Given are five observations for two variables, and y. Use the estimated regression equation: ŷ= 68.5884-2.86682. a. Compute the mean square error using equation. SSE n-2 = MSE (to 4 decimals) b. Compute the standard error 8 S Yi 3 لی 53 5 57 12 15 18 46 25 10
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- The following readings were made regarding the analysis of arsenic in water. Create a calibration chart accordingly. The slope of the line, the point where it intersects the y-axis, calculate the standard deviation of the regression. mg As3+/L Signal Xi2 yi2 (xi.yi) 0,0 0,06 5,0 1,48 10,0 2,28 15,0 3,98 20,0 4,61 ∑Xi=50,00 ∑yi=22,17 ∑Xi2= 750,00 ∑yi2= 44,48 ∑(xi.yi)=182,1Assume that variables xx and yy have a significant correlation, and that the line of best fit has been calculated as ˆy=1.4x+3.6y^=1.4x+3.6. One observation is (9,16.3)(9,16.3).What is the predicted value of yy for the value x=9x=9? What is the residual for the value x=9x=9? What is the best interpretation for the residual? The value 16.316.3 is below the average value for yy when x=9x=9 The value 99 is above the average value for yy when y=16.3y=16.3 The value 16.316.3 is above the average value for yy when x=9x=9. The value 16.316.3 is below the average value for xx when y=16.3average heigth is 163 cm, standart deviation is 10 cm. compute p(X>168 cm) ?
- A major credit card company has determined that the amount its customers charge on their accounts is normally distributed with an average of R2800 per month and a standard deviation of R200. Question 15What proportion of customers charge more than R2750 per month on their account (rounded off to three decimals)? Question 16 What percentage of customers charge between R2410 and R3016 per month (rounded off to two decimals)?For a population with a mean of u=45, a score of X=54 corresponds to z=1.50. What is the population standard deviation?The brain volumes (cm^3) of 50 brains vary from a low of 956cm^3 to a high of 1484 cm^3. Use the range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 148.9cm^3, assuming the estimate is accurate if it is within 15 cm^3. What is the standard deviation?
- In a sample of 12 randomly selected high school seniors, the mean score on a standardized test was 1182 and the standard deviation was 161.6.Further research suggests that the population mean score on this test for high school seniors is 1012. Does the t-value for the original sample fall between −t0.95 and t0.95? Assume that the population of test scores for high school seniors is normally distributed. What is The t-value? And does or does not it not fall between −t0.95 and t0.95 because t0.95=? (Round to two decimal places as needed.)The following output comes from regression using the actual HW9 scores and the Final test scores from intro stats one semester. Sample size: 50R (correlation coefficient) = 0.3658R-sq = 0.1338Estimate of error standard deviation: 10.36256Parameter estimates: Parameter Estimate Std. Err. DF T-Stat P-Value Intercept 43.558118 11.1716 48 3.899 0.0003 Slope 0.360048 0.132225 48 2.723 0.009 Assume no assumptions are violated. Form a 87% Confidence interval for how much your final is supposed to increase for each problem done on homework 9.Use 5 decimal placesThe heights(in inches) of males in the U.S. are believed to be normally distributed with mean. The average height of a random sample of 25 American adult males is found to be x̅ = 69.72 inches and the standard deviation of the 25 heights is found to be s = 4.15. the standard error of x̅ is?