is there a relationship between the soduun content of a hot dog and the number of calories the hot dog has? To investigete this, a nutritionist rardomly picked n=55 hot dog wieners al of which were the same size. For each hot dog wienar the sodum content (in milligrams) was meatured and the number of calories each coetainved, after cooking. The nutritionist warts is estimate the statistical model Yi=p0+s1X4+c4 where Y4 repcesents the caloric content, or the number of calories, of hot dog wiener t, and X4 represents the sodium content (in miligrams) of hot dog wiener i. The data appears in the csw fle. Open this file, then copy and-piste the columns into the statistical software. (a) Using the statistical safmare, graph the bivariate data. What can you say about nature of the rolationstip betwoen the sodern content of a hotdog wiener and the caloris costent of the hot dog wiener? There is exists a relanionship between the sodium eantent of a hotdeg wiener and iss caloric content. (b) Compule the correlation betieen a hot dog wienors sodium and caloeic content. T= (use four decimals in your answer) (c) Fit in the blaniss to estimate the statistical model. For each fivid, use three decimuln. Yi=+0xi (d) A residual plot appears below (e) What percent of the variation in the caloric content of a hot dog wiener is explained by its linear relationship with its sodium content? Enter your answer as a %. % (use two decimals) (f) Does the data support the statistical model? Select the appropriate statistical hypotheses. A. H0:1=0HA:10HA1=0 c. H0:0=0H4:0>0 D. H0:0=0HA:0=0 E. H0:0=0HA:00 (g) Find the value of the test statistic that is based on the random behaviour of ^1, and the P-value that is used to test the null hypothesis in part (f). Test Statistic = rUse three decimals in your answer) P-value = (Use SIX decimals in your answer) (h) Complete the statement below, In doing so, use three decimals in your answers. I am 95% confidence that as the sodium content of a hot dog wiener increases by 1 milligram, the mean carolic content of the hot dog wiener will by somewhere between calories and calories. (i) A particular hot dog wiener has 142 milligrams of sodium. With 95% confidence, estimate the mean carolic content of all hot dog wieners that have 142 milligrams of sodium. Use one decimal in your answers.