Q12 d The yield of a chemical reaction is influenced by the temperature atwhich the reaction is run. A certain type of reaction was run 30 times,at different temperatures (in Celsius), and the yield of the product (in% area) was recorded. A simple linear regression model was fitted tothese data, where the yield is the response variable, and thetemperature is the explanatory variable.The coefficients table from the output produced when fitting the simplelinear regression model in Minitab is given below.CoefficientsTerm Coef SE Coef T-Value P-Value VIFConstant 0.52 1.29 0.40 0.689x0.474 0.170 2.78 0.010 1.00(b) Interpret the regression coefficient for the fitted model.(c)For these data, n = 30, S₂ = 759.8148, and s=4.69245. Showthat a 95% confidence interval for 3, the regression coefficient, isgiven by (0.125, 0.823) (rounded to 3 d.p.).|(d) From the Minitab output, the p-value for the two-sided t-test withnull hypothesis Ho: 3=0 is less than 0.05. Did you expect thisfrom the confidence interval? Explain why, or why not.

Given, n=30, Sxx=759.8148 s=4.69245

Answered: (b) Interpret the regression…

Math

Statistics

(b) Interpret the regression coefficient for the fitted model.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...

See similar textbooks

Related questions

Q: 1. Matt throws javelins; he wants to improve so he's a champion javelin thrower. Cur- rently his…

A: Given Data : Sample Size, n = 37 Sample Mean, x̄ = 79.9 standard…

Q: The accompanying table shows a portion of the median sales price of new houses sold in the United…

A: Given data: Year Price CPI 2010 218100 218.06 2011 224600 224.94 2012 240900 229.59 2013…

Q: The data represent the time, in minutes, spent reading a political blog in a day. Construct a…

A: HERE use given data and 5 classes for making Frequency Distribution

Q: If when measuring two quantitative variables on an individual, we find that increases in the first…

A: The statement is If when measuring two quantitative variables on an individual, we find that…

Q: 2. A plate number is made up two consonants followed by How many plate numbers are possible. a. if…

A: A plate number is made by two consonants, three non-zero digits and vowel.

Q: An injection moulder produces golf ball with an average weight of 0.25gm. To investigate whether the…

Q: 4. Construct a 95% confidence interval for the population mean for horn length after supplements ✓ […

A: It is given that: .

Q: A study suggests that the time required to assemble an electronic component is normally distributed,…

Q: Use the Venn diagram in the figure. The number of elements in each subset is given. Compute the…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: . When you performed null hypothesis tests using a z-test for one sample proportion, what kinds of…

A: Given p=population proportion=0.16 Hypothesis Ho: p=0.16(claim) vs H1: p≠0.16 Reject the null…

Q: A factory that manufactures screws is performing a quality control experiment. Each object should…

A: The provided information is x¯=13.93 centimetersσ=0.22n=89 The factory that manufactures screws is…

Q: Research Question: On average do the number of people visiting Universal Studios and Disney World…

Q: Class interval 100-124 125-149 150-174 175-199 200-224 225-249

A: The following data is given Class interval frequency 100-124 5 125-149 8 150-174 16…

Q: The data found below measure the amounts of greenhouse gas emissions from three types of vehicles.…

Q: upvote would be given! Please check the table for the data. STATISTICS The Selecta Ice Cream…

A: Explanation: Enter the data in MS Excel: Select the data including headings Go to Data tab Click on…

Q: Sample 3 3.5 4 4.5 5 6 mean Probability 1/16 2/16 3/16 2/16 1/16 Find the standard error of the…

A: Introduction: It is required to calculate the standard error of the sample mean using the given…

Q: The mean value of land and buildings per acre from a sample of farms is $1600, with a standard…

A: Given Mean=1600 Standard deviations=300

Q: Direction: Complete the table below. Write accept or reject the hypothesis given the level of…

A: From the provided information is For Right-tailed test Reject Ho, Computed value ≥ Critical value…

Q: The response rate of a survey is the proportion of all people who were selected but did not complete…

A: The given statement is The response rate of a survey is the proportion of all people who were…

Q: student accommodations on campus faster than a local branch of a national pizza chain. Both the…

Q: 8. In how many ways can four integers 1, 2, 3, and 4 permute taken a. taken two at a time b. three…

A: Given, Four integers 1,2,3 and 4 permute taken

Q: The results of a recent study regarding smoking and three types of illness are shown in the…

A: Comment: As per the our company guideline we are supposed to answer only one question. Kindly repost…

Q: Problem 2: A political rally contains 20 Republicans, 13 Democrats and 6 Independents. 1. If one…

Q: Experiment: Selecting a single card from a standard playing deck. Which has 4 suits (Hearts, Clubs,…

A: Here, P(A ) = 20/52 P(B) =13/52 P(C ) = 12/52

Q: (a) The table below shows the Frequency Distribution of Books on Weekly Sales in GHS (cedis) in a…

Q: f. P(x > 0.4 | x > 0.2) = g. Find the 90th percentile. h. Find the maximum for the lower quartile.

Q: Please select wrong proposition: 1. x² distribution gets only positive values; 2. x² distribution is…

A: The objective is to identify the incorrect proportion about the Chi-square distribution.

Q: dependent observations X₁, X2 and X3 come from normal stributions that have the same mean, μ, but…

A: Solution

Q: Given the following frequency poly 2234 20 16 14 12 10 S 2 0 3 Find the upper limit of the third…

A: Solution-: We want to find the upper limit of the third class?

