You may need to use the appropriate technology to answer this question. price for the DJIA and the S\&. 500 for 15 weeks of a certain year follow. (a) Develop a scatter chart for these data with DJIA as the independent variable. What does the scatter chart indicate about the relationship between DJIA and S\&P 500 ? The scatter chart indicates there may be a positive linear relationship between DJIA and S\&P 500. The scatter chart indicates there may be a negative linear relationship between DJIA and S\&P 500. The scatter chart indicates there may be no noticeable linear relationship between DJIA and S\&P 500. (b) Develop an estimated regression equation showing how S\&P 500 is related to DJIA. What is the estimated regression model? (Round your numerical values to two decimal places. y^= (c) What is the 95% confidence interval for the regression parameter 1 ? (Round your answers to three decimal places.) to Based on this interval, what conclusion can you make about the hypotheses that the regression parameter 1 is equal to zero? Because this interval include zero, we the hypothesis that 1=0. (d) How much of the variation in the sample values of S\&P 500 (in \%) does the model estimated in part (b) explain? (Round your answer to two decimal places.) % (e) Suppose that the closing price for the DJIA is 13,800. Estimate the closing price for the S\&P 500. (Round your answer to the nearest integer.)