A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results. a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the .05 significance level. c. Develop the regression equation for effective heating based on wattage. d. Which heater looks like the “best buy” based on the size of the residual?

A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. Here are the results. a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the .05 significance level. c. Develop the regression equation for effective heating based on wattage. d. Which heater looks like the “best buy” based on the size of the residual?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.3: Special Probability Density Functions

Problem 36E

See similar textbooks

Related questions

Q: Problem 2: Your company is preparing to roll out a fancy new facial recognition tool for detecting…

A: As Prof. N. G. Das said, "Let A1, A2, ... , An be n mutually exclusive and exhaustive events with…

Q: For the dinner special at a restaurant, the customer must choose a salad, an entree, a side dish,…

A: given data, salad:-2entree:-5side dish:-3dessert:-3for the dinner special at a resturant , the…

Q: Find the mean for the group of data items. Round to the nearest hundredth, if necessary. 11) 10, 11,…

A: Given X=10,11,6,9,7,12,3,6

Q: John threw a dart at the dart board. He got a bull's-eye 8 time out of 30. This is an example of…

A: Solution-: John threw a dart at the dart board. He got a bull's-eye 8 time out of 30. This is an…

Q: C2. For each of the following, (a) calculate the exact value using R; (b) get an approximate value…

A: Given: We need to find the exact value of the probability using R and an appropriate approximation…

Q: 2. Internet speed Carsten, Matt, and Rainer designed an experiment to see how different environments…

A: Given Information: An experiment was designed to see how different environments affect the Internet…

Q: The average annual retum over the period 1886-2006 for stocks that comprise the S&P 500 is 8%, and…

A: We have given that Mean(M) = 8% Standard deviation = 25% Since we know that 95% rule is Range =…

Q: A AR(1) model is estimated, the R^2 is 50% the TSS for the y variable is 100. What is the SSE for…

A: Given that, The model is AR(1). R2 = 50% = 0.50 TSS = total sum of squares = 100 To find SSE for the…

Q: Prices for each weekly shipment of rats follow the distribution below. Price $10.00 $12.50 $15.00…

Q: Use the given data to find the equation of the regression line. Round the final values to three…

A: Given: Sr.N0 x y x * x x * y 1 24 15 576 360 2 26 13 676 338 3 28 20 784 560 4 30 16…

Q: Question 14 Given the normally distributed variable X with mean 18 and SD 2.5, find P(17<X) -0.6554…

A: given data, normal distributionμ=18σ=2.5p(17<x)=?p(17<X) means we have to find out the…

Q: A researcher studying stress is interested in the blood pressure measurements of chief executive…

A: claim : μ < 130x¯ = 122s = 18 accept Ho Reject Ho Ho True correct conclusion Type I…

Q: (a) 51 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to…

A: From the provided information, 51 athletes are running a race. A gold medal given to the winner, a…

Q: Find the area under the standard normal curve to the left of z= 1.5. Round to four decimal places.…

A: Given: The standard normal curve to the left of z is 1.5 z - score is 1.5

Q: An analyst tested a forecasting model and identified the following performance metrics. What do the…

A: Forecasting method is the estimation of future indices from the present data. Ideally, the…

Q: IF I (X₁-X)² = 32, and n = a what is S? A. 3.56 B.4 C. 1.89 D.2

A: Given that ∑(xi - x̄)2=32 , sample size n/9

Q: A local high school has both male and female students. Each student either plays a sport or doesn't.…

A: sport no sport total male 12 8 20 female 20 10 30 total 32 18 50

Q: QUESTION 7 Consider the following regression model and corresponding output for a dataset with n=104…

Q: The work week for adults in the US that work full time is normally distributed with a mean of 47…

A: Given data is48,42,55,51,48,65,54,54,45,49,53,50sample size(n)=12significance level(α)=0.10

Q: Let Y~ N(YXO, o²I), where X equals: X = TTLE 1 1 1 -1 22 0 21 0-3 ܚ ܝ And is the 3 x 1 regression…

A: We have Y~NY|Xθ, σ2I X=11 21-1 210-310-1 Y=61113 θ=θ0θ1θ2 is the regression coefficient matrix.

Q: One year, the mean age of an inmate on death row was 40.9 years. A sociologist wondered whether the…

Q: Cell midpoint (%) Frequancy (Number of samples) 0.5 1 0.8 16 1.1 12 1.4 10 1.7 12 2 18 2.3 16 2.6 3

Q: Bob is asked to construct a probability model for rolling a pair of fair dice. He lists the outcomes…

Q: Question 4 A drying kinetic experiment determined the following percent moisture at t = 25 minutes:…

Q: February 12, 2009 marked the 200th anniversary of Charles Darwin's birth. To celebrate, Gallup, a…

A: Note: According to Bartleby guidelines we can solve maximum of three subparts in a question and rest…

Q: Suppose scores on exams in statistics are normally distributed with an unknown population mean and a…

Q: A soft-drink machine is regulated so that it discharges an average of 200mL per cup. If the amount…

A: given data normal distributionμ = 200σ = 15FOR SMALLEST 25% X = ?

