rive the two normal equations in the parameters 8, and ß that ensure least squares fit of following function. Express the two equation. y = 8 sin(x) + cos(ß x) 4 6 5 6 6 ing the given data points and calculate the values of both parameters

ŷ = 1.002x + 1.403  ŷ = 1.403x + 1.002  ŷ = 1.002(1.403)x  ŷ = 1.403(1.002)x

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: ý = bo + bịx bo = 36.465 - 1.082 b1 - 0.646 Use this to predict the number of situps a person who watches 2.5 hours of TV can do (to one decimal place)

Fit a straight line to the data and determine the slope, m, and intercept, c, assuming an unweighted least-squares fit is appropriate. Give m and c to three significant figures. Table 6.13 Variation of intensity of light reflected from a lithium fluoride crystal as a function of the angular position of a polariser 0 (degrees) Intensity (arbitrary units) 1.86 20 1.63 40 1.13 60 0.52 80 0.16 100 0.00 120 0.57 140 1.11 160 1.56 180 1.71

Answer letter d and e

Cholesterol levels (negative implies that you are below average) Butter consumption (ounces/week) -1.2 3.8 1.3 4 3 .5 3.2 1.4 4.2 .1 3.12 3.1 12 12 -1.9 6 .3 3.1 2 6.8 2 7 2.4 7.5 -.5 3.25 2.2 7 3 12 -2 7 -1 4.5 -3 12 1) Graph the scatterplot for the data. 2) Is this an appropriate situation to use correlation and regression? Explain.

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: уах+ b a = -1.098 b = 37.154 r2 = 0.444889 r = -0.667 Use this to predict the number of situps a person who watches 11 hours of TV can do. situps = [one decimal accuracy]

The equation of the LSRL for the points on a scatterplot is ŷ = 5.3-0.23x. What is the residual for the point (5, 4)?

aylor Swift wants to know the proportion of her fans who listened to her new single ME! within the first hour of it being released.  In order to estimate this, she takes a sample of 150 of her fans and asks them if they listened to the song in this time period.  Of the 150 fans, 135 of them (90%) responded that they did listen to the song during this time period.  What is the parameter and what is its value?     a. The parameter is the proportion of the 150 sampled Taylor Swift fans who listened to ME! within the first hour after it released, which is 135.       b. The parameter is the group of Taylor Swift fans who were surveyed, which is 150.       c. The parameter is the proportion of all Taylor Swift fans who listened to ME! within the first hour after it released, which is unknown.   d. The parameter is the proportion of all Taylor Swift fans who listened to ME! within the first hour after it released, which is 0.9.       e. The parameter is the…

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