Exercise 1 (18 marks) The following table presents shear strengths (in kN/mm) and weld diameters (in...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Exercise 1 (18 marks) The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds. Strength 51 Diameter 4.2 4.4 4.6 4.8 5.0 5.2 5.4 5.6 5.8 468024600 54 69 81 75 79 89 101 6.0 98 102 a) Construct a scatterplot of strength (y) versus diameter (x). Verify that a linear model is appropriate. (done by hand) b) Compute the least-squares line for predicting strength from diameter. (show all your calculations) Compute the fitted values (i.e. the predicted values) and the residual for each point. Which point has the residual with the largest magnitude? (can be done in excel) d) If the diameter is increased by 0.3 mm, by how much would you predict the strength to increase or decrease? e) Predict the strength for a diameter of 5.5 mm. f) Can the least-squares line be used to predict the strength for a diameter of 8mm? If so, predict the strength. If not, explain why not. g) For what diameter would you predict a strength of 95 kN/mm? h) Compute the regression sum of squares, the error sum of squares, and the total sum of squares. i) Divide the regression sum of squares by the total sum of squares. What is the relationship between this quantity and the correlation coefficient? Exercise 1 (18 marks) The following table presents shear strengths (in kN/mm) and weld diameters (in mm) for a sample of spot welds. Strength 51 Diameter 4.2 4.4 4.6 4.8 5.0 5.2 5.4 5.6 5.8 468024600 54 69 81 75 79 89 101 6.0 98 102 a) Construct a scatterplot of strength (y) versus diameter (x). Verify that a linear model is appropriate. (done by hand) b) Compute the least-squares line for predicting strength from diameter. (show all your calculations) Compute the fitted values (i.e. the predicted values) and the residual for each point. Which point has the residual with the largest magnitude? (can be done in excel) d) If the diameter is increased by 0.3 mm, by how much would you predict the strength to increase or decrease? e) Predict the strength for a diameter of 5.5 mm. f) Can the least-squares line be used to predict the strength for a diameter of 8mm? If so, predict the strength. If not, explain why not. g) For what diameter would you predict a strength of 95 kN/mm? h) Compute the regression sum of squares, the error sum of squares, and the total sum of squares. i) Divide the regression sum of squares by the total sum of squares. What is the relationship between this quantity and the correlation coefficient?
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
a) If the block is at rest (and the only forces acting on the block are the force due to gravity and the normal force from the table), what is the magnitude of the force due to friction? b) Suppose...
-
T-accounts and the accounting equation Required Record each of the following Zeke Co. events in T-accounts, and then explain how the event affects the accounting equation: a. Received $10,000 cash by...
-
The president of the Specialty Paint Corp. gets the idea to work with a local beer brewer to produce an invisible beer can (as an anti-litter measure). The president tells her legal department to...
-
What is the fallacy of composition?
-
The following events were completed by Yangs Imports in September 2014. Sept. 1 Acquired $30,000 cash from the issue of common stock. 1 Purchased $18,000 of merchandise on account with terms 2/10,...
-
5. Freedom Corp reported the following on its comparative income statement (in millions) 2025 Net Sales Revenue Cost of Goods Sold 2024 $10,000 $ 8,000 4,500 3,000 Prepare a horizontal analysis of...
-
An asset cost $200.000. It has a salvage value of $40.000. It has a 10 year life. What is its depreciation expense if the company uses straight-line depreciation? $16,000 O $20,000 O $160,000 O...
-
Evaluate each expression. (a) log 6 = (b) 1084 1 64 Undefined ?
-
If an employee earned $ 7 2 5 this week and has contributed $ 2 7 2 1 . 4 0 to CPP so far, what will their next contribution cost likely be ?
-
What are some ethical issues by using AI such as Chat GPT in education system. Scenario which create and solve the ethical dilemmas reading using emerging technologies in the health system. Research...
-
Provide answer for the following question with an example 1. Explain why supply chain risk, vulnerability, robustness and resilience have emerged as important themes in LSCM. 2. Identify the sources...
-
Suppose your demand function is given by D(q) = - q - 2q + 517, where q is thousands of units sold and D(g) is dollars per unit. Compute the following, showing all calculations clearly. A) If 7000...
-
HMC sold equipment December 5, 2018 for $2,000. It originally purchased the equipment February 1, 2010 for $12,000. The equipment is fully depreciated for book and tax purposes. For tax purposes, the...
-
For the following arrangements, discuss whether they are 'in substance' lease transactions, and thus fall under the ambit of IAS 17.
Study smarter with the SolutionInn App