A sociologist is interested in the relation between x-number of job changes and y- annual salary (in thousands of dollar

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A Sociologist Is Interested In The Relation Between X Number Of Job Changes And Y Annual Salary In Thousands Of Dollar 1 (66.56 KiB) Viewed 27 times

A sociologist is interested in the relation between x-number of job changes and y- annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information. 6 4 6 1 5 9 (number of ich channes) Y(Salary in $1000) 5 10 10 3 36 35 37 32 32 38 37 40 33 LAUSE SALT In this setting we have Ex-59, Iy-363, zx² - 429, zy² = 13,289, and Exy - 2208. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.) y= (b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (x,y). 44 42 40 38 36 34 32 30 00 y 44 42 42 40 40 Ak 38 38 36 36 34 34 32 30 10 0 2 8 10 2 00 8 8 0 10 (c) Find the sample correlation coefficient and the coefficient of determination. (Round your answers to three decimal places.) What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) (d) Test the claim that the population correlation coefficient is positive at the 5% level of significance. (Round your test statistic to three decimal places.) Find or estimate the P-value of the test statistic. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.100 < P-value < 0.125 O 0.075 < P-value < 0.100 O 0.050 < P-value < 0.075 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O 0.0005 < P-value < 0.005 OP-value < 0.0005 Condusion O Reject the null hypothesis. There is sufficient evidence that p > 0. O Reject the null hypothesis. There is insufficient evidence that p > 0. O Fail to reject the null hypothesis. There is sufficient evidence that p > 0. O Fail to reject the null hypothesis. There is insufficient evidence that p > 0. ہتے ہم نے حمر 44 42 40 38 36 34 32 30 2 00 4 8 10 x
(e) If someone had x= 10 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) thousand dollars (f) Find S. (Round your answer to three decimal places.) 5,- (g) Find a 90% confidence interval for the annual salary of an individual with x 10 job changes. (Round your answers to two decimal places.) lower limit thousand dollars thousand dollars upper limit (h) Test the daim that the slope of the population least-squares line is positive at the 5% level of significance. (Round your test statistic to three decimal places.) Find or estimate the P-value of the test statistic. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.100 < P-value < 0.125 O 0.075 < P-value < 0.100 0 0.050 < P-value < 0.075 O 0.025 <value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < value < 0.010 O 0.0005 P-value < 0.005 O P-value < 0.0005 Condusion O Reject the null hypothesis. There is sufficient evidence that > 0. O Reject the null hypothesis. There is insufficient evidence that > 0. O Fail to reject the null hypothesis. There is sufficient evidence that > 0 O Fall to reject the null hypothesis. There is insufficient evidence that > 0. (1) Find a 90% confidence interval for and interpret its meaning. (Round your answers to three decimal places.) lower limit upper limit Interpretation O For each additional job change, the annual salary increases by an amount that falls outside confidence interval. O For each less job change, the annual salary increases by an amount that falls within the confidence interval. O For each less job change, the annual salary increases by an amount that falls outside the confidence interval. O For each additional job change, the annual salary increases by an amount that falls within the confidence interval.