Suppose that we had the following results from an experiment in which we measured the growth of a cell culture (as optical density) at different pH levels. (8 marks)
pH 4.5 5 5.5 6 6.5 7
Optical Density 0.15 0.22 0.25 0.32 0.33 0.35
(i) Find the equation that fits these data.
(ii) Use the regression equation to find the Optical Density when the pH level is 7.5.
(iii) Use the regression equation to find the pH level when the Optical Density is 0.20.
(iv) Calculate r.
(v) Is there a positive correlation between pH levels and Optical Density? Test at the 5% level of significance.
Suppose that we had the following results from an experiment in which we measured the growth...
1. The experiment earlier this week from one of the rounds gave the following results: 3 2.8 2.6 Q 2.4 22 2 1.8 3 4 5 6 7 Costs Running the regression yielded the following function: 0 = 3.15-0.122Cost: p=0.4526 (0.001) (0.21) Where the p-values are in the parenthesis. a. Interpret the slope coefficient. b. What is the significance level for the slope coefficient? c. Suppose you wanted to add a quadratic term to the model. Given the following data,...
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The table below lists measured amounts of redshift and the distances (billions of light-years) to randomly selected astronomical objects. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 90% confidence level with a redshift of 0.0126 0.0716 0.0391 0.0105 Redshift 0.0235 0.0539 0.0443 Distance 0.32...
2-6% each part Suppose we have opened a catfish hot dog stand at the mall which will be open 4 hours per day. We are test marketing our sales at various prices to attempt to determine the best price we should use for our catfish hot dogs. So, let: Price of the Number of y hot dogs $1.50 $3.00 $4.00 hot dogs sold 182 118 39 Notice that we have put these variables in the same order that we did...
1. T/F a. If we increase our confidence level from 90 then to 95, interval will also increase for same the data. b. Correlation coefficient , and 'm' of regression equation are same. C. A statistical hypothesis is a statement and interpretation about a sample. d. To find the best-fit-line, the correlation coefficient of the paired data is a relevant information 10 T/F T/F T/F T/F 2. MCQ / Short questions a. A company claims that its car has mean...
Use Table 8.1, a computer, or a calculator to answer the following. Suppose a candidate for public office is favored by only 47% of the voters. If a sample survey randomly selects 2,500 voters, the percentage in the sample who favor the candidate can be thought of as a measurement from a normal curve with a mean of 47% and a standard deviation of 1%. Based on this information, how often (as a %) would such a survey show that...
6.Use Exponential smoothing forecasts with alpha of 0.1, 0.2, ..., 0.9 to predict March 2019 demand. Identify the value of alpha that results in the lowest MAD. 7.Find the monthly seasonal indices for the demand values using Simple Average (SA) method. Find the de-seasonalized demand values by dividing monthly demand by corresponding seasonal indices. 8.Use regression to perform trend analysis on the de-seasonalized demand values. Is trend analysis suitable for this data? Find MAD and explain the Excel Regression output...
Introduction William Livingston has recently been hired as the CEO of Electrics, Inc. Previously he had been the marketing manager for a large manufacturing company and had established a reputation for identifying new consumer trends. Electrics Inc. is a California-based generator manufacturing company. The company is well known for manufacturing large, heavy-duty generators at a reasonable cost. One of its greatest achievements is that its generators can be easily modified or customized for different applications. The company is considering an...
Suppose 1000 coins are tossed. Use the normal curve approximation to the binomial distribution to find the probability of getting the following result. Exactly 495 heads Use the table of areas under the standard normal curve given below. Click here to view page 1. Click here to view page 2. Click here to view page 3. Click here to view page 4. Click here to view page 5. Click here to view page 6. The probability of getting exactly 495...
Suppose 16 coins are tossed. Use the normal curve approximation to the binomial distribution to find the probability of getting the following result. More than 11 tails. Use the table of areas under the standard normal curve given below. Click here to view page 1. Click here to view page 2. Click here to view page 3. Click here to view page 4. Click here to view page 5. Click here to view page 6. Binomial probability = (Round to...
objective question
What is the mode and the mean for the following set of numbers? {4,9,8,2,16,4,4,8,9,6} O A. Mean = 7, mode =8 O B. Mean = 7, mode =4 O C. Mean = 6, mode =8 O D. Mean = 8, mode =9 You are conducting a survey of the people of the United Kingdom to find out how popular the racket sports are. You randomly choose people to call, and make 1,000 phone calls to people scattered across...