5. The following output from R presents the results from computing a linear model. In our data example we are interested to study the relationship between TV budget and sales This R output is for a simple data set that contains, in thousands of dollars, TV budget for 200 different markets along with the Sales, in thousands of units, for each market. summary (model1) ## ## Call: ## Lm (formula = Sales TV, data = train) ## ## Residuals: ## Min 10 Median 30 Маx ## -8.5816 -1.7845 -0.2533 2.1715 6.9345 ## ## Coefficients: ## Estimate Std. Error t value Pr(>|t|) ## (Intercept) 6.764098 0.607592 11.13 <2e-16 *** ## TV 0.050284 0.003463 14.52 <2e-16 *** ## -- ## Signif. codes: 0 '*o*' 0.001 '**' 0.01 '*' 0.05 '.' 0.1'' 1 ## ## Residual standard error: 3.204 on 120 degrees of freedom ## Multiple R-squared: 0.6373, Adjusted R-squared: 0.6342 ## F-statistic: 210.8 on 1 and 120 DF, p-value: < 2.2e-16 confint (model1) ## 2.5 % 97.5 % ## (Intercept) 5.56110868 7.96708701 ## TV 0.04342678 0.05714057 a. Test at a 5% significance level whether B, is negative.

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The table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams Vitamin C content in mg 55 11.9 60 13.7 65 15.9 70 18.5 75 20.8 80 23 85 25.8 A) Find the regression equation: places y= + Round your answers to 3 decimal B) Answer the following questions using your un-rounded regression equation. If we test 115 grams of raspberries what is the expected Vitamin C content? nearest tenth) mg (round to the

How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 20 26 y 60 95 140 160 189 (a) Make a scatter diagram of the data and visualize the line you think best fits the data.   Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website.   (b) Would you say the correlation is low, moderate, or strong?  low moderate     strong Would you say the correlation is positive or negative?  positive negative     (c) Use a calculator to verify that          x = 67,           x2 = 1265,           y = 644,           y2 = 93,546,  and          xy = 10,544.  Compute r. (Round your answer to three decimal places.)  As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer.  Given our value of r, y should…