MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) 33.25 50.89 88.90 103.74 62.59 106.83 Tip (dollars) 4.00 4.60 11.73 14.46 6.71 16.29 Construct a scatterplot. Choose the correct graph below. A. 30120025Bill Amount ($)Tip Amount ($) A scatterplot has a horizontal axis labeled Bill Amount in dollars from 30 to 120 in increments of 10 and a vertical axis labeled Tip Amount in dollars from 0 to 25 in increments of 5. Six plotted points follow the pattern of a curve falling from left to right passing through the…arrow_forwardRead through this scenario and look at the data that was collected. State the null and all possible research hypotheses. Review the results below (I used SPSS) and answer the questions that follow. Scenario: A researcher wants to see if gender and / or income affects the total amount of help given to a stranger who is sitting on the side of a busy road with a sign asking for help. The independent variables are gender, income, and the interaction of gender and income. The dependent variable is total help. He wants to know if one or both factors – or the interaction of the two - affects the total amount of help offered. Because he is analyzing two independent variables (gender and income), he used a factorial ANOVA. His results show the main effect of each of the independent variables on the dependent variable (total help) and the interaction effect. The researcher is using a 95% confidence interval which means that he wants to be at least 95% sure that his independent variables…arrow_forwardListed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? 93.68 Bill (dollars) Tip (dollars) 30.46 48.91 90.03 64.35 104.74 O 3.59 8.21 8.36 14.33 12.70 17.38arrow_forward
- The scatterplot below shows the relationship between two random variables X and Y. Is the correlation a good metric for describing the relationship between X and Y for these data? Why or why not? Regardless of your answer to part (a), suppose you calculated the sample correlation between X and Y and found that r = -0.15. Explain in one sentence what this means. If, as noted in (b), r = -0.15 then what is the value of the correlation between 2X and 5Y? Based on (b) draw your best approximation to the least squares regression line that fits the data above. Also, make a rough sketch of the corresponding residual plot. (The sketches do not have to be beautiful but they have to covey the correct information.)arrow_forwardPlace the steps of conducting a correlation hypothesis test in order.Match each step on the left with the procedure at that step on the right. Step 1 2 3 4 5 6 7 Todo A. find the critical value from the table B. conclude there is a linear correlation or not sufficient evidence to conclude there is a linear correlation C. compare the absolute value of the test statistic to the critical value D. write null and alternative hypotheses E. reject or fail to reject the null hypothesis F. select a significance level alpha G. find the value of r (correlation coefficient) from your calculatorarrow_forwardListed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) Tip Amount ($) Construct a scatterplot. Choose the correct graph below. O A. 25- 30 C ● ·· Bill Amount (S) 32.25 49.72 87.12 101.52 66.52 104.21 4.25 7.70 7.90 11.83 7.08 11.35 120 Q M O B. Tip Amount ($) 25- ++++ 30 .. Bill Amount (S) 120 Q Q M C O C. Tip Amount ($) 25- 0+ 30 ● ·· Bill Amount ($) 120 Q Q O D. ip Amount ($) 25- to 0- 30 · Bill Amount (S) 120 Q Q Uarrow_forward
- Compute the Pearson correlation for the following data.X: 2, 3, 6, 4, 5 Y :3, 1, 5, 4, 2 A researcher is interested in seeing if there is a significant relationship between the number of hours of sleep a night (X) and Productivity scores (Y). She conducts a study to test her hypothesis. Please use the data set above. Use a two-tailed test with a = 0.1. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4.arrow_forwardListed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) 34.14 47.51 85.27 88.36 66.73 105.33 Tip (dollars) 3.51 5.55 16.44 17.42 6.69 13.97arrow_forwardListed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)arrow_forward
- The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d) below. LOADING... Click the icon to view the table of critical values of the correlation coefficient. a) Which variable is likely the explanatory variable and which is the response variable? Critical Values for Correlation Coefficient n 3 0.997 4 0.950 5 0.878 6 0.811 7 0.754 8 0.707 9 0.666 10 0.632 11 0.602 12 0.576 13 0.553 14 0.532 15 0.514 16 0.497 17 0.482 18 0.468 19 0.456 20 0.444 21 0.433 22 0.423 23 0.413 24 0.404 25 0.396 26 0.388 27 0.381 28 0.374 29 0.367 30 0.361 n (a) Which variable is likely the explanatory variable and which is the response variable? The explanatory variable is…arrow_forwardSolve the second onearrow_forwardCarefully read the description of the following two studies (A and B). For each study answer the following questions: Should a correlation analysis or multiple regression be used to analyze the results. Describe the basis for your answer – why did you select this test. Study A Dr. Banner want to determine whether his patients’ age is a factor in compliance with dialysis. He hypothesizes that older patients will be less compliant with dialysis. In other words, he believes the older the patient the more dialysis appointment they miss. Study B Dr. Banner’s intern does not agree. She believes there are other factors, along with age, that influence compliance such as race anxiety and mistrust of health care, side effects of treatment and issues related to culture. She wants to know who much each of these factors contribute to non-compliance.arrow_forward
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