JUST QUESTION 14 PLEASE Here are some formulas to help:ΣΧΣΥEx}(EY)²SPSP = E XY -SS =Ex² –SS, = EY²-r =VSSx SSy%3DnNUse this set of data to answer questions #1 - #17. You are conducting a correlational study.ParticipantYXYX2Y2A24В13C33E42F4G1. What is your null hypothesis? (in statistical notation)2. What is your null hypothesis? (in words)3. What is your alternative hypothesis? (in statistical notation)4. What is your alternative hypothesis? (in words)5. How many participants are in your study?6. What is the value of Sum of Products (SP)? (SHOW YOUR WORK)7. What is the value of SSx? (SHOW YOUR WORK)8. What is the value of SSy? (SHOW YOUR WORK)9. Calculate the Pearson Correlation Coefficient (r): (SHOW YOUR WORK)10. Sketch a scatterplot for these data:|11. How many degrees of freedom (df) are in this study?12. If you are doing a two-tailed test and alpha = .05, find the critical value of r from the table:13. What is your decision regarding the null hypothesis? Reject or Fail to Reject14. How did you make the determination in Question #13?

Using the given figure, we need to given reason of determination made decision in question #13.

Answered: 14. How did you make the determination…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
In a partially destroyed laboratory, record of an analysis of correlation, data, the following results only are legible:Variance of X=9. Regression equation: 8X –10Y + 66=0, 40X–18Y = 214.(1) the mean value X and Y,(2) the correlation coefficient between X and Y, and (3) the standard deviation of Y ?
Cou run a regression analysis on a bivariate set of data (n = obtain the regression equation 39). With 24.8 and = 43.4, you y = 2.058z - 27.113 with a correlation coefficient of r = 0.251. You want to predict what value (on average) for the response variable will be obtained from a value of 180 as the explanatory variable. What is the predicted response value? y = 343.3 (Report answer accurate to one decimal place.)
Suppose that you run a correlation and find the correlation coefficient is -0.256 and the regression equation is ˆy=−5.8x+56.92 . The means of your data were x=6.9 and y=17.4If the critical value is .606, use the appropriate method to predict the y value when x is 5.4
For the data below, the Pearson correlation coefficient between y and x^2 isA. 0.913B. 0.985C. 0.990D. 0.873
Two variable are found to have a strong positive linear correlation. Pick the regression equation that best fits this scenario. y = -0.34x + 25 y = 0.84x25 Oy = -0.84x + 25 Oŷ = 0.34x - 25
In the regression modelY = β0 + β1X1 + β2X2 + εthe extent of any multi collinearity can be evaluated by finding the correlation between X1 and X2 in the sample. Explain why this is so.
Exercise 2 Age B.P |(x) Age B.P (y) (y) |(x) 20 120 46 128 The following are the age (in years) and systolic blood pressure of 20 apparently healthy adults. 43 128 53 136 63 141 60 146 26 126 20 124 53 134 63 143 31 128 43 130 58 136 26 124 46 132 19 121 58 140 31 126 70 144 23 123
If two regression coefficients bxy = 0.72 and byx = 0.55, Find the correlation coefficient (r) ? Round to 3 decimals.
Two variables have the regression lines 3x + 2y = 26 and 6x + y = 31. Find the mean values, the correlation coefficient between x and y and the ratio of variances of the variables.
A correlation of r=1.2 is not possible? Define?

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