Q: (a) What is the probability that an adult visited a therapist during the past year, given that he or…

Q: A chain of taco restaurants claims that the population mean of the wait times in their drive-thru…

Q: 0X 33) Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00…

A: given data pay $ 3 to roll a fair dieif roll 3 or 6 you win $ 5otherwisw nothing expected value =?

Q: A book claims that more hockey players are born in January through March than in October through…

A: From given data we have : Birth Month Frequency January-March 62 April-June 53…

Q: Using [Hint_1] show that the sampling distribution of MLE is given by OMLE 0 N Fn-1m-1 i.e., the…

A: As per bartleby guidelines we can solve only first one question and rest can be reposted

Q: IBM wonders if its announcement of an acquisition had a significant impact on its stock price. On…

Q: Use the following data set for the next two problems. High-density lipoprotein cholesterol (HDL)…

Q: Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of…

Q: 12.10 FORECASTING MOVIE REVENUES WITH TWITTER. Refer to the IEEE International Conference on Web…

A: Given: We need to conduct a test of the null hypothesis, H0:β1=β2=0. Level of significance, α=0.05

Q: US Death Rates Due to Heart Disease (t) years (R) Death Rate (Number of Deaths per 100,000) Years…

A: Given data: Years Death rate 1960 559 1970 493 1980 412 1990 322 2000 258

Q: 17) sample has been randomly selected. 17) A machine dispenses a liquid drug into bottles in such a…

A: Given that Sample standard deviation =26 Population standard deviation =81 Sample size n =24

Q: A student scores 74 on a geography test and 264 on a mathematics test. The geography test has a mean…

A: The mean and standard deviation of geography test are 80 and 5, respectively.

Q: Given an x= 12, -15, and a = 4, the standardized z-score = +0.75 True or False True False

A: Given,X=12μ=15σ=4and Z-score=+0.75

Q: For the given data set, answer parts (a)-(d). None of the measures seems particularly appropriate.…

A: Given data: DATA 78 72 68 70 71 79 70 80 79 84 77 78 74 71 72 71…

Q: The following data are annualized returns on a group of 15 stocks 12.5, 13, 14.8, 11, 16.7, 9, 8.3,…

A: Arrange the data set in ascending order are.…

Q: We have partial time series data for monthly shipping amounts (Y+) and the corresponding exponential…

Q: For each of the following estimators, compute their bias and variance 0 = -1+ - Ex 1. 2. 3. 02 - (X…

A: Given, X1, X2, . . ., Xn~iidfXx, θ EX=θ VarX=1 EX3=θ3+3θ EX4=θ4+6θ2+3

Q: Find the standard deviation, s, of sample data summarized in the frequency distribution table given…

A: Given information: Interval Frequency 20-29 1 30-39 25 40-49 38 50-59 25 60-69 5…

Q: Construct a frequency distribution for the data using five classes. Describe the shape of the…

A: Given Information: From a sample of 20 randomly selected households, the ages of the dishwasher are…

Q: You can lower the likelihood of making a Type I error by: Group of answer choices Lowering the alpha…

A: Type I error is defined as reject H0 when H0 is true it is denoted by α

Q: A bottled water company runs a promotion in which 1 out of every 4 bottles has the word "Winner"…

A: It is given that the random variable represents the number of winners. The probability distribution…

Q: Based on the Venn diagram, the linear relationship between Teacher Support and Self-Esteem adjusted…

A: The objective is to identify the linear relationship between Teacher support and self esteem…

Q: The below table shows the probabilities generated by rolling one die 50 times and noting the up…

A: Given that probability distribution table is. X 1 2 3 4 5 6 P(x) 0.22 0.10 0.18 0.12 0.18 0.20

Question

A consumer buying cooperative tested the effective heating area of 20 different
electric space heaters with different wattages. Here are the results.

a. Compute the correlation between the wattage and heating area. Is there a direct or
an indirect relationship?
b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is
greater than zero. Use the .05 significance level.
c. Develop the regression equation for effective heating based on wattage.
d. Which heater looks like the “best buy” based on the size of the residual?

Heater
1
2
3
4
5
6
7
8
9
10
Wattage
1,500
750
1,500
1,250
1,250
1,250
1,000
2,000
1,000
1,500
Area
205
70
199
151
181
217
94
298
135
211
Heater
11
12
13
14
15
16
17
18
19
20
Wattage
1,250
500
500
1,500
2,000
1,500
750
1,500
1,250
500
Area
116
72
82
206
245
219
63
200
151
44

Definition Definition Relationship between two independent variables. A correlation 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.

Expert Solution