Question 4 0/5 pts 21 Details Israel conducts research on the environmental impact of automobiles. To investigate fuel economy, he collects data on a random sample of automobiles. Israel records the weight of the car (in hundreds of pounds) and the average fuel economy (measured in mpg). The automobile data is presented below. Vehicle Weight Fuel Economy (100s/lbs) (mpg) 22.4 32.9 26.6 45.6 29.1 46.9 30.3 24.7 31.2 22.2 33.3 42.3 35.9 35.5 38 34.3 38.3 15.5 40.4 15.8 45.6 23 Download CSV a. Calculate the correlation coefficient. (Round to three decimal places.) T= Conduct a test of the significance of the correlation coefficient at a = 0.05 significance level with the following hypotheses: Ho: p = 0 HA: P0 b. What is the value of the test statistic? Round to three decimal places. c. Calculate the p-value. Round to four decimal places. p-value = d. What is the outcome of the test? Select an answer e. What is the conclusion? There is not a significant relationship between vehicle weight and fuel economy. There is a significant relationship between vehicle weight and fuel economy. The test is inconclusive. Question 3 2/5 pts 0-1 2 Details Score on last try: 2 of 5 pts. See Details for more. Get a similar question You can retry this question below Annual high temperatures in a certain location have been tracked for a sample of 6 years. Let X represent the year and Y the high temperature (in C°). x y 5 32.6 6 36 7 38.4 8 39.7 9 44.6 10 46 Calculate the correlation coefficient. (Round to three decimal places.) T=-0.926 x Let's test the significance of the correlation coefficient at a = 0.05 significance level. Ho: There is not a significant relationship between the year and high temperature, i.e., p = = 0. Ha: There is a significant relationship between the year and high temperature, i.e., p0. a. Calculate the test statistic. Round to three decimal places. t = -4.906 x 0 b. Calculate the p-value. Round to four decimal places. p-value = 0.0037 x c. Make a decision. Do not reject the null hypothesis. Reject the null hypothesis. d. Is there enough evidence to support that there is a significant relationship between the year and high temperature? No Yes Question Help: Video Submit Question PUGE ● Question 8 3.33/8 pts 1-2 2 Details Score on last try: 3.33 of 8 pts. See Details for more. Get a similar question You can retry this question below What is the relationship between the amount of time statistics students study per week and their final exam scores? The results of the survey are shown below. Time 13 3 1 6 9 11 Score 100 63 55 78 65 79 16 100 a. Find the correlation coefficient: r = -0.17 x Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: HopV H₁p088 The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. d. 72 There is statistically insignificant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the time spent studying and the score on the final exam. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. ○ There is statistically significant evidence to conclude that a student who spends more time studying will score higher on the final exam than a student who spends less time studying. e. Interpret r²: (Round to two decimal places) There is a 80% chance that the regression line will be a good predictor for the final exam score based on the time spent studying. O 80% of all students will receive the average score on the final exam. Given any group that spends a fixed amount of time studying per week, 80% of all of those students will receive the predicted score on the final exam. There is a large variation in the final exam scores that students receive, but if you only look at students who spend a fixed amount of time studying per week, this variation on average is reduced by 80%. f. The equation of the linear regression line is: y = 52.00 -2.93 × (Please show your answers to two decimal places) g. Use the model to predict the final exam score for a student who spends 9 hours per week studying. Final exam score = 26 x (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: For every additional hour per week students spend studying, they tend to score on averge 2.93 higher on the final exam. The slope has no practical meaning since you cannot predict what any individual student will score on the final. As x goes up, y goes up. : i. Interpret the y-intercept in the context of the question: The average final exam score is predicted to be 52. If a student does not study at all, then that student will score 52 on the final exam. The best prediction for a student who doesn't study at all is that the student will score 52 on the final exam. The y-intercept has no practical meaning for this study. ] Question 4 0/2 pts 21 Details Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data is shown below, Number of Pages (x) Cost(y) 573 94.95 779 130.85 831 142.65 569 105.35 899 144.85 469 91.35 847 145.05 327 58.05 859 132.85 597 95.55 Click to Copy-and-Paste Data A student calculates a linear model y = x + (Please show your answers to two decimal places) Use the model above to estimate the cost when the number of pages is 496 Cost = $ (Please show your answer to 2 decimal places.) Submit Question Question 6 Plot these points: x y 86 0.4/2 pts 21 Details 2 1 3 2 1 8 64 +10+ 9 8 7 6 5 4 32 1 -1 1 2 3 4 5 6 7 8 9 10 Clear All Draw: Submit Question

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Question 4 0/5 pts 21 Details Israel conducts research on the environmental impact of automobiles. To investigate fuel economy, he collects data on a random sample of automobiles. Israel records the weight of the car (in hundreds of pounds) and the average fuel economy (measured in mpg). The automobile data is present