For the data set shown below, complete parts (a) through (d) below. x| 3 4 5 7 80 | 3 5 7 13 15 (a) Find the estimates of Po and B,. Po bo =O (Round to three decimal places as needed.) B, xb, =] (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for o. (Round to four decimal places as needed.) (c) Assuming the residuals are normally distributed, determine s. - (Round to three decimal places as needed.) (d) Assuming the residuals are normally distributed, test H,: B, = 0 versus H, : B, #0 at the a = 0.05 level of significance. Use the P-value approach. The P-value for this test is O. (Round to three decimal places as needed.) Make a statement regarding the null hypothesis and draw a conclusion for this test. Choose the correct answer below. O A. Reject H.. There is not sufficient evidence at the a = 0.05 level of significance to conclude that a linear relation exists between x and y. O B. Do not reject Hg. There is not sufficient evidence at the a = 0.05 level of significance to conclude that a linear relation exists between x and y. OC. Do not reject Hg. There is sufficient evidence at the a= 0.05 level of significance to conclude that a linear relation exists between x and y. O D. Reject H,. There is sufficient evidence at the a = 0.05 level of significance to conclude that a linear relation exists between x and y.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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