he following observations are obtained from a random sample of 10 individuals: Individual x y 1...

he following observations are obtained from a random sample of 10 individuals: Individual x y 1 9.47 5.24 2 4.21 3.04 3 6.63 4.58 4 10.7 5.73 5 8.52 4.11 6 10.1 5.57 7 4.92 3.60 8 8.28 5.77 9 7.58 4.30 10 9.21 5.01 Run a t-linear regression test on this data. (HINT: make sure you copy the numbers correctly!) What are the appropriate null and alternative hypotheses? H0:ρ=0H1:ρ<0 H0:ρ=0H1:ρ>0 H0:r=0H1:r>0 H0:r=0H1:r<0 H0:r=0H1:r≠0 H0:ρ=0H1:ρ≠0 What is the correlation coefficient? Round to 4 decimals. Number What is the coefficient of determination? Round to 4 decimals. Number Calculate the value of the test statistic. Round your response to at least 2 decimal places. |t|= Number What is the corresponding P-value for the test statistic? Round your response to at least 6 decimal places. Number Make a decision (hint: when in doubt, use the α=.05 significance level) Since α P, we the null hypothesis Help write a summary of the results of this hypothesis test: enough evidence in this sample to conclude there is a between the variables X and Y at the α= significance level because P= Number . What is the equation of the Regression line? Round the values to 4 decimal places y^= Number ⋅x+ Number

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orchestra answered 2 years ago

A random sample of two variables, x and y, produced the following observations: x y 19...

A random sample of two variables, x and y, produced the following observations: x y 19 7 13 9 17 8 9 11 12 9 25 6 20 7 17 8 Compute the correlation coefficient for these sample data. Group of answer choices a. -0.9707 b. -0.2141 c. 0.5133 d. 0.8612

A) The following observations are obtained when a random sample is drawn from a normally distributed...

A) The following observations are obtained when a random sample is drawn from a normally distributed population: [7.472, 37.89, 21.32, 25.99, 15.8] Use this information to test the null hypothesis H0:σ2=60 against the alternative hypothesis HA:σ2>60. a) What is the value of the test statistic χ2? Round your response to at least 3 decimal places. b) The P-value falls within which one of the following ranges: A P-value > 0.10 B 0.05 < P-value < 0.10 C 0.025 < P-value...

1. The following 10 observations are a random sample from a normal population. 7.4 7.1 6.5...

1. The following 10 observations are a random sample from a normal population. 7.4 7.1 6.5 7.6 6.3 7.2 8.1 6.8 7.1 7.5 a) Find the mean and standard deviation of this data. b)(5marks)TestH0: μ=7.4versusH1: μ<7.4atα=0.05.

The data resulting from a random sample of 5 observations are shown below. Y is the...

The data resulting from a random sample of 5 observations are shown below. Y is the dependent variable, and X1 and X2 are the independent variables. Observation Y X1 X2 1 87 95 11 2 86 94 11 3 84 94 11 4 83 93 12 5 84 93 12 Use Excel's Regression tool to answer the following questions. To copy the data set, highlight the table, press Ctrl-c, click on the Excel cell to which you want to copy,...

Suppose that X and Y are random samples of observations from a population with mean μ...

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You are given the following information obtained from a sample of 5 observations taken from a...

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A simple random sample of 10 paired values (x,y) yields the following statistical calculations: ∑x=84, ∑y=601,...

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The following 84% for u was obtained from a sample of 18 observations (the population varience...

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The following sample observations were randomly selected: X) 6 5 4 6 10 Y) 4 ...

The following sample observations were randomly selected: X) 6 5 4 6 10 Y) 4 6 5 2 11 a.) Determine the 0.95 confidence interval for the mean predicted when x=9. [ , ] b.) Determine the 0.95 prediction interval for an individual predicted when x=9 [ , ]

Below are the values for two variables x and y obtained from a sample of size...

Below are the values for two variables x and y obtained from a sample of size 5. We want to build a regression equation based the sample data. ŷ = b₀ + b₁x y x 16 5 21 10 8 6 28 12 53 14 11 On average the observed y deviate from the predicted y by, a 10.73 b 10.04 c 9.53 d 8.76 12 Sum of squares total (SST) is, a 1096.3 b 1178.8 c 1296.7 d 1361.5...

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