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 Ccontent in mg50 9.460 13.970 18.380 22.890 27100 31.7110 37.2A)  Find the regression equation:     𝑦= 𝑥+   Round your answers to 3 decimal places B)  Answer the following questions using your un-rounded regression equation.  If we test 140 grams of raspberries what is the expected Vitamin C content?   𝑚𝑔 (round to the nearest tenth)

Bone mineral density and cola consumption has been recorded for a sample of patients. Let 𝑥 represent the number of colas consumed per week and 𝑦 the bone mineral density in grams per cubic centimeter. Based on the data shown below answer the questions rounding your final answers to four decimal places.(a) Create a scatter plot with linear regression line for the data. (2 points)y = x + (b) Interpret the slope of the regression equation in a complete sentence.

Situation: The Ipod Touch has been out for many years now and a lot of data has been collected.Relevant Relationship:There is a functional relationship between Price of an IPod Touch,𝑝 and Weekly Demand,𝑠.Below is a table of data that have been collectedPrice,𝑝,($) Weekly Demand,𝑠,(1,000s)150 208170 199190 200210 184230 182250 176A. Find the linear model that best fits this data using regression and enter the model below(for entry round the linear parameter value to nearest 0.01 and constant parameter to nearest 1)𝑠=  B. The squared correlation coefficient was 0.95(note: values less than 0.95 MAY mean the model is not appropriate for making predictions)Now answer these two questions using the UNROUNDED model parametersC. What does the model predict will be the weekly demand if the price of an ipod touch is $246 ? (nearest 100)D. According to the model at what should the price be set in order to have a weekly demand of 179,800 ipod Touches? $ (nearest $1)

Question 41 ptsUse the data given below to answer the following question(s).Following is an extract from the database of a construction company. The table shows the heightof walls in feet and the cost of raising them. The estimated simple linear regression equation isgiven as Ŷ = b0 + b1X. (Hint: Use Excel functions).What is the estimated cost of raising a 10-inch wall?Group of answer choices1505.7861103.578968.61091123.008

Find the equation for the least squares regression line of the data described below.A food scientist wants to understand how much sugar children like in their desserts. He sets up a study where children taste cups of vanilla pudding with varying sweetness and rate each cup on a scale of 1 to 10, where 10 is excellent.For each tasting, the food scientist writes down the grams of sugar in the pudding cup, x, as well as its rating, y.Grams of sugar Rating10 318 221 924 627 9Round your answers to the nearest thousandth.

You know that there is a strong correlation between the consumption of ice cream and body weight. The Pearson's r = 0.78. You also know that the average consumption of ice cream per week is five grams with a standard deviation of 1.5 grams. The average weight is 65 kg with a standard deviation of 15 kg. What is the formula of the regression line?1 pointŷ = 26 + 7.8x ŷ = 7.8 + 26xŷ = -502 + 0.078x ŷ = 0.078 - 502x