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- By how many times does the sample size have to be increased to decrease the margin of error by a factor of 1/9?(type a whole number) What is the general relationship, if any, between the sample size and the margin of error? A. Increasing the sample size by a factor M results in the margin of error decreasing by a factor of StartFraction 1 Over StartRoot Upper M EndRoot EndFraction1M. B. Increasing the sample size by a factor M results in the margin of error decreasing by a factor of StartFraction 1 Over Upper M EndFraction1M. C. Increasing the sample size by a factor M results in the margin of error decreasing by a factor of StartFraction 1 Over Upper M squared EndFraction1M2. D. There is no relationship between the sample size and the margin of error.The price (in rands) in June of a 1 kg packet of laundry in KwaDukuza is shownis shown below for each 5 years.Year 2016 2017 2018 2019 2020Price 17.8 29.6 41.1 46.3 46.52.2.1 Find the percentage increase in the price of laundry detergent between eachperiod. (2)2.2.2 Use the 4 percentages in question 2.2.1 above, to calculate the overall geometricmean percentage increase in the price of laundry detergent each year. (3)2.2.3 Interpret the geometric mean calculated in 2.2.2 above.A researcher want to know if there is a relationship between sleep and anxiety. The researcher randomly selected n = 5 participants and asked each to rate their sleep quality and anxiety level on a scale of 1 to 5. The data are below: Sleep X Anxiety Y 2 2 3 3 2 2 4 2 5 2 Calcuate the Sum of Products (SP).
- A researcher wanted to know if there was a relationship between stress and frustration. Theresearcher recruited n = 5 participants and asked them to solve a difficult puzzle in a short timeperiod. She then asked each participant to rate how stressful the task was and how frustratedthey were to solve the puzzle on a scale of 1 to 5. The data are below: Stress (X) Frustration (Y) 2 1 2 2 3 4 3 4 3 5 Calculate the sum of productsFind the z-score that cuts off 65% in the body on the left. (Hint: if you can’t find that EXACT percentage on the table, then there should be two VERY CLOSE numbers, one just under the percentage you’re looking for, and one just over it. Either one of those two is fine—so just pick the one that appears in the answer options below). Group of answer choices Z = -0.39 Z = +1.29 Z = -1.29 Z = +0.39Baby Sofia is 6 months old. Her father takes her to her medical appointment at his neighbourhood family clinic. After Sofia is measured, her father is informed that she measures 68 cm, like 5 other babies who visit this clinic. In addition, he is told that 40 babies are bigger than her and that a total of 185 babies are being followed at the clinic. m What is Sofia's percentile rank at this clinic in relation to her height?
- x (Weeks) y (Price($)) 5 34.24 6 29.12 7 30.1 8 24.68 9 25.36 10 23.84 11 19.02 12 18 (a) Based on the data shown above, compute the correlation coefficient accurate to three decimal places.r=r= (b) Find the proportion of the variation in Price that can be explained by the variation in the values of Weeks.Report your answer as a percentage accurate to one decimal place. (Example: If the answer is 0.1234, you would enter 12.3 without the percent symbol.)r2=r2= %Also: Fail to reject H₀. These data indicate a significant difference in estimated speed between the two groups. Reject H₀. These data indicate a significant difference in estimated speed between the two groups. Reject H₀. These data do not indicate a significant difference in estimated speed between the two groups. Fail to reject H₀. These data do not indicate a significant difference in estimated speed between the two groups. Compute r² to measure effect size.Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained. x 6.5 5.3 3.9 5.2 6.2 6.5 11.1 y −1.7 −4.5 −6.4 −4.0 3.6 −0.1 −4.4 given Σx = 44.7, Σy = −17.5, Σx2 = 316.49, Σy2 = 112.43, Σxy = −107.83, and r ≈ 0.0849. Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.) x = y = y = ___+____ x Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
- In a scatterplot of two variables x and y, the correlation is positive. A particular point has an x value that is greater than the median but less than the 60th percentile. The regression effect means that we can immediately eliminate which of the following values as possible answers for the predicted percentile rank for y we get using the regression line? Check all that apply. Group of answer choices 60 50 65 45 55Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained. x 6.1 5.4 3.7 5.2 6.2 6.5 11.1 y −1.1 −4.5 −6.2 −4.0 3.6 −0.1 −4.4 Complete parts (a) through (e), given Σx = 44.2, Σy = −16.7, Σx2 = 311, Σy2 = 108.23, Σxy = −101.92, and r ≈ 0.0755. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.) x = 6y = ^ y = _____ + ______ xAnswer need ASAP X Y 4 5 3 3 5 4 2 4 5 6 3 5 6 4 4 3 4 5 Using the table above ( show all your work including formulas and table) Predict the value of Y if X is given as 7 What is the percentage of fluctuations in Y explained by X? Estimate the correlation between Y and X