business mathematics: Simple Linear Regression

The data below was collected from 36 Business Mathematics students in 2023. You have to analyze data about the predictability of weight from their height. Column 1 shows height in centimeter (x) and column 2 shows weight in kilogram (y). You must run a simple linear regression in excel and answer the questions below:

Height (cm)	Weight (kg)
167.12	51.23
181.01	62.11
176.06	69.08
173.45	65.33
172.34	65.4
175.56	56.22
177.09	64.23
178.41	62.18
172.47	51.24
170.06	55.03
169.06	58.26
172.09	52.34
173.07	57.06
170.66	56.77
173.44	53.11
180.63	63.46
169.8	59.1
174.55	65.33
172.26	57.05
179.32	61.78
182.37	63.54
175.79	58.39
169.67	64.31
171.86	54.98
172.24	59.57
162.69	48.39
174.17	56.4
165.56	56.63
176.94	63.34
172.64	62.3
167.59	48.28
174.42	58.39
169.88	66.07
171.96	52.98
177.34	65.13
175.49	61.19

Questions:

1. Write your regression model. If height is 170 cm what is the predicted weight?

2. Did you found any relationship between these two variable(explain R)

3. Explain R -squared value.

4. Explain standard error.

Instruction in Excel:

Add in Analysis Tool pack: open excel work sheet File > option > Add -ins > Excel Add in > go > Analysis Tool Pack (add in) > ok

Run Regression:

Type data in excel.

Data > Data Analysis > Regression > Input Y range > Input X range > check Labels > check Line fit plots > Right click on any data point the click Add trend line > check display equation on chart.

Note: Please attach printout of summary output, line of best fit with equation in it.