For a data set of 10 values of x and y, the value of SSw = 83, the standard deviation of errors for the regression of y on x is 2.867, and the value of b is 1.63. For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

Calculus For The Life Sciences
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ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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For a data set of 10 values of x and y, the value of SS = 83, the standard deviation of errors for the regression of y on x is 2.867, and
the value of b is 1.63.
For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero
and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%.
What is the value of the test statistic, t, rounded to three decimal places?
i
Transcribed Image Text:For a data set of 10 values of x and y, the value of SS = 83, the standard deviation of errors for the regression of y on x is 2.867, and the value of b is 1.63. For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places? i
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