 mm? d. Suppose you are a health practitioner and an adult male patient has systolic blood pressure of 168 mm. Use statistics to explain the gravity…
- FOR ESTIMATION OF PARAMETERS IN STATISTICS:What are the Types of Estimates?How to estimate a Mean?In recent years there has been considerable controversy over the use of standardized testing of high school students. Supporters say that the practice is a good measure of both student progress and teacher performance. Opponents say that too much testing impedes learning and causes unnecessarily large expenses for the school districts. There are even reports that a significant number of high school students opt out of taking some of the standardized tests. In one large city where the school district reported that the average score on a national test taken by students in their junior year was 74, a large group of parents felt that this average was too low. The parents contracted a research company in an attempt to show that the average score was higher than the claimed average of 74. The research company took a random sample of 100 juniors and they collected the corresponding 100 exam scores for those students. - what hypotheses is most appropriate to deal with the problem above. - What…The Great West Mining Company has struck the mother lode in their newly acquired gold field. They are modelling the weights of the gold nuggets they'll find over the next year using a normal distribution with a mean of 228 oz and a standard deviation of 70 oz . Use this table or the ALEKS calculator to find the percentage of nuggets that will be found over the next year weighing between 319 oz and 347 oz according to the model. For your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23% ).
- The engineer of large manufacturing company takes many measurements of a specific dimension of components from the production line. She finds that the distribution of dimensions is approximately normal, with a mean of 3.33 cm and a coefficient of variation of 3.60%.i. What percentage of measurements will be less than 3.50 cm?ii. What percentage of dimensions will be between 3.10 cm and 3.50 cm?iii. What percentage of measurements will be equal to 3.50 cm?iv. What value of the dimension will be exceeded by 90% of the components?Give a brief example of an empirical distribution of data.Jane White has recorded the following sales figures for last year for herbusiness: January, $35,645; February, $35,456; March, $31,270; April,$32,129; May, $34,456; June, $35,256; July, $36,218; August, $35,456;September, $34,250; October, $32,156; November, $30,125; December,$32,275. She wants to select from one of three models: a 3-month movingaverage, a weighted moving average (she believes that the weightsshould be 0.2, 0.3, and 0.5), and an exponential smoothing average inwhich she uses an α of 0.2 and an assumed forecast for January of Year 1of $35,000.a. Construct a table that shows each of these forecasts for the current year andprovide the forecast for January of Year 2.b. Using the available data and your forecasts, which model do you suggest thatJane use for her business?
- Doritos chips are one of the most popular chips in the year 2020. Frito-Lay produces snack-sized bags of Doritos with 1.75-ounce bags. Unfortunately, Frito-Lay has received many complaints that the bags of chips lack the promised amount of chips. PepsiCo, the owner of Frito-Lay, decide to run an internal investigation of their Doritos chip production. They sample around 500 bags of chips to discover that they found an average of 1.59 ounces with a standard deviation of .12 ounces. Conduct a hypothesis test with an alpha-level of .05. Should they change their production of Doritos chips to match the 1.75 ounces on the bag?Dr. Johnson is interested in the difference in mean systolic blood pressure between groups. He performs analysis and finds a mean difference of 0.0005 mmHg in systolic blood pressure with a p value of 0.001. Dr. Johnson's findings are: a) statistically insignificant and practically significant b) statistically significant and practically significant c) statistically insignificant and practically insignificant d) statistically significant but practically insProve the general formula for interval estimation of ratio of population variance.
