MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- If r=0.15 then what is the value of the
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- 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_forwardLet x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in milligrams per 10 milliliters (mg/10 ml). A random sample of eight adults gave the following information. Ex = 63.9; Ex2 = 523.59; Ey = 89.4; Ey = 1040.08; Exy = 730.31 8.1 14.2 6.2 8.6 7.0 7.5 6.8 10.0 9.7 9.3 10.4 10.5 11.7 7.0 14.1 12.2 (a) Find the equation of the least-squares line. (Round your answers to three decimal places.) ŷ =arrow_forwardDetermine whether the given correlation coefficient is statistically significant at the specified level of significance and sample size. r=0.435, α=0.01, n=24 can you explain the formula, please? I saw another example but they were using a 2 value in the formula and I want sure where the 2 came from.arrow_forward
- Hypertension It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample of 170 of each gender was selected from recent hospital records, and the following results were obtained. Can you conclude that a higher percentage of women have high blood pressure? Use a=0.01. Men 46 patients had high blood pressure Women 61 patients had high blood pressure Use P1 for the proportion of men with high blood pressure and round all intermediate calculations to at least three decimal places. Part 1 of 5 (a) State the hypotheses and identify the claim with the correct hypothesis. Ho:P, not claim H : P, < P2 claim This hypothesis test is a one-tailed Part 2 of 5 (b) Find the critical value(s). Round the answer(s) to two decimal places. there is more than one critical value, separate them with commas. Critical value(s):-2.33| Part: 2 / 5 Part 3 of 5 (c) Compute the test value. Round the intermediate calculations…arrow_forward3. A statement is made about correlation. State whether the correlation is positive or negative and whether the correlation is most likely due to coincidence, a common underlying cause, or a direct cause. If there is an underlying cause, state what the underlying cause is. If one directly causes the other, state which is the cause and which is the effect. (a) In Angela's class, the taller students got lower scores on the test. (b) As Thomas's income rose over the last 20 years so has his stress level.arrow_forwardHypertension It has been found that 26% of men 20 years and older suffer from hypertension (high blood pressure) and 31.5% of women are hypertensive. A random sample of 171 of each gender was selected from recent hospital records, and the following results were obtained. Can you conclude that a higher percentage of women have high blood pressure? Use a = 0.10. Men 44 patients had high blood pressure Women 58 patients had high blood pressure Use p, for the proportion of men with high blood pressure and round all intermediate calculations to at least three decimal places.arrow_forward
- What is the null hypothesis of a test for correlation? There is correlation in the population. There is positive correlation in the population. There is no correlation in the population. There is negative correlation in the population.arrow_forward5. The correlation coefficient is r = (Round to the nearest hundredth.) eckarrow_forwardPlease write clearly. Thank you.arrow_forward
- SA3535 6) The following data gives the distribution of scores of 10 students in mathematics and statistics in a test. Find the correlation coefficient r (X,Y). Scores in Mathematics(X): 28 30 27 38 28 Scores in Statistics (Y): 40 26 27 28 34 a) - 0.315 o b) -0.153 c) O - 0.351 d) - 0.531 4 26 39 37 36 38 32 26 27 37 26 Warrow_forwardresearcher would like to examine the effect of fertilizer on flower growth. She obtains several flowers. She randomly assigns half the plants to the no fertilizer condition. The other half of the plants receive fertilizer. She monitors their growth for a month. She then compares the amount of growth of the two sets of plants. Is there a difference in growth between the no fertilizer and the fertilizer conditions? Use the .05 level of significance. In addition, find Cohen’s d and state what the effect size is in a sentence. Growth Rating No Fertilizer 40,21,27,30, 47 Fertilizer 46,25, 24, 38, 53arrow_forwardThe degrees of freedom of correlation test is determined by what?arrow_forward
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