I need help with drawing the scatter diagram as shown in the image and few questions now shown in the image c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = ___ r2 = ____ 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 not zero at the 10% 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 ? differs from 0. - Reject the null hypothesis, there is insufficient evidence that p differs from 0. -Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0 - Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. (e) For a neighborhood with x = 23% change in population in the past few years, predict the change in the crime rate (per 1000 residents). (Round your answer to one decimal place.) _____ crimes per 1000 residents (f) Find Se. (Round your answer to three decimal places.) Se = ___ (g) Find an 90% confidence interval for the change in crime rate when the percentage change in population is x = 23%. (Round your answers to one decimal place.) lower limit ____ crimes per 1000 residents upper limit ___ crimes per 1000 residents (h) Test the claim that the slope ? of the population least-squares line is not zero at the 10% 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 ? differs from 0. -Reject the null hypothesis, there is insufficient evidence that ? differs from 0. -Fail to reject the null hypothesis, there is sufficient evidence that ? differs from 0. -Fail to reject the null hypothesis, there is insufficient evidence that ? differs from 0. (i) Find an 90% confidence interval for ? and interpret its meaning. (Round your answers to three decimal places.) lower limit ___ upper limit ____ Interpretation -For every percentage point increase in population, the crime rate per 1,000 increases by an amount that falls outside the confidence interval. -For every percentage point increase in population, the crime rate per 1,000 increases by an amount that falls within the confidence interval. -For every percentage point decrease in population, the crime rate per 1,000 increases by an amount that falls within the confidence interval. -For every percentage point decrease in population, the crime rate per 1,000 increases by an amount that falls outside the confidence interval

Let x be a random variable representing percentage change In neighborhood population In the past few years, and resenting crime rate (crimes per 1000 population) A random sample of Six is gave the following Information. 29 y 177 31 132 127 69 53 17 In this setting we have Ex = 72, Zy = 589, Xx? = 1340, Ey? = 73,413, and Exy = 9607. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to tyro decimal places. Round your least-squares estimates to four decimal places.) x = 12 y =|98.17 b= 5.3340 = 34 1583 5.3340 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 Point 1 Point 2 Port 3 > Point 4 * Point 5 Point 6 2 Us 10:23 A O O