Question: I need help with the questions shown in the image and c) Find the sample correlation coefficient r and the coefficient of determination.r = ___r^2

I need help with the questions shown in the image and c) Find the sample correlation coefficient r and the coefficient of determination.r = ___r^2 = ___ What percentage of the variation in y is explained by the least-squares model?___ % d) Test the claim that the population correlation coefficient p is positive at the 1% level of significance. (Round your test statistic to three decimal places and your P-value to four decimal places.) t = ___P-value = ___Conclusion - Reject the null hypothesis. There is sufficient evidence that P>0- Reject the null hypothesis. There is insufficient evidence that P>0- Fail to reject the null hypothesis. There is sufficient evidence that P>0- Fail to reject the null hypothesis. There is insufficient evidence that P>0e) In a week during which Dorothy makes 11 visits, how many people do you predict will buy insurance from her? (round your answer to one decimal) ____ people f) Find Se (Round your answer to three decimal places) Se ___g) Find a 95% confidence interval for the number of sales Dorothy would make in a week during which she made 11 visits. (Round your answers to one decimal place) lower limit ____ sales upper limit ____ sales h) Test the claim that the slope B of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places and your P-value to four decimal places) t = ___ P-value = ___Conclusion - Reject the null hypothesis. There is sufficient evidence that B>0- Reject the null hypothesis. There is insufficient evidence that B>0- Fail to reject the null hypothesis. There is sufficient evidence that B>0- Fail to reject the null hypothesis. There is insufficient evidence that B>0I) Find an 95% confidence interval for B and interpret its meaning. (Round your answers to three decimal places.) lower limit ___upper limit ____Interpretation - for each less visit made, sales increase by amount that falls outside the confidence interval.-for each less is it made, sales increase by an amount that falls within the confidence interval -for each additional visit made, sales increase by an amount that falls outside of the confidence interval-for each additional visit made, sales increase by and amount that falls within the confidence interval

I need help with the questions shown in the image and c)

Dorothy Kelly sells life Insurance for the Prudence Insurance Company. She sells Insurance by making visits to her clients homes. Dorothy believes that the number of sales should depend, to so several years, she kept careful records of the number of visits (x) she made each week and the number of people (y) who bought insurance that week. For a random sample of 15 such weeks, the x and y values follow. x 12 21 14 12 28 5 20 1 y 3 13 9 7 8 2 5 12 7 15 29 8 25 16 In this setting we have Ex = 248, Zy = 102, Ex? = 4874, Ey?= 820, and Exy = 1909. (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.) (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) Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties, 2 Us A 5:55 A O O

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