Develop the estimated regression equation (to decimals). Enter negative values as negative numbers. c. Test for a significant relationship. Use . The -value is - Select your answer -greater thanless than or equal toItem 4 . Conclusion: - Select your answer -not significant relationshipsignificant relationshipItem 5 d. Did the estimated regression equation provide a good fit? - Select your answer -YesNoItem 6 e. Suppose that the closing price for the DJIA is . Predict the closing price for the S&P (to nearest whole number).
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To develop the estimated regression equation and test for a significant relationship, we will follow these steps: Show more…
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For the computations regarding correlation coefficient and regression line equation, use an Excel spreadsheet. For hypothesis testing, use a 5% level of significance. Choices for number 1: -0.915 -0.871 -0.894 -0.922 Choices for number 2: moderate negative correlation strong negative correlation weak negative correlation negligible negative correlation Choices for number 3: No. Since the absolute value of the computed test statistic is less than the absolute value. No. Since the absolute value of the computed test statistic is greater than the absolute value. Yes. Since the absolute value of the computed test statistic is less than the absolute value. Yes. Since the absolute value of the computed test statistic is greater than the absolute value. Choices for number 4: Y = 2.198 - 65.901X Y = 65.901 + 2.198X Y = 65.901 - 2.198X No equation since regression analysis is not recommendable Choices for number 5: 36.26 35.13 34.17 37.48
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Step 1 of 6: Find the estimated slope. Round your answer to three decimal places. Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places. Step 3 of 6: Find the estimated value of y when x=31. Round your answer to three decimal places. Step 4 of 6: Determine the value of the dependent variable y-hat at x=0. Step 5 of 6: Find the error prediction when x=31. Round your answer to three decimal places. Step 6 of 6: Find the value of the coefficient of determination. Round your answer to three decimal places. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Price in Dollars 23 26 31 40 48 Number of Bids 3 4 6 7 9
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For a sample of 20 monthly observations, a financial analyst wants to regress the percentage rate of return (Y) of the common stock of a corporation on the percentage rate of return (X) of the Standard & Poor's 500 index. The following information is available: Σ[i=1 to 20] yi = 22.6 Σ[i=1 to 20] xi = 25.4 Σ[i=1 to 20] xi² = 145.7 Σ[i=1 to 20] xiyi = 150.5 Σ[i=1 to 20] yi² = 196.2 a. Estimate the linear regression of Y on X. b. Interpret the slope of the sample regression line. c. Interpret the intercept of the sample regression line. d. Test the null hypothesis that the slope of the population regression line is 0 against the alternative that it is positive. e. Test against the two-sided alternative the null hypothesis that the slope of the population regression line is 1.
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