Q: The nails produced by a machine are assumed to have a mean of 5.0 cm. A random sample of 80 nails…

A: Null hypothesis: H0: µ=5. Alternative hypothesis: H1:µ>5. This is a right tailed test. Here, the…

Q: Construct a frequency distribution for the given data set using 6 classes. In the table, include the…

A: Given Total number of observations = 29 To complete the given frequency distribution table.

Q: A survey was conducted to measure the heights of Filipino men. The heights of the respondents were…

A: Let, X : Survey conducted to measure the heights of filipino man. Mean=μ=64.2 S.D.=σ=1.7 X~N(μ=64.2,…

Q: 1. Let the variable X be someone's disease status X = D then someone has strep throat X = Dc then…

Q: talk about You and your friends are at a sleepover you how potato chips are made and each pack has…

A: Hypothesis testing is a process to test the null hypothesis.

Q: An elevator has a placard stating that the maximum capacity is 1304 lb-8 passengers. So, 8 adult…

A: The following information has been given: The population mean is μ=173. The population standard…

Q: 2 f(x, y) = (2x + 3y),0 ≤ x, y ≤ 1. 5 Find PX < <x<²). 24

A: Given,f(x,y)=25(2x+3y) ; 0≤x,y≤1

Q: What is the value of D? Complete the table. Class Frequency Lower Boundary (LB) Interval 70-76 15…

A: Class Frequency (f) Lower boundary(LB) (class mark) (x) f⋅x <cf 70-76 15…

Q: A study was conducted to measure the weights of cabbage produced by a farm in Benguet. The weights…

Q: Suppose the distribution of a quantitative variable is heavily right-skewed and contains a low…

A: The choice of numerical summary depends on the shape of the distribution.

Q: Using the steps in hypothesis testing determine if theres a significant relationshi between the size…

A: The question is about correlation Given data is :

Q: Use the frequency histogram to complete the following parts. (a) Determine the number of classes.…

A: ( a ) ? Classes ( b ) Greatest frequency is about ? Least frequency is about ? ( c ) Class width =…

Q: The round off errors when measuring the distance that a long jumper has jumped is uniformly…

A: (c ) Obtain the probability that the round off error for a Jumper’s distance is exactly 2. The…

Q: Investing in the stock market can offer plenty of benefits and involve some risks. If an investor…

A: Given P loss/participates in the stock market=0.13 Pgain/does not participates in the stock market…

Q: Scenario: A mathematics placement test is given to all entering freshmen at a small college. A…

A: The regression equation is given by y' = a + bX

Q: At a certain plant, batteries are produced with a life span that is normally distributed with a…

Q: 10. The most common species of sweat bees are green, red, and yellow. For each color, we select a…

A: Introduction: It is required to identify the correct labels for the histograms.

Q: Compute the mean (ux) variance (a³x) and standard deviation (ax) of each sampling distribution. 1.…

A: As per our company guidelines we are suppose to answer only one question1)Given data is x 1 2 3…

Q: Here are the shopping times (in minutes) for a sample of 20 shoppers at a particular clothing store:…

A: Given data : 26,23,44,41,38,35,31,28,25,22,27,27,27,24,24,24,21,21,43,43 Class boundary : 20.5 Class…

Q: physics class has 50 students. Of these, 16 students are physics majors and 12 students are female.…

Q: The milk yield from two breeds of goats, A and B, is categorised as low, medium or high. One hundred…

A: Given: The milk yield from two breeds of goats, A and B, is categorized as low, medium or high. One…

Question

Q12 d

The yield of a chemical reaction is influenced by the temperature at
which the reaction is run. A certain type of reaction was run 30 times,
at different temperatures (in Celsius), and the yield of the product (in
% area) was recorded. A simple linear regression model was fitted to
these data, where the yield is the response variable, and the
temperature is the explanatory variable.
The coefficients table from the output produced when fitting the simple
linear regression model in Minitab is given below.
Coefficients
Term Coef SE Coef T-Value P-Value VIF
Constant 0.52 1.29 0.40 0.689
x
0.474 0.170 2.78 0.010 1.00
(b) Interpret the regression coefficient for the fitted model.
(c)
For these data, n = 30, S₂ = 759.8148, and s=4.69245. Show
that a 95% confidence interval for 3, the regression coefficient, is
given by (0.125, 0.823) (rounded to 3 d.p.).
|
(d) From the Minitab output, the p-value for the two-sided t-test with
null hypothesis Ho: 3=0 is less than 0.05. Did you expect this
from the confidence interval? Explain why, or why not.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

XYZ Corporation Stock Prices The following table shows the average stock price, in dollars, of XYZ Corporation in the given month. Month Stock price January 2011 43.71 February 2011 44.22 March 2011 44.44 April 2011 45.17 May 2011 45.97 a. Find the equation of the regression line. Round the regression coefficients to three decimal places. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict the stock price to be in January 2012? January 2013?
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Cellular Phone Subscribers The table shows the numbers of cellular phone subscribers y in millions in the United States from 2008 through 2013. Source: CTIA- The Wireless Association Year200820092010201120122013Number,y270286296316326336 (a) Find the least squares regression line for the data. Let x represent the year, with x=8 corresponding to 2008. (b) Use the linear regression capabilities of a graphing utility to find a linear model for the data. How does this model compare with the model obtained in part a? (c) Use the linear model to create a table of estimated values for y. Compare the estimated values with the actual data.
Demand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00