GE | MINDTAP Homework 7 (Chapter 14) - Part A C Given are five observations for two variables, and y. Use the estimated regression equation:= 80.7645 - 3.4625x. a. Compute the mean square error using equation. SSE =MSE= ८-५ (to 4 decimals) b. Compute the standard error of the estimate using equation. =VMSE SSE (to 4 decimals) c. Compute the estimated standard deviation of by using equation. SH 5 40398537963&elSBN 9780357984482&id=2158934067&snapshotid=4099227& 5 8 11 16 18 Y 57 58 48 24 16 (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.05): Ho: 8=0 H 8.0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is Select your answer - What is your conclusion? We Select your answer - Ho. e. Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Source Complete the table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals), and the p-value (to 4 decimals). Degrees Sum of of Variation of Freedom Squares Regression Error Total Mean Square P-value What is your conclusion, based on this P test? We Select your answer - Ho Icon Key LJ G acer >

Can the average rate of change of a function be constant?

Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4

Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, report the regression equation. 1)  (cost of delivery) = 1.468*(weight) - 23.015   2)  (weight) = -23.015*(cost of delivery) + 1.468   3)  (cost of delivery) = -23.015*(weight) + 1.468   4)  (cost of delivery) = 1.468*(weight)   5)  (weight) = 1.468*(cost of delivery) - 23.015

The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent 2-year periods are shown in the table. The equation of A the regression line is y = 0.952x+20.570. Find the standard error of estimates, and interpret the result. Money ralsed, x Money spent, y 460.5 434.1 651.5 689.3 Find the standard error of estimate s and interpret the result. (Round to three decimal places as needed.) 738.8 735.3 780.3 755.8 781.2 732.5 1025.3 1011.3 950.6 929.9 1205.2 11554

The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x�^=�0+�1�. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 7171 6262 7878 9494 8383 8181 8080 9494 8585 6262 Grades on Final 8888 7979 8888 9191 8080 7070 7171 9393 6565 7777

please only answer the last part "Suppose that real income per capita in New Jersey increases by​ 1% in the next year. Use the results in column​ (4) to predict the change in the number of traffic fatalities in the next year. "

Using the data below, determine the value of the slope B, in the linear regression line ŷ = B, + B1x. Give your answer to three decimal places. 2Ti = 1079, 4 = 1100, } = 67070 u? = 74908, C;Yi = 67546, n = 20

The slope of a regression line tells you how much or little a change in your dependent variable impacts your independent variable. O TrueO False