7. You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n=18, you determine that b1=4.4 and Sb1=1.7.
a. What is the value of tSTAT?
b. At the α=0.05 level of significance, what are the critical values?
c. Based on your answers to (a) and (b), what statistical decision should you make?
d. Construct a 95% confidence interval estimate of the population slope, β1.
8. You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n=20, you determine that SSR=60 and SSE=20.
a. What is the value of fSTAT?
State the hypotheses to test.
b. At the α=0.05 level of significance, what is the critical value?
c. Based on your answers to (a) and (b), what statistical decision should you make?
d. Compute the correlation coefficient by first computing r2 and assuming that b1 is negative.
r2 = ______
r = ______
e. At the 0.05 level of significance, is there a significant correlation between X and Y?
Determine the null and alternative hypotheses for this test.
Find the test statistic, tSTAT.
Determine the critical values of t.
Is there significant correlation between X and Y?
7. You are testing the null hypothesis that there is no linear relationship between two variables,...
ou are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of you n=20 determine that SSR= 80 and SSE=20. What is the value of FSTAT? At the a= 0.05level of significance, what is the critical value? Compute the correlation coefficient by first computing r^2 and assuming the b1 is negative. r^2= r= Find the test statistic tSTAT= Determine the critical values of t. The lower critical value is The upper...
You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. You are given the following regression results, where the sample size is 10., Coefficients Standard Error Intercept -1.2 1 X 2 2 a) What is the value of the t test statistic? b) At the α = 0.05 level of significance, what are the critical values? c) Based on your answer to (a) and (b), what statistical decision should you make?
You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 10 , you determine that r=0.55 . a. What is the value of t Subscript STATt? b. At the alpha=0.05 level of significance, what are the critical values?
You are testing the null hypothesis that there is no relationship between two variables, X and Y. From your sample of n = 22, you determine that SSR = 80 and SSE = 20. Construct the ANOVA table, test for model significance at a 0.05 level of significance and state your conclusion, and calculate the coefficient of determination and interpret its meaning.
Score: 1.14 of 4 pts 9 of 10 (10 complete) HW Score: 64.05 7x 12.7.40-T You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 18, you determine that by = 4.6 and Sp. = 1.6. a. What is the value of tSTAT? b. At the a = 0.05 level of significance, what are the critical values? c. Based on your answers to (a) and (b),...
1) Suppose that you are interested in the relationship between the return rate on a stock in 2010 compared to the return rate in 2009. You believe that the return rates in both years are positively correlated. A sample of 15 stocks yields the following regression results: b0= 5.3, b1= 1.04, s= 1.79, s = 0.2163, R2 = 0.64, and MSE = 35.4. Calculate the regression sum of squares. What is the correlation coefficient for the stock returns of the...
Use software to test the null hypothesis of whether there is a relationship between the two classifications, A and B, of the 3×3 contingency table shown below. Test using α=0.01. NOTE: You may do this by hand, but it will take a bit of time. B1 B2 B3 Total A1 40 68 55 163 A2 40 44 77 161 A3 64 71 63 198 Total 144 183 195 522 (a) χ2= (b) Find the degrees of freedom. (c) Find the...
"In Problems 9.52 and 9.53, suppose you are testing the null hypothesis H0:π=0.20H0:π=0.20against the two-tail alternative hypothesis H1:π≠0.20H1:π≠0.20and you choose the level of significance α=0.10.α=0.10. What is your statistical decision?" Zstat=1 P=0.22
A recent study by the World Bank wished to determine whether there was a relationship between the abundance of natural resources in a country and its long term rate of economic growth. Their study used 40 (n) countries over a long period to 1995. Letting Y be the rate of growth measured as a percentage and X be a measure of natural resource abundance, the following relationship between the two variables was estimated. Standard errors of b0 and b1 are...
A recent study by the World Bank wished to determine whether there was a relationship between the abundance of natural resources in a country and its long term rate of economic growth. Their study used 65 (n) countries over a long period to 1995. Letting Y be the rate of growth measured as a percentage and X be a measure of natural resource abundance, the following relationship between the two variables was estimated. Standard errors of bo and b1 